Trigonometry A

Time bar (total: 12.4s)

analyze7.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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)

sample1.6s (13.1%)

Memory
-291.6MiB live, 1 933.3MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 668.0ms
ival-sin: 213.0ms (31.9% of total)
ival-cos: 163.0ms (24.4% of total)
ival-mult: 132.0ms (19.7% of total)
ival-div: 54.0ms (8.1% of total)
ival-<=: 43.0ms (6.4% of total)
ival-add: 39.0ms (5.8% of total)
ival-and: 11.0ms (1.6% of total)
...in/eval/compile.rkt:110:19: 9.0ms (1.3% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess80.0ms (0.6%)

Memory
-17.6MiB live, 56.1MiB 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)

explain177.0ms (1.4%)

Memory
11.4MiB live, 210.6MiB 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
90.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-cos: 48.0ms (65.4% of total)
ival-sin: 10.0ms (13.6% of total)
ival-mult: 8.0ms (10.9% of total)
ival-div: 3.0ms (4.1% of total)
ival-add: 2.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.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)

localize37.0ms (0.3%)

Memory
3.0MiB live, 44.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy99.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.7%
(*.f64 e (sin.f64 v))
Samples
24.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (36.2% of total)
ival-cos: 5.0ms (30.2% of total)
ival-mult: 3.0ms (18.1% of total)
ival-div: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-20.8MiB live, 17.8MiB 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
2.0ms
e
@0
(/ (* 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
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))

rewrite392.0ms (3.2%)

Memory
13.4MiB live, 642.2MiB 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))

simplify565.0ms (4.6%)

Memory
-16.7MiB live, 831.8MiB 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)

eval55.0ms (0.4%)

Memory
16.0MiB live, 92.6MiB allocated
Compiler

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

prune57.0ms (0.5%)

Memory
-0.7MiB live, 114.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New45413467
Fresh000
Picked101
Done000
Total45513468
Accuracy
99.9%
Counts
468 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(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))
17.3%
(/.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))))
98.1%
(/.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))
99.7%
(/.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))))))) (-.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))))))
98.5%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
54.9%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
99.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
99.7%
(*.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 1 binary64) (*.f64 e (cos.f64 v))))
54.6%
(*.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)))))))))))
54.4%
(*.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))))))
97.7%
(*.f64 e (sin.f64 v))
Compiler

Compiled 618 to 346 computations (44% saved)

simplify210.0ms (1.7%)

Memory
7.5MiB live, 205.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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))) (*.f64 e (sin.f64 v)))
cost-diff0
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64))
cost-diff12928
(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))
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
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
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
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.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)))))))
cost-diff0
(*.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 1 binary64) (*.f64 e (cos.f64 v))))
Rules
4 388×accelerator-lowering-fma.f32
4 388×accelerator-lowering-fma.f64
2 644×*-lowering-*.f32
2 644×*-lowering-*.f64
1 198×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029237
170237
2177237
3489237
41299237
52079237
63726237
76206237
86655237
97291237
107867237
08010221
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (* e (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)))))))
(* e (sin v))
e
(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)
(+ 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 (cos v))
(cos v)
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* e (sin v))
e
(sin v)
v
(/ 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)
(pow (pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2) 2)
(pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(+ 1 (* e (cos v)))
1
(* e (cos v))
e
(cos v)
v
(* e (sin v))
(sin v)
-1/2
2
Outputs
(* (/ (* e (sin v)) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (- 1 (* e (cos 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 (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(/ (* e (sin v)) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 e (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)))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(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)
(+ 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)))
(-.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 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
e
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
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)
(pow (pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2) 2)
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (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))
e
(cos v)
(cos.f64 v)
v
(* e (sin v))
(*.f64 e (sin.f64 v))
(sin v)
(sin.f64 v)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)

localize122.0ms (1%)

Memory
-9.3MiB live, 189.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 e (sin.f64 v))
accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
accuracy99.5%
(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))
accuracy77.8%
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64))
accuracy100.0%
(cos.f64 v)
accuracy99.9%
(*.f64 e (cos.f64 v))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
accuracy100.0%
(sin.f64 v)
accuracy99.9%
(*.f64 e (sin.f64 v))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(*.f64 e v)
accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
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)))))
accuracy99.9%
(*.f64 e (cos.f64 v))
accuracy99.9%
(*.f64 e (sin.f64 v))
accuracy99.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
Samples
58.0ms202×0valid
16.0ms54×0invalid
Compiler

