Trigonometry A

Time bar (total: 12.2s)

analyze23.0ms (0.2%)

Memory
-29.2MiB live, 10.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.4s (11.5%)

Memory
-300.4MiB live, 1 900.9MiB allocated
Samples
904.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-sin: 225.0ms (32% of total)
ival-cos: 205.0ms (29.1% of total)
ival-mult: 110.0ms (15.6% of total)
ival-div: 51.0ms (7.2% of total)
ival-add: 45.0ms (6.4% of total)
ival-<=: 42.0ms (6% of total)
ival-and: 12.0ms (1.7% of total)
exact: 11.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess72.0ms (0.6%)

Memory
-6.6MiB live, 32.2MiB allocated
Algorithm
egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972
17268
215966
340466
4100366
5155066
6172566
7187466
8203066
9244266
10253966
11260066
12265466
13265966
0911
11611
21911
32011
02010
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Call 2
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin v)) (+ (* e (cos v)) -1))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(* e (/ (sin v) (- -1 (* e (cos v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(/ (* e (sin v)) (- 1 (* e (cos v))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Symmetry

(negabs v)

explain130.0ms (1.1%)

Memory
-11.9MiB live, 145.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
59.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 13.0ms (30.7% of total)
ival-mult: 12.0ms (28.3% of total)
ival-cos: 10.0ms (23.6% of total)
ival-div: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
11632
21932
32032
02030
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
e
(sin v)
v
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)

localize36.0ms (0.3%)

Memory
17.4MiB live, 55.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy99.9%
(*.f64 e (sin.f64 v))
accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
26.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (32.7% of total)
ival-sin: 6.0ms (32.7% of total)
ival-mult: 3.0ms (16.3% of total)
ival-div: 2.0ms (10.9% of total)
ival-add: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-13.8MiB live, 23.5MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (cos v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))
1.0ms
e
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite381.0ms (3.1%)

Memory
14.0MiB live, 566.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 798×accelerator-lowering-fma.f32
5 798×accelerator-lowering-fma.f64
4 350×/-lowering-/.f32
4 350×/-lowering-/.f64
3 988×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
13629
223529
3209529
0837527
Stop Event
iter limit
node limit
Counts
6 → 347
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) (/.f64 (/.f64 (*.f64 e (cos.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) (/.f64 (/.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify561.0ms (4.6%)

Memory
16.0MiB live, 771.2MiB allocated
Algorithm
egg-herbie
Rules
17 764×accelerator-lowering-fma.f32
17 764×accelerator-lowering-fma.f64
5 642×*-lowering-*.f32
5 642×*-lowering-*.f64
4 928×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216531162
348901089
085311013
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))) (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) #s(literal 1/24 binary64))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64))))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64)))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64)))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval57.0ms (0.5%)

Memory
-9.6MiB live, 102.9MiB allocated
Compiler

Compiled 14 092 to 1 288 computations (90.9% saved)

prune59.0ms (0.5%)

Memory
13.6MiB live, 101.3MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New45611467
Fresh000
Picked101
Done000
Total45711468
Accuracy
100.0%
Counts
468 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
15.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
54.1%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
99.9%
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
53.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
98.2%
(*.f64 e (sin.f64 v))
Compiler

Compiled 500 to 276 computations (44.8% saved)

simplify443.0ms (3.6%)

Memory
-8.4MiB live, 695.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 e (cos.f64 v))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
cost-diff0
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
cost-diff384
(+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))))
cost-diff768
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))))))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
Rules
15 480×accelerator-lowering-fma.f32
15 480×accelerator-lowering-fma.f64
6 070×*-lowering-*.f32
6 070×*-lowering-*.f64
2 740×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048665
1146665
2518625
31864613
45582569
08056524
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(sin v)
v
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
1
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* e e)
e
(+ 1/2 (* 1/2 (cos (* 2 v))))
1/2
(* 1/2 (cos (* 2 v)))
(cos (* 2 v))
(* 2 v)
2
(* (- 1 (* e (cos v))) e)
(- 1 (* e (cos v)))
(* e (cos v))
(cos v)
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))
(* v v)
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(* 1/2 (/ e (+ e 1)))
1/2
-1/6
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))
(/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1))
(* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2))
(* e 1/2)
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))
(- 1/120 (/ (* e 1/24) (+ e 1)))
1/120
(/ (* e 1/24) (+ e 1))
(* e 1/24)
1/24
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
Outputs
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(sin v)
(sin.f64 v)
v
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))
(* e e)
(*.f64 e e)
e
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 v)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(* 2 v)
(*.f64 v #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (- 1 (* e (cos v))) e)
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(- 1 (* e (cos v)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
(/ (* e v) (+ e 1))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(* e v)
(*.f64 v e)
e
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))
(+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))
(*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))))))))
(* v v)
(*.f64 v v)
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))))))
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))
(* 1/2 (/ e (+ e 1)))
(/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))
1/2
#s(literal 1/2 binary64)
-1/6
#s(literal -1/6 binary64)
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))
(*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) #s(literal 1/120 binary64))))
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) #s(literal 1/120 binary64)))
(/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))
(* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) e))
(* e 1/2)
(*.f64 e #s(literal 1/2 binary64))
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))
(/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1 binary64) e))
(- 1/120 (/ (* e 1/24) (+ e 1)))
(+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64)))
1/120
#s(literal 1/120 binary64)
(/ (* e 1/24) (+ e 1))
(*.f64 e (/.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) e)))
(* e 1/24)
(*.f64 e #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)

localize205.0ms (1.7%)

Memory
35.4MiB live, 379.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
accuracy99.9%
(*.f64 e (sin.f64 v))
accuracy99.8%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))
accuracy99.5%
(*.f64 e #s(literal 1/24 binary64))
accuracy99.5%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))
accuracy85.8%
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(*.f64 e v)
accuracy99.9%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
accuracy99.9%
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
accuracy99.9%
(*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
Samples
110.0ms256×0valid
Compiler