Compiled 243 to 31 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 17.0ms (30.9% of total)
ival-div: 9.0ms (16.4% of total)
ival-cos: 9.0ms (16.4% of total)
ival-sin: 6.0ms (10.9% of total)
ival-add: 4.0ms (7.3% of total)
ival-pow: 4.0ms (7.3% of total)
ival-pow2: 3.0ms (5.5% of total)
ival-sub: 2.0ms (3.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
23.2MiB live, 60.8MiB allocated
Counts
17 → 360
Calls
Call 1
Inputs
#<alt (* (/ (* e (sin v)) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (- 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<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 (pow (pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2) 2)>
#<alt (pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (cos v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* 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))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -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)))))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<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)))))>
#<alt (* 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)))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* (pow e 2) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))>
#<alt (* e (+ (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))))))))))>
#<alt (* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (* -1 (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (* -1 (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) e)>
#<alt (/ (- (+ (* -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)))) e)>
#<alt (/ (- (+ (* -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))))) e)>
#<alt (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e))>
#<alt (* -1 (/ (+ (/ (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))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))) e))>
#<alt (* -1 (/ (+ (/ (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))) (+ (/ (sin v) (* (pow e 6) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 4))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) e))>
#<alt (/ (* e v) (- 1 (pow e 2)))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (sin v)) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 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 (* 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 (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<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) (* -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 (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 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 (* 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 (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v)))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))>
#<alt (+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 4))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))>
#<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 (sqrt (* e (sin v)))>
#<alt (+ (sqrt (* e (sin v))) (* -1/2 (* (sqrt (* (pow e 3) (sin v))) (cos v))))>
#<alt (+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* 1/2 (* (sqrt (* e (sin v))) (pow (cos v) 2))))))>
#<alt (+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* e (+ (* -1/2 (* (sqrt (/ e (sin v))) (+ (* 1/4 (/ (* (pow (cos v) 2) (sin v)) e)) (* (pow (cos v) 3) (sin v))))) (* 1/2 (* (sqrt (/ (sin v) e)) (pow (cos v) 2))))))))>
#<alt (sqrt (/ (sin v) (cos v)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v)))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v))))) (* -1/2 (* (/ (+ (* 1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v))) (/ (sin v) (pow (cos v) 4))) (pow e 3)) (sqrt (/ (cos v) (sin v))))))))>
#<alt (sqrt (/ (sin v) (cos v)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3)))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) e) (sqrt (/ (cos v) (sin v)))))) e)))>
#<alt (+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (cos v) (sin v))) (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 4))) (* -1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v)))) e) (sqrt (/ (cos v) (sin v)))))) e)) (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3))))) e)))>
#<alt (sqrt (/ (* e v) (+ 1 e)))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* 1/2 (* (sqrt (/ (* (pow v 5) (+ 1 e)) e)) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (* (pow v 3) (+ 1 e)) 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))))))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))))>
#<alt (+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ (pow (+ 1 e) 3) (* (pow e 3) v))) (pow (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) 2))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* 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))))))))))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (pow e 2)>
#<alt (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 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

90 calls:

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

rewrite446.0ms (3.6%)

Memory
3.2MiB live, 629.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 444×accelerator-lowering-fma.f32
4 444×accelerator-lowering-fma.f64
4 240×*-lowering-*.f32
4 240×*-lowering-*.f64
4 030×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029181
1172120
21392120
08484113
Stop Event
iter limit
node limit
Counts
17 → 1 203
Calls
Call 1
Inputs
(* (/ (* e (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)))))))
(* e (sin v))
(sin v)
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(pow (pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2) 2)
(pow (/ (+ 1 (* e (cos v))) (* e (sin v))) -1/2)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(cos v)
Outputs
(+.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(+.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 e (cos.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 e (sin.f64 v)))))
(-.f64 #s(literal 0 binary64) (/.f64 e (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.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 (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 e (sin.f64 v)))) (/.f64 (/.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 e (sin.f64 v)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 e (sin.f64 v)))) (/.f64 (/.f64 (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 e (sin.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 e (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(fma.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (sin.f64 v)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (sin.f64 v)) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) e (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) e (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (*.f64 e (sin.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 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(fma.f64 (/.f64 (*.f64 e (sin.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 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))) (*.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
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(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 e e) (*.f64 e e))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 e e) (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) (*.f64 (*.f64 e e) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 e e)))
(*.f64 (*.f64 (*.f64 e (cos.f64 v)) e) (cos.f64 v))
(*.f64 (*.f64 (*.f64 e (cos.f64 v)) (cos.f64 v)) e)
(*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))
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(*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
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(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (-.f64 #s(literal 0 binary64) (cos.f64 v))) (*.f64 e e))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e))) (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 e e))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))

simplify467.0ms (3.8%)

Memory
-2.5MiB live, 742.0MiB allocated
Algorithm
egg-herbie
Rules
9 946×accelerator-lowering-fma.f32
9 946×accelerator-lowering-fma.f64
6 518×*-lowering-*.f32
6 518×*-lowering-*.f64
4 644×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07016230
121516106
267876084
085275724
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 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)))))))
(- (+ (* -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)))))
(/ (* (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 (/ (+ (* -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))))))
(+ (* -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))))))
(/ (* 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)))))
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(/ (* 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)))))))
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(* e (sin v))
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(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (sin v) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 3))) (* -1 (* (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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(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
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(* 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))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
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(sin v)
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(sin v)
(* e v)
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v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
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))
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(* e v)
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1
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e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
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e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* 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)))
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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))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos 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))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(+ 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))
(* 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)))))
(* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v)))
(+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))
(+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 4))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))
(/ (* 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))))
(sqrt (* e (sin v)))
(+ (sqrt (* e (sin v))) (* -1/2 (* (sqrt (* (pow e 3) (sin v))) (cos v))))
(+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* 1/2 (* (sqrt (* e (sin v))) (pow (cos v) 2))))))
(+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* e (+ (* -1/2 (* (sqrt (/ e (sin v))) (+ (* 1/4 (/ (* (pow (cos v) 2) (sin v)) e)) (* (pow (cos v) 3) (sin v))))) (* 1/2 (* (sqrt (/ (sin v) e)) (pow (cos v) 2))))))))
(sqrt (/ (sin v) (cos v)))
(+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))
(+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v)))))))
(+ (sqrt (/ (sin v) (cos v))) (+ (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (pow e 2)) (sqrt (/ (cos v) (sin v))))) (* -1/2 (* (/ (+ (* 1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v))) (/ (sin v) (pow (cos v) 4))) (pow e 3)) (sqrt (/ (cos v) (sin v))))))))
(sqrt (/ (sin v) (cos v)))
(+ (sqrt (/ (sin v) (cos v))) (* -1/2 (* (/ 1 e) (sqrt (/ (sin v) (pow (cos v) 3))))))
(+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3)))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) e) (sqrt (/ (cos v) (sin v)))))) e)))
(+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (cos v) (sin v))) (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 4))) (* -1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v)))) e) (sqrt (/ (cos v) (sin v)))))) e)) (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3))))) e)))
(sqrt (/ (* e v) (+ 1 e)))
(+ (sqrt (/ (* e v) (+ 1 e))) (* 1/2 (* (sqrt (/ (* (pow v 5) (+ 1 e)) e)) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
(+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (* (pow v 3) (+ 1 e)) 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))))))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))))
(+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ (pow (+ 1 e) 3) (* (pow e 3) v))) (pow (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) 2))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* 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))))))))))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(/ 1 (* e (sin v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) 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)))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 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 (sin.f64 v) (*.f64 e (-.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 (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))))))))))
(* 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 (*.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 (cos.f64 v) (*.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))))))))) (*.f64 e e))))
(/ (* (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 #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 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 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 (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 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 #s(literal 0 binary64) e)) (*.f64 (cos.f64 v) (+.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 (sin.f64 v) (*.f64 e (*.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))))))))
(/ (* (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 (sin.f64 v) (cos.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))
(+ (* -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))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
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(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))) (*.f64 #s(literal -1/120 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/720 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))) (*.f64 #s(literal -1/120 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))) (+.f64 (+.f64 #s(literal -1/240 binary64) (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))))) (+.f64 (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))) e) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/36 binary64)))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal -2/45 binary64))))))))
(+ 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(pow e 2)
(*.f64 e e)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(-.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 v v))))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+.f64 (*.f64 e e) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e (*.f64 e (*.f64 v v)))) (*.f64 e e))))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(+.f64 (*.f64 e e) (*.f64 (*.f64 v v) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 e e) (*.f64 (*.f64 v v) #s(literal -2/45 binary64))) (*.f64 (*.f64 e e) #s(literal 1/3 binary64))))) (*.f64 e e))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 e (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 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 #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 v (*.f64 v (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v 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)

eval230.0ms (1.9%)