Compiled 667 to 50 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 26.0ms (33.3% of total)
ival-div: 14.0ms (17.9% of total)
const: 10.0ms (12.8% of total)
ival-cos: 9.0ms (11.5% of total)
ival-add: 8.0ms (10.2% of total)
ival-sin: 6.0ms (7.7% of total)
ival-sub: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
0.2MiB live, 116.0MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#<alt (* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))>
#<alt (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (sin v)>
#<alt (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))>
#<alt (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (* e (sin v))>
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))>
#<alt (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))>
#<alt (* e 1/24)>
#<alt (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))>
#<alt (cos v)>
Outputs
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
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#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* (pow v 2) (+ (* 1/2 (/ (* (pow e 2) (- (* 1/2 (/ e (+ 1 e))) 1/6)) (pow (+ 1 e) 2))) (/ (* e (- 1/120 (* 1/24 (/ e (+ 1 e))))) (+ 1 e))))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))>
#<alt (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* e (- (* 2/3 e) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))>
#<alt (+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/120 e)>
#<alt (* e (+ 1/120 (* -1/20 e)))>
#<alt (* e (+ 1/120 (* e (- (* 11/120 e) 1/20))))>
#<alt (* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20))))>
#<alt -1/30>
#<alt (- (* 3/40 (/ 1 e)) 1/30)>
#<alt (- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2))))>
#<alt (- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2))))>
#<alt -1/30>
#<alt (- (* 3/40 (/ 1 e)) 1/30)>
#<alt (- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

120 calls:

TimeVariablePointExpression
6.0ms
v
@0
(/ (* e (sin v)) (+ e 1))
4.0ms
v
@-inf
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))
4.0ms
v
@0
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))
4.0ms
v
@0
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
4.0ms
v
@0
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))

rewrite425.0ms (3.5%)

Memory
9.9MiB live, 610.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 410×/-lowering-/.f32
4 410×/-lowering-/.f64
3 800×*-lowering-*.f32
3 800×*-lowering-*.f64
2 830×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048465
1310393
23153393
08144370
Stop Event
iter limit
node limit
Counts
24 → 778
Calls
Call 1
Inputs
(* (/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* (- 1 (* e (cos v))) e))
(/ (sin v) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(sin v)
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))
(+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))))))
(+ (/ e (+ e 1)) (* (* v v) (+ (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1)))))))))
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (* v v) (+ (/ (* (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)) (* e 1/2)) (+ e 1)) (* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))))
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(* e 1/24)
(* (/ e (+ e 1)) (- 1/120 (/ (* e 1/24) (+ e 1))))
(cos v)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))))
(/.f64 (neg.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (sin.f64 v) (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 e (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
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(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(cos.f64 v)

simplify512.0ms (4.2%)

Memory
-20.9MiB live, 649.9MiB allocated
Algorithm
egg-herbie
Rules
10 270×accelerator-lowering-fma.f32
10 270×accelerator-lowering-fma.f64
6 212×*-lowering-*.f32
6 212×*-lowering-*.f64
6 068×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010109380
132279164
085048566
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
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(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
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(/ v (- 1 (pow e 2)))
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(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (sin v) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(sin v)
(+ (sin v) (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))))
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(* -1 (/ (sin v) (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (pow e 2))
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (* (pow e 4) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))))) (pow e 2))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
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v
(+ v (* -1 (/ v e)))
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v
(+ v (* -1 (/ v e)))
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(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
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(/ (* e v) (+ 1 e))
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(* e v)
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e
(* e (+ 1 (/ 1 e)))
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e
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2/15
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(/ (* e v) (+ 1 e))
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(* 2/15 (pow v 2))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(* -1/6 e)
(* e (- (* 2/3 e) 1/6))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/120 e)
(* e (+ 1/120 (* -1/20 e)))
(* e (+ 1/120 (* e (- (* 11/120 e) 1/20))))
(* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20))))
-1/30
(- (* 3/40 (/ 1 e)) 1/30)
(- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2))))
(- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2))))
-1/30
(- (* 3/40 (/ 1 e)) 1/30)
(- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30)
(- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30)
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(/.f64 (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 e #s(literal -1/8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (/.f64 (*.f64 (*.f64 e e) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/80 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 (/.f64 (*.f64 (*.f64 e e) (-.f64 (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 e #s(literal -1/8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (/.f64 (*.f64 (*.f64 e e) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2/45 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal -1/3 binary64)) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (-.f64 #s(literal 1 binary64) (*.f64 e e))))))) (-.f64 (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 e #s(literal -1/8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e))))) (/.f64 (*.f64 (*.f64 e e) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))) (-.f64 (/.f64 (*.f64 e (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) (*.f64 e e)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (*.f64 e (*.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (*.f64 e e) (+.f64 (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(-.f64 (*.f64 (cos.f64 v) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (/.f64 (sin.f64 v) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (/.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))))) e)) e))
(/ v (- 1 (pow e 2)))
(/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(* v (+ (* -1 (* (pow v 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2))))) (/ 1 (- 1 (pow e 2)))))
(*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))))))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (- 1 (pow e 2)))) (+ (* -1 (/ (* (pow e 2) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (* -1/3 (/ (pow e 2) (pow (- 1 (pow e 2)) 2)))))) (+ (* 1/6 (/ 1 (- 1 (pow e 2)))) (/ (pow e 2) (pow (- 1 (pow e 2)) 2))))) (/ 1 (- 1 (pow e 2)))))
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(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e))))
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e)))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -17/15 binary64)) e)) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* e (- (* 2/3 e) 1/6))
(*.f64 e (+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e #s(literal -7/6 binary64)))) #s(literal -1/6 binary64)))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
(*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 5/3 binary64)) #s(literal -7/6 binary64))))) #s(literal -1/6 binary64)))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 5/6 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 e e)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -5/6 binary64) e) (/.f64 #s(literal 11/6 binary64) (*.f64 e (*.f64 e e)))))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 5/6 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -4/3 binary64) e)) e))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -11/6 binary64) e)) e)) e))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/24 e)
(*.f64 e #s(literal 1/24 binary64))
(* 1/120 e)
(*.f64 e #s(literal 1/120 binary64))
(* e (+ 1/120 (* -1/20 e)))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -1/20 binary64))))
(* e (+ 1/120 (* e (- (* 11/120 e) 1/20))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 11/120 binary64)) #s(literal -1/20 binary64)))))
(* e (+ 1/120 (* e (- (* e (+ 11/120 (* -2/15 e))) 1/20))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 11/120 binary64))) #s(literal -1/20 binary64)))))
-1/30
#s(literal -1/30 binary64)
(- (* 3/40 (/ 1 e)) 1/30)
(+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64))
(- (* 3/40 (/ 1 e)) (+ 1/30 (/ 7/60 (pow e 2))))
(+.f64 (/.f64 #s(literal 3/40 binary64) e) (-.f64 #s(literal -1/30 binary64) (/.f64 #s(literal 7/60 binary64) (*.f64 e e))))
(- (+ (* 3/40 (/ 1 e)) (* 19/120 (/ 1 (pow e 3)))) (+ 1/30 (/ 7/60 (pow e 2))))
(-.f64 (+.f64 (/.f64 #s(literal 19/120 binary64) (*.f64 e (*.f64 e e))) (+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64))) (/.f64 #s(literal 7/60 binary64) (*.f64 e e)))
-1/30
#s(literal -1/30 binary64)
(- (* 3/40 (/ 1 e)) 1/30)
(+.f64 (/.f64 #s(literal 3/40 binary64) e) #s(literal -1/30 binary64))
(- (* -1 (/ (- (* 7/60 (/ 1 e)) 3/40) e)) 1/30)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 7/60 binary64) e) #s(literal -3/40 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1/30 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 19/120 (/ 1 e)) 7/60) e)) 3/40) e)) 1/30)
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 19/120 binary64) e) #s(literal -7/60 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -3/40 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1/30 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval278.0ms (2.3%)

Memory
33.7MiB live, 496.8MiB allocated
Compiler

Compiled 99 232 to 6 710 computations (93.2% saved)

prune216.0ms (1.8%)

Memory
4.1MiB live, 372.7MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 713221 735
Fresh336
Picked235
Done000
Total1 718281 746
Accuracy
100.0%
Counts
1 746 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
53.8%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
53.7%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
53.8%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
54.1%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
54.1%
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
55.2%
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
55.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
55.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
54.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
98.8%
(/.f64 e (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
97.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
2.5%
(-.f64 v (/.f64 v e))
98.3%
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
99.8%
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
54.1%
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
53.3%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
98.2%
(*.f64 e (sin.f64 v))
53.9%
(*.f64 e v)
5.8%
(sin.f64 v)
4.5%
v
Compiler

Compiled 966 to 562 computations (41.8% saved)

simplify238.0ms (2%)

Memory
2.3MiB live, 351.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
cost-diff128
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
cost-diff256
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
cost-diff0
(-.f64 #s(literal 0 binary64) e)
cost-diff128
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
Rules
5 356×accelerator-lowering-fma.f32
5 356×accelerator-lowering-fma.f64
3 286×*-lowering-*.f32
3 286×*-lowering-*.f64
2 526×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032230
177228
2172224
3454212
41159212
52975211
67453211
08344200
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(- 0 e)
0
e
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
-1
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
v
(/ 1 (/ (/ (+ 1 e) e) v))
1
(/ (/ (+ 1 e) e) v)
(/ (+ 1 e) e)
(+ 1 e)
e
v
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))
(* v v)
(/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6))
(+ (/ (* e 1/2) (+ e 1)) -1/6)
(/ (* e 1/2) (+ e 1))
(* e 1/2)
1/2
-1/6
(/ e (/ 1 (sin v)))
e
(/ 1 (sin v))
1
(sin v)
v
Outputs
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(- 0 e)
(-.f64 #s(literal 0 binary64) e)
0
#s(literal 0 binary64)
e
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
-1
#s(literal -1 binary64)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
v
(/ 1 (/ (/ (+ 1 e) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
1
#s(literal 1 binary64)
(/ (/ (+ 1 e) e) v)
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
v
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))))
(/.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))
(/.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))) #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64)))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))
(* v v)
(*.f64 v v)
(/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6))
(*.f64 e (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64)))
(+ (/ (* e 1/2) (+ e 1)) -1/6)
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal -1/6 binary64))
(/ (* e 1/2) (+ e 1))
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(* e 1/2)
(*.f64 e #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/6
#s(literal -1/6 binary64)
(/ e (/ 1 (sin v)))
(*.f64 e (sin.f64 v))
e
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
v

localize117.0ms (1%)