Memory
67.3MiB live, 435.3MiB allocated
Compiler

Compiled 57 751 to 3 538 computations (93.9% saved)

prune198.0ms (1.6%)

Memory
-12.9MiB live, 389.0MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 859241 883
Fresh448
Picked325
Done000
Total1 866301 896
Accuracy
100.0%
Counts
1 896 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
76.7%
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
76.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
98.1%
(/.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))
54.9%
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
98.5%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
56.0%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
55.9%
(/.f64 e (/.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))
56.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
54.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
99.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
76.5%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
53.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
2.4%
(-.f64 v (/.f64 v e))
99.7%
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
99.1%
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.4%
(*.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))))))
54.4%
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
53.7%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
54.6%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
53.9%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
53.7%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
53.8%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
97.7%
(*.f64 e (sin.f64 v))
54.1%
(*.f64 e v)
4.7%
v
Compiler

Compiled 1 165 to 679 computations (41.7% saved)

simplify375.0ms (3%)

Memory
-6.6MiB live, 605.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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 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 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))))))
cost-diff256
(+.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)))))
cost-diff0
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
Rules
13 694×accelerator-lowering-fma.f32
13 694×accelerator-lowering-fma.f64
4 298×*-lowering-*.f32
4 298×*-lowering-*.f64
2 712×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039361
1114357
2357345
31318343
43663343
56706343
08309322
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))
(/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4)))
(* e (sin v))
e
(sin v)
v
(- 1 (pow (* e (cos v)) 4))
1
(pow (* e (cos v)) 4)
(* e (cos v))
(cos v)
4
(/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))
(- 1 (* e (cos v)))
(/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))
(+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))
(* e (* e (/ (+ (cos (* v 2)) 1) 2)))
(* e (/ (+ (cos (* v 2)) 1) 2))
(/ (+ (cos (* v 2)) 1) 2)
(+ (cos (* v 2)) 1)
(cos (* v 2))
(* v 2)
2
v
(* e (* v (+ 1 (* (* v v) -1/6))))
e
(* v (+ 1 (* (* v v) -1/6)))
v
(+ 1 (* (* v v) -1/6))
1
(* (* v v) -1/6)
(* v v)
-1/6
(* v (+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
v
(+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))
(/ 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))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(* 1/2 (/ e (+ e 1)))
1/2
-1/6
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
Outputs
(* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))
(/.f64 (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 (*.f64 e e) #s(literal 2 binary64)))) (*.f64 (sin.f64 v) (-.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))))
(/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4)))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(- 1 (pow (* e (cos v)) 4))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(pow (* e (cos v)) 4)
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
4
#s(literal 4 binary64)
(/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 (*.f64 e e) #s(literal 2 binary64)))))
(- 1 (* e (cos v)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 (*.f64 e e) #s(literal 2 binary64)))))
(+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 (*.f64 e e) #s(literal 2 binary64))))
(* e (* e (/ (+ (cos (* v 2)) 1) 2)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 (*.f64 e e) #s(literal 2 binary64)))
(* e (/ (+ (cos (* v 2)) 1) 2))
(/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64))
(/ (+ (cos (* v 2)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) #s(literal 2 binary64))
(+ (cos (* v 2)) 1)
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))
(cos (* v 2))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(* v 2)
(*.f64 v #s(literal 2 binary64))
2
#s(literal 2 binary64)
v
(* e (* v (+ 1 (* (* v v) -1/6))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
e
(* v (+ 1 (* (* v v) -1/6)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
v
(+ 1 (* (* v v) -1/6))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -1/6)
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
-1/6
#s(literal -1/6 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
(*.f64 (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
v
(+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 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)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))) (*.f64 e (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(* v v)
(*.f64 v v)
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (/ e (+ e 1)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/6
#s(literal -1/6 binary64)
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize160.0ms (1.3%)

Memory
16.3MiB live, 205.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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)))
accuracy99.7%
(*.f64 e (sin.f64 v))
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))
accuracy99.9%
(*.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))))))
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)))
accuracy87.3%
(*.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))))
accuracy100.0%
(*.f64 v v)
accuracy99.9%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
accuracy99.6%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
accuracy91.9%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
accuracy99.8%
(*.f64 e (cos.f64 v))
accuracy99.8%
(*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy99.7%
(*.f64 e (sin.f64 v))
accuracy99.6%
(+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
84.0ms256×0valid
Compiler