Memory
-6.3MiB live, 192.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 v)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
accuracy99.7%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
accuracy100.0%
(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy99.9%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
accuracy99.5%
(*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))
accuracy85.8%
(*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy99.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
accuracy99.9%
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Samples
71.0ms256×0valid
Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 15.0ms (31.4% of total)
ival-mult: 10.0ms (20.9% of total)
ival-add: 6.0ms (12.5% of total)
ival-cos: 6.0ms (12.5% of total)
ival-sin: 5.0ms (10.5% of total)
const: 4.0ms (8.4% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-0.0MiB live, 36.8MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))>
#<alt (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (- 0 e)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ 1 (/ (/ (+ 1 e) e) v))>
#<alt (/ (/ (+ 1 e) e) v)>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 e)>
#<alt (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))))>
#<alt (/ e (+ e 1))>
#<alt (+ e 1)>
#<alt (/ e (/ 1 (sin v)))>
#<alt (/ 1 (sin v))>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))>
#<alt (* e (+ (/ (* e 1/2) (+ e 1)) -1/6))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* -1 (sin v))>
#<alt (+ (* -1 (sin v)) (* e (* (cos v) (sin v))))>
#<alt (+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))>
#<alt (+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v)))))>
#<alt (* -1 (/ (sin v) (* e (cos v))))>
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e)>
#<alt (* -1 (/ (sin v) (* e (cos v))))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))>
#<alt (* -1 (/ v (+ 1 e)))>
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))>
#<alt (* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (+ (* 1/6 (/ 1 (+ 1 e))) (* (pow v 2) (+ (* -1 (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))))))) (/ 1 (+ 1 e))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 (/ (sin v) (+ 1 (* e (cos v)))))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e)))>
#<alt (- (+ 1 (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (- (+ 1 (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (+ (* 1/2 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (+ (* 1/2 (/ (pow v 2) (pow e 3))) (+ (/ 1 e) (/ 1 (pow e 3))))))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2)))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2)))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (/ e (+ 1 e))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ (/ e (+ 1 e)) (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ e (* (pow v 2) (+ 1 e))) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2)))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e)))>
#<alt (- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e))))>
#<alt (- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3)))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* e (- (* 1/2 e) 1/6))>
#<alt (* e (- (* e (+ 1/2 (* -1/2 e))) 1/6))>
#<alt (* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6))>
#<alt (* 1/3 e)>
#<alt (* e (- 1/3 (* 1/2 (/ 1 e))))>
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e))))>
#<alt (* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3))))))>
#<alt (* 1/3 e)>
#<alt (* -1 (* e (- (* 1/2 (/ 1 e)) 1/3)))>
#<alt (* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3)))>
#<alt (* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3)))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(/ 1 (sin v))
2.0ms
e
@inf
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))
1.0ms
v
@0
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
1.0ms
v
@inf
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
1.0ms
v
@-inf
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))

rewrite463.0ms (3.8%)

Memory
35.0MiB live, 821.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 982×/-lowering-/.f32
5 982×/-lowering-/.f64
5 724×*-lowering-*.f32
5 724×*-lowering-*.f64
3 978×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032164
1209160
21834158
09263149
Stop Event
iter limit
node limit
Counts
18 → 1 124
Calls
Call 1
Inputs
(* (- 0 e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
(- 0 e)
(/ (+ 1 (* e (cos v))) (sin v))
(/ 1 (/ (/ (+ 1 e) e) v))
(/ (/ (+ 1 e) e) v)
(/ (+ 1 e) e)
(+ 1 e)
(+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1))))
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))))
(/ e (+ e 1))
(+ e 1)
(/ e (/ 1 (sin v)))
(/ 1 (sin v))
(sin v)
(* e (cos v))
(* (* v v) (/ (* e (+ (/ (* e 1/2) (+ e 1)) -1/6)) (+ e 1)))
(* e (+ (/ (* e 1/2) (+ e 1)) -1/6))
Outputs
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 0 binary64)) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 0 binary64) (*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(neg.f64 (*.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 e e)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 e e)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) e))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal -1 binary64)) (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal -1 binary64)) (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (*.f64 e e))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (*.f64 e e))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) e)
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal -1 binary64))) (neg.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 e e))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e)))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 e e))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e e)))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) e)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 e e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64))) (neg.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))))) (-.f64 #s(literal 0 binary64) (*.f64 e e)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (*.f64 e e)))) (-.f64 #s(literal 0 binary64) e))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (-.f64 #s(literal 0 binary64) (*.f64 e e)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (-.f64 #s(literal 0 binary64) e))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/216 binary64)) e)) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal -1/36 binary64)) e)) (neg.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/6 binary64))))
(*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) e)

simplify548.0ms (4.5%)

Memory
0.2MiB live, 778.5MiB allocated
Algorithm
egg-herbie
Rules
12 180×accelerator-lowering-fma.f32
12 180×accelerator-lowering-fma.f64
5 390×*-lowering-*.f32
5 390×*-lowering-*.f64
4 304×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06534826
120834516
263984505
081774207
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(* -1 (sin v))
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(* -1 (/ (sin v) (* e (cos v))))
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e)
(* -1 (/ (sin v) (* e (cos v))))
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))
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(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
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(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
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v
(+ v (* -1 (/ v e)))
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(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
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(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
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(/ 1 v)
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(/ 1 e)
(/ (+ 1 e) e)
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1
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1
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1
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e
(* e (+ 1 (/ 1 e)))
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e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ 1 (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))))) (* 1/2 (pow v 2))))) (+ 1 (* -1/6 (pow v 2))))))))
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e
(* e (+ 1 (* -1 e)))
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1
(- 1 (/ 1 e))
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(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
1
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e
(* e (+ 1 (/ 1 e)))
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e
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(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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(sin v)
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(sin v)
(* e (cos v))
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(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(* -1/6 (* e (pow v 2)))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))
(* 1/3 (pow v 2))
(- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e)))
(- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e))))
(- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3)))))))
(* 1/3 (pow v 2))
(+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(* -1/6 e)
(* e (- (* 1/2 e) 1/6))
(* e (- (* e (+ 1/2 (* -1/2 e))) 1/6))
(* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6))
(* 1/3 e)
(* e (- 1/3 (* 1/2 (/ 1 e))))
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e))))
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3))))))
(* 1/3 e)
(* -1 (* e (- (* 1/2 (/ 1 e)) 1/3)))
(* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3)))
(* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3)))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* -1 (sin v))
(-.f64 #s(literal 0 binary64) (sin.f64 v))
(+ (* -1 (sin v)) (* e (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(+ (* -1 (sin v)) (* e (+ (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* (cos v) (sin v)))))
(+.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) e)) (*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v)))))
(+.f64 (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(* -1 (/ (sin v) (* e (cos v))))
(/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))))
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)
(/ (+ (* -1 (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (+ (/ (sin v) (* e (pow (cos v) 2))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))))) e)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))) e)
(* -1 (/ (sin v) (* e (cos v))))
(/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))))
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (/ v (+ 1 e)))
(*.f64 v (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(* v (- (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64)))))
(* v (- (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 e #s(literal 1/120 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 e (*.f64 v v))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 e (*.f64 v v))))))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(* -1/6 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) #s(literal 2/3 binary64))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -7/6 binary64))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (+ (* 1/2 (pow v 2)) (* e (- (+ (* -1/2 (pow v 2)) (+ (* -1/6 (pow v 2)) (* e (- (pow v 2) (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* 1/2 (pow v 2))))) (* -1/6 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/3 binary64)) (*.f64 e (+.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(- (+ (* -1/2 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/3 (/ (pow v 2) e)))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 v v) (/.f64 (*.f64 v v) e))))
(- (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2)))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e))))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 v v) e) e) (*.f64 v v))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))))
(- (+ (* -1 (/ (pow v 2) (pow e 3))) (+ (* -1/2 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (pow v 2)) (* 1/2 (/ (pow v 2) (pow e 2))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (+ (* 1/3 (/ (pow v 2) e)) (+ (* 1/3 (/ (pow v 2) (pow e 3))) (* 1/2 (/ (pow v 2) (pow e 3)))))))
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 v v) e) e) (*.f64 v v)))) (-.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e) (/.f64 (*.f64 v v) (*.f64 e (*.f64 e e))))) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (*.f64 e (*.f64 e e)))))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) e) (*.f64 (*.f64 v v) #s(literal -5/6 binary64))) e))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* 1/2 (pow v 2))) (* -1/3 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) #s(literal 4/3 binary64))) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* e (- (* 1/2 e) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/2 binary64))))
(* e (- (* e (+ 1/2 (* -1/2 e))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64))))))
(* e (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 e #s(literal 1/2 binary64))))))))
(* 1/3 e)
(*.f64 e #s(literal 1/3 binary64))
(* e (- 1/3 (* 1/2 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e)))
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e)))
(* e (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3))))))
(*.f64 e (+.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e) (/.f64 #s(literal 1/2 binary64) (*.f64 e (*.f64 e e))))))
(* 1/3 e)
(*.f64 e #s(literal 1/3 binary64))
(* -1 (* e (- (* 1/2 (/ 1 e)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) e)))
(* -1 (* e (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e)))
(* -1 (* e (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 e)) 1/2) e)) 1/2) e)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) e)) e)) e)))

eval275.0ms (2.3%)

Memory
34.7MiB live, 465.8MiB allocated
Compiler

Compiled 45 238 to 4 950 computations (89.1% saved)

prune752.0ms (6.2%)

Memory
-82.3MiB live, 469.0MiB allocated
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New1 572241 596
Fresh91120
Picked325
Done123
Total1 585391 624
Accuracy
100.0%
Counts
1 624 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
66.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
24.0%
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
53.8%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
54.1%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
55.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
54.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
55.0%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
54.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
54.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
53.4%
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
53.8%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
47.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
68.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)))
66.7%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
98.3%
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
55.2%
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
98.2%
(*.f64 (sin.f64 v) e)
99.8%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
53.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
53.3%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
53.5%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
54.1%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
53.5%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
53.9%
(*.f64 e v)
5.8%
(sin.f64 v)
4.5%
v
Compiler

Compiled 1 250 to 764 computations (38.9% saved)

simplify531.0ms (4.4%)

Memory
-3.7MiB live, 667.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))))
cost-diff256
(-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64))))
cost-diff256
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
cost-diff1280
(/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64))))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
cost-diff256
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
cost-diff0
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
cost-diff0
(*.f64 e v)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
cost-diff128
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
cost-diff128
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
Rules
15 860×accelerator-lowering-fma.f32
15 860×accelerator-lowering-fma.f64
5 914×*-lowering-*.f32
5 914×*-lowering-*.f64
2 080×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038495
1114494
2326353
31267325
45605322
08593308
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(neg e)
e
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
-1
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
(* e v)
e
v
(/ 1 (/ (/ (+ e 1) v) e))
1
(/ (/ (+ e 1) v) e)
(/ (+ e 1) v)
(+ e 1)
e
v
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (/ (* e -1/6) (+ e 1)))
(* v v)
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))
(* v v)
(/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)))
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6)))
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2))))
(/ e (/ (+ e 1) (* e 1/2)))
(/ (+ e 1) (* e 1/2))
(* e 1/2)
1/2
(* (* e -1/6) (* e -1/6))
(* e -1/6)
-1/6
(- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))
Outputs
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(neg e)
(-.f64 #s(literal 0 binary64) e)
e
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
-1
#s(literal -1 binary64)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(* e v)
(*.f64 e v)
e
v
(/ 1 (/ (/ (+ e 1) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
1
#s(literal 1 binary64)
(/ (/ (+ e 1) v) e)
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)
(/ (+ e 1) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+ e 1)
(+.f64 e #s(literal 1 binary64))
e
v
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))))
(*.f64 v (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (/ (* e -1/6) (+ e 1)))
(*.f64 (*.f64 e v) (*.f64 v (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
(* v v)
(*.f64 v v)
(/ (* e -1/6) (+ e 1))
(/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) e))
v
(+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))))
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))
(*.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(* v v)
(*.f64 v v)
(/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1))
(/.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6)))
(*.f64 e (*.f64 e (+.f64 #s(literal -1/36 binary64) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal 1 binary64))))))
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2))))
(/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/ e (/ (+ e 1) (* e 1/2)))
(/.f64 (*.f64 e e) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/ (+ e 1) (* e 1/2))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))
(* e 1/2)
(*.f64 e #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* e -1/6) (* e -1/6))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

localize172.0ms (1.4%)

Memory
4.5MiB live, 319.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))
accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
accuracy85.8%
(*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))
accuracy47.7%
(/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64))))
accuracy100.0%
(/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64)))
accuracy99.9%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
accuracy85.8%
(*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
accuracy99.8%
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
accuracy100.0%
(*.f64 e v)
accuracy99.9%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Samples
104.0ms256×0valid
Compiler

Compiled 511 to 40 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-add: 24.0ms (29.1% of total)
ival-mult: 21.0ms (25.4% of total)
ival-div: 17.0ms (20.6% of total)
ival-sin: 6.0ms (7.3% of total)
ival-cos: 6.0ms (7.3% of total)
const: 4.0ms (4.8% of total)
ival-sub: 2.0ms (2.4% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
21.5MiB live, 61.6MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#<alt (* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))>
#<alt (/ -1 (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (/ 1 (/ (/ (+ e 1) v) e))>
#<alt (/ (/ (+ e 1) v) e)>
#<alt (/ (+ e 1) v)>
#<alt (+ e 1)>
#<alt (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))))>
#<alt (/ e (+ e 1))>
#<alt (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)))>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))>
#<alt (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6)))>
#<alt (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2))))>
#<alt (* e (cos v))>
#<alt (* (* v v) (/ (* e -1/6) (+ e 1)))>
#<alt (* e -1/6)>
#<alt (/ (* e -1/6) (+ e 1))>
#<alt (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))>
#<alt (* (* e -1/6) (* e -1/6))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
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#<alt (* (pow v 3) (- (+ (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (/ e (* (pow v 2) (+ 1 e)))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))>
#<alt (* (pow v 3) (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/4 (/ (pow e 4) (* (pow (+ 1 e) 3) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))) (* 1/36 (/ (pow e 2) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (* e (+ (* e (* v (- (* -3 (pow v 2)) (+ 1 (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))))))) (* v (- (+ 1 (* 3/2 (pow v 2))) (* 8/3 (pow v 2)))))))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/2 (pow v 2)) (+ 1 (* 1/4 (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))))))) (pow e 3)) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2)))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 3/2 (pow v 2))) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))))) e)) (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (* -1/36 (pow e 2))>
#<alt (* (pow e 2) (- (* 1/4 (pow e 2)) 1/36))>
#<alt (* (pow e 2) (- (* (pow e 2) (+ 1/4 (* -1/2 e))) 1/36))>
#<alt (* (pow e 2) (- (* (pow e 2) (+ 1/4 (* e (- (* 3/4 e) 1/2)))) 1/36))>
#<alt (* 2/9 (pow e 2))>
#<alt (* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))>
#<alt (* 2/9 (pow e 2))>
#<alt (* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (+ 2/9 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))>
#<alt (* (pow e 2) (+ 2/9 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))>
#<alt (* 1/4 (pow e 4))>
#<alt (* (pow e 4) (+ 1/4 (* -1/2 e)))>
#<alt (* (pow e 4) (+ 1/4 (* e (- (* 3/4 e) 1/2))))>
#<alt (* (pow e 4) (+ 1/4 (* e (- (* e (+ 3/4 (* -1 e))) 1/2))))>
#<alt (* 1/4 (pow e 2))>
#<alt (* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))>
#<alt (* 1/4 (pow e 2))>
#<alt (* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))>
#<alt (* (pow e 2) (+ 1/4 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))>
#<alt (* (pow e 2) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (/ (* e (pow v 2)) (+ 1 e)))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* -1/6 (* e (pow v 2))) (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* 1/6 (pow v 2)) (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))))))>
#<alt (* -1/6 (pow v 2))>
#<alt (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))>
#<alt (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))))>
#<alt (+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (* 1/6 (/ (pow v 2) (pow e 3))))))>
#<alt (* -1/6 (pow v 2))>
#<alt (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))>
#<alt (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* e (- (* 1/6 e) 1/6))>
#<alt (* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))>
#<alt (* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))>
#<alt -1/6>
#<alt (- (* 1/6 (/ 1 e)) 1/6)>
#<alt (- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))>
#<alt (- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))>
#<alt -1/6>
#<alt (- (* 1/6 (/ 1 e)) 1/6)>
#<alt (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (+ (* 3/2 (pow v 2)) (* e (- (* -3 (pow v 2)) (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2))))))) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (- (+ (* -3/4 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/12 (/ (pow v 2) e)))>
#<alt (- (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2))))) (+ (* 1/12 (/ (pow v 2) e)) (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2)))))>
#<alt (- (+ (* -3/2 (/ (pow v 2) (pow e 3))) (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2)))))) (+ (* 1/12 (/ (pow v 2) e)) (+ (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))) (* 1/4 (/ (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))) (pow e 3))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -1 (/ (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
#<alt (* 1/36 (pow e 2))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
e
@-inf
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
3.0ms
v
@inf
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
3.0ms
v
@0
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
1.0ms
v
@0
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))
1.0ms
e
@inf
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))

rewrite494.0ms (4.1%)

Memory
9.9MiB live, 889.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 100×*-lowering-*.f32
6 100×*-lowering-*.f64
5 070×/-lowering-/.f32
5 070×/-lowering-/.f64
4 076×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038283
1250219
22460219
09639208
Stop Event
iter limit
node limit
Counts
22 → 821
Calls
Call 1
Inputs
(* (neg e) (/ -1 (/ (+ 1 (* e (cos v))) (sin v))))
(/ -1 (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e v)
(/ 1 (/ (/ (+ e 1) v) e))
(/ (/ (+ e 1) v) e)
(/ (+ e 1) v)
(+ e 1)
(+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1))))
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (* e -1/6) (+ e 1)))))
(/ e (+ e 1))
(/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6)))
(* v (+ (/ e (+ e 1)) (* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))))
(- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6)))
(* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2))))
(* e (cos v))
(* (* v v) (/ (* e -1/6) (+ e 1)))
(* e -1/6)
(/ (* e -1/6) (+ e 1))
(* (* v v) (/ (/ (- (* (/ e (/ (+ e 1) (* e 1/2))) (/ e (/ (+ e 1) (* e 1/2)))) (* (* e -1/6) (* e -1/6))) (- (/ e (/ (+ e 1) (* e 1/2))) (* e -1/6))) (+ e 1)))
(* (* e -1/6) (* e -1/6))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 e (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) e))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (sin.f64 v))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) e)
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
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(*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/36 binary64) (*.f64 e e))
(*.f64 (*.f64 e (*.f64 e #s(literal -1/6 binary64))) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1/36 binary64) e) e)
(*.f64 (exp.f64 (log.f64 (*.f64 e #s(literal -1/6 binary64)))) (exp.f64 (log.f64 (*.f64 e #s(literal -1/6 binary64)))))

simplify902.0ms (7.4%)

Memory
-25.5MiB live, 693.9MiB allocated
Algorithm
egg-herbie
Rules
10 284×accelerator-lowering-fma.f32
10 284×accelerator-lowering-fma.f64
5 710×*-lowering-*.f32
5 710×*-lowering-*.f64
4 672×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07806596
124396331
275616303
080775930
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
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(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -3/2 (pow v 2)) (+ 1 (* 1/4 (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))))))) (pow e 3)) (+ (/ (* v (- (* -3/4 (pow v 2)) (+ 1 (* 1/12 (pow v 2))))) e) (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2)))))) (pow e 2)))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* -1 (/ (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 3/2 (pow v 2))) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2)))))))) e)) (* v (- (+ 1 (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* v (- (+ 1 (* 3/4 (pow v 2))) (* -1/12 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(* -1/36 (pow e 2))
(* (pow e 2) (- (* 1/4 (pow e 2)) 1/36))
(* (pow e 2) (- (* (pow e 2) (+ 1/4 (* -1/2 e))) 1/36))
(* (pow e 2) (- (* (pow e 2) (+ 1/4 (* e (- (* 3/4 e) 1/2)))) 1/36))
(* 2/9 (pow e 2))
(* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))
(* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))
(* (pow e 2) (- (+ 2/9 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))
(* 2/9 (pow e 2))
(* (pow e 2) (- 2/9 (* 1/2 (/ 1 e))))
(* (pow e 2) (+ 2/9 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))
(* (pow e 2) (+ 2/9 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))
(* 1/4 (pow e 4))
(* (pow e 4) (+ 1/4 (* -1/2 e)))
(* (pow e 4) (+ 1/4 (* e (- (* 3/4 e) 1/2))))
(* (pow e 4) (+ 1/4 (* e (- (* e (+ 3/4 (* -1 e))) 1/2))))
(* 1/4 (pow e 2))
(* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))
(* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (* 1/2 (/ 1 e))))
(* (pow e 2) (- (+ 1/4 (/ 3/4 (pow e 2))) (+ (* 1/2 (/ 1 e)) (/ 1 (pow e 3)))))
(* 1/4 (pow e 2))
(* (pow e 2) (- 1/4 (* 1/2 (/ 1 e))))
(* (pow e 2) (+ 1/4 (* -1 (/ (- 1/2 (* 3/4 (/ 1 e))) e))))
(* (pow e 2) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (/ 1 e)) e))) e))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (/ (* e (pow v 2)) (+ 1 e)))
(* -1/6 (* e (pow v 2)))
(* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* -1/6 (* e (pow v 2))) (* 1/6 (pow v 2))))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* 1/6 (pow v 2)) (* e (+ (* -1/6 (pow v 2)) (* 1/6 (* e (pow v 2)))))))))
(* -1/6 (pow v 2))
(+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))
(+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(+ (* -1/6 (/ (pow v 2) (pow e 2))) (+ (* -1/6 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (* 1/6 (/ (pow v 2) (pow e 3))))))
(* -1/6 (pow v 2))
(+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e)))
(+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow v 2)) (* 1/6 (/ (pow v 2) e))) e)) (* -1/6 (pow v 2))) e)) (* -1/6 (pow v 2)))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* e (- (* 1/6 e) 1/6))
(* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))
(* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))
-1/6
(- (* 1/6 (/ 1 e)) 1/6)
(- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))
(- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))
-1/6
(- (* 1/6 (/ 1 e)) 1/6)
(- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(* -1/6 (* e (pow v 2)))
(* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (+ (* 3/2 (pow v 2)) (* e (- (* -3 (pow v 2)) (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2))))))) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))
(* 1/3 (pow v 2))
(- (+ (* -3/4 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/12 (/ (pow v 2) e)))
(- (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2))))) (+ (* 1/12 (/ (pow v 2) e)) (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2)))))
(- (+ (* -3/2 (/ (pow v 2) (pow e 3))) (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2)))))) (+ (* 1/12 (/ (pow v 2) e)) (+ (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))) (* 1/4 (/ (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))) (pow e 3))))))
(* 1/3 (pow v 2))
(+ (* -1 (/ (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
(* 1/36 (pow e 2))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (neg.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))) (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1/720 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/24 binary64)))))) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* -1 (sin v))
(-.f64 #s(literal 0 binary64) (sin.f64 v))
(+ (* -1 (sin v)) (* e (* (cos v) (sin v))))
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(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(/ (* (pow v 2) (- (* 1/4 (/ (pow e 4) (pow (+ 1 e) 2))) (* 1/36 (pow e 2)))) (* (+ 1 e) (- (* 1/2 (/ (pow e 2) (+ 1 e))) (* -1/6 e))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 e #s(literal 4 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e e) #s(literal -1/36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e #s(literal 1/6 binary64)))))
(* -1/6 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))
(* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -7/6 binary64))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))
(* e (+ (* -1/6 (pow v 2)) (* e (- (* e (- (+ (* 3/2 (pow v 2)) (* e (- (* -3 (pow v 2)) (* 4 (- (* 3/2 (pow v 2)) (* 8/3 (pow v 2))))))) (* 8/3 (pow v 2)))) (* -2/3 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 e (-.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (*.f64 (*.f64 v v) #s(literal -14/3 binary64)))) (*.f64 (*.f64 v v) #s(literal -7/6 binary64)))) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))))))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(- (+ (* -3/4 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (* 1/12 (/ (pow v 2) e)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e))
(- (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2))))) (+ (* 1/12 (/ (pow v 2) e)) (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2)))))
(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 v v) e) e) #s(literal 9/8 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/24 binary64)) (*.f64 e e)))
(- (+ (* -3/2 (/ (pow v 2) (pow e 3))) (+ (* -3/4 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 9/8 (/ (pow v 2) (pow e 2)))))) (+ (* 1/12 (/ (pow v 2) e)) (+ (* 1/4 (/ (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))) (pow e 2))) (* 1/4 (/ (- (* 9/8 (pow v 2)) (* 1/4 (- (* -3/4 (pow v 2)) (* 1/12 (pow v 2))))) (pow e 3))))))
(-.f64 (-.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 v v) e) e) e) #s(literal -3/2 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 v v) e) e) #s(literal 9/8 binary64))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/6 binary64)) e))) (*.f64 (/.f64 #s(literal 1/4 binary64) e) (/.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/24 binary64)) (*.f64 e e)))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(+ (* -1 (/ (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) e))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))) (-.f64 #s(literal 0 binary64) e))) e))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/2 (pow v 2)) (* -1/4 (- (* 9/8 (pow v 2)) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))))) e)) (* 9/8 (pow v 2))) (* -1/4 (- (* 3/4 (pow v 2)) (* -1/12 (pow v 2))))) e)) (* 3/4 (pow v 2))) (* -1/12 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 v (*.f64 v #s(literal 9/8 binary64))) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))))) e)) (*.f64 (*.f64 v v) #s(literal -5/24 binary64))) (-.f64 #s(literal 0 binary64) e))) e))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))
(* 1/36 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 1/36 binary64))

eval385.0ms (3.2%)

Memory
48.4MiB live, 309.7MiB allocated
Compiler

Compiled 57 245 to 5 340 computations (90.7% saved)

prune308.0ms (2.5%)

Memory
-29.2MiB live, 429.9MiB allocated
Pruning

46 alts after pruning (39 fresh and 7 done)

PrunedKeptTotal
New1 538121 550
Fresh32730
Picked235
Done044
Total1 543461 589
Accuracy
100.0%
Counts
1 589 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
66.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
24.0%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
53.8%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
54.1%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
55.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
54.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
55.0%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
54.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
54.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
53.4%
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
53.8%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
52.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
47.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
68.4%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)))
66.7%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
98.3%
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
98.2%
(*.f64 (sin.f64 v) e)
55.2%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
54.1%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
99.8%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
53.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
53.5%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
53.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
53.8%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
4.3%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
4.3%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
53.3%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
53.5%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
54.1%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
53.5%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
53.9%
(*.f64 e v)
5.8%
(sin.f64 v)
4.5%
v
Compiler

Compiled 2 174 to 819 computations (62.3% saved)

regimes73.0ms (0.6%)

Memory
-14.3MiB live, 142.1MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)))
(/.f64 e (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

21.0ms
v
20.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
e
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes47.0ms (0.4%)

Memory
-5.6MiB live, 74.7MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

19.0ms
v
17.0ms
e
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes43.0ms (0.4%)

Memory
33.0MiB live, 70.4MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
Calls

2 calls:

19.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
98.3%1e
98.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.3%)

Memory
-4.6MiB live, 72.6MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

17.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
98.3%1v
98.3%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes68.0ms (0.6%)

Memory
-28.0MiB live, 55.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

26.0ms
v
15.0ms
e
Results
AccuracySegmentsBranch
98.2%1e
98.2%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory
0.1MiB live, 77.4MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
Calls

2 calls:

15.0ms
e
14.0ms
v
Results
AccuracySegmentsBranch
55.2%1e
55.2%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory
32.5MiB live, 73.1MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))) v)))
(/.f64 e (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/36 binary64)) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64)))) v) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (+.f64 (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) v))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) e) v) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 e (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 e (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64))))) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e #s(literal -1/6 binary64)))) (-.f64 (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal 1/2 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))))))))))
Outputs
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
Calls

2 calls:

16.0ms
v
14.0ms
e
Results
AccuracySegmentsBranch
55.2%1v
55.2%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
-22.7MiB live, 55.3MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v))
Outputs
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
Calls

2 calls:

11.0ms
e
10.0ms
v
Results
AccuracySegmentsBranch
55.1%1e
55.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
8.9MiB live, 45.0MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 v v) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e #s(literal -1/6 binary64))))))
Outputs
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
Calls

2 calls:

11.0ms
e
9.0ms
v
Results
AccuracySegmentsBranch
54.9%1e
54.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
6.0MiB live, 47.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 e e))) e) v))
Outputs
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
Calls

2 calls:

11.0ms
v
8.0ms
e
Results
AccuracySegmentsBranch
54.9%1v
54.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
4.2MiB live, 42.7MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
v
6.0ms
e
Results
AccuracySegmentsBranch
54.1%1e
54.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-8.1MiB live, 30.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Outputs
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

6.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
54.1%1v
54.1%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
Outputs
(*.f64 e v)
Calls

2 calls:

2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
53.9%1v
53.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
v
Outputs
v
Calls

2 calls:

1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
4.5%1v
4.5%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify46.0ms (0.4%)

Memory
3.4MiB live, 41.2MiB allocated
Algorithm
egg-herbie
Rules
114×+-commutative_binary64
112×*-commutative_binary64
68×sub-neg_binary64
60×neg-sub0_binary64
60×neg-mul-1_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
088234
1151234
2175234
3216234
4269234
5312234
6355234
7382233
8405233
9409233
10410233
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/120 binary64)))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))))) v))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v)))
(*.f64 e (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal -1/2 binary64))))) v)))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v #s(literal 7/360 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v

soundness1.4s (11.7%)

Memory
-17.8MiB live, 1 285.7MiB allocated
Rules
17 764×accelerator-lowering-fma.f32
17 764×accelerator-lowering-fma.f64
12 180×accelerator-lowering-fma.f32
12 180×accelerator-lowering-fma.f64
10 284×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
13629
223529
3209529
0837527
032164
1209160
21834158
09263149
06534826
120834516
263984505
081774207
07806596
124396331
275616303
080775930
010109380
132279164
085048566
048465
1310393
23153393
08144370
01951209
15841194
216531162
348901089
085311013
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 500 to 270 computations (46% saved)

preprocess142.0ms (1.2%)

Memory
22.7MiB live, 275.1MiB allocated
Remove

(negabs v)

Compiler

Compiled 652 to 300 computations (54% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...