Compiled 363 to 41 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 20.0ms (32.7% of total)
ival-div: 9.0ms (14.7% of total)
ival-cos: 9.0ms (14.7% of total)
ival-add: 7.0ms (11.5% of total)
ival-sin: 6.0ms (9.8% of total)
...in/eval/compile.rkt:111:19: 4.0ms (6.5% of total)
ival-pow: 3.0ms (4.9% of total)
ival-sub: 2.0ms (3.3% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
-35.4MiB live, 87.1MiB allocated
Counts
21 → 384
Calls
Call 1
Inputs
#<alt (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))>
#<alt (* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))>
#<alt (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4)))>
#<alt (* e (sin v))>
#<alt (* e (* v (+ 1 (* (* v v) -1/6))))>
#<alt (* v (+ 1 (* (* v v) -1/6)))>
#<alt (+ 1 (* (* v v) -1/6))>
#<alt (* (* v v) -1/6)>
#<alt (+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))>
#<alt (/ e (+ e 1))>
#<alt (+ e 1)>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (sin v)>
#<alt (+ (cos (* v 2)) 1)>
#<alt (* e (/ (+ (cos (* v 2)) 1) 2))>
#<alt (* e (cos v))>
#<alt (* v v)>
#<alt (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))>
#<alt (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))>
#<alt (+ (* 1/2 (/ e (+ e 1))) -1/6)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* e (+ (* -1 (cos v)) (* 1/2 (* e (+ 1 (cos (* 2 v))))))))>
#<alt (+ 1 (* e (+ (* -1 (cos v)) (* e (+ (* -1/2 (* e (* (cos v) (+ 1 (cos (* 2 v)))))) (* 1/2 (+ 1 (cos (* 2 v)))))))))>
#<alt (* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))>
#<alt (* (pow e 3) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e))))>
#<alt (* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e)))))>
#<alt (* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (+ (* 1/2 (/ (+ 1 (cos (* 2 v))) e)) (/ 1 (pow e 3))))))>
#<alt (* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))>
#<alt (* -1 (* (pow e 3) (+ (* -1/2 (/ (+ 1 (cos (* 2 v))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))>
#<alt (* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (cos v) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))>
#<alt (* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (- (cos v) (/ 1 e)) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))>
#<alt (* (+ 1 (pow e 2)) (- 1 e))>
#<alt (+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2)))))))>
#<alt (+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (* 1/3 (* (pow e 2) (- 1 e))))))))))>
#<alt (+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (+ (* 1/3 (* (pow e 2) (- 1 e))) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (- 1 e))) (+ (* 1/720 (* e (+ 1 (pow e 2)))) (+ (* 1/24 (pow e 3)) (* 1/6 (pow e 3))))))))))))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* 1/2 (* e (* (sin v) (+ 1 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1/2 (* e (* (cos v) (* (sin v) (+ 1 (cos (* 2 v))))))) (* 1/2 (* (sin v) (+ 1 (cos (* 2 v)))))))))))>
#<alt (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))>
#<alt (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))>
#<alt (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))>
#<alt (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))>
#<alt (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))>
#<alt (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 4)))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 4)))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))>
#<alt (/ (* e (* v (* (+ 1 (pow e 2)) (- 1 e)))) (- 1 (pow e 4)))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* -1/6 (* (+ 1 (pow e 2)) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2))))))) (- 1 (pow e 4))) (* 2 (/ (* (pow e 5) (* (+ 1 (pow e 2)) (- 1 e))) (pow (- 1 (pow e 4)) 2))))) (/ (* e (* (+ 1 (pow e 2)) (- 1 e))) (- 1 (pow e 4)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 (pow e 3)) (+ (* -1/6 (+ (* -1 (* (pow e 2) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2)))))) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (+ (* 1/120 (* (+ 1 (pow e 2)) (- 1 e))) (* 1/3 (* (pow e 2) (- 1 e)))))))) (- 1 (pow e 4))) (+ (* -5/3 (/ (* (pow e 5) (* (+ 1 (pow e 2)) (- 1 e))) (pow (- 1 (pow e 4)) 2))) (* 2 (/ (* (pow e 4) (- (/ (* e (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* -1/6 (* (+ 1 (pow e 2)) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2))))))) (- 1 (pow e 4))) (* 2 (/ (* (pow e 5) (* (+ 1 (pow e 2)) (- 1 e))) (pow (- 1 (pow e 4)) 2))))) (- 1 (pow e 4))))))) (/ (* e (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* -1/6 (* (+ 1 (pow e 2)) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2))))))) (- 1 (pow e 4)))) (* 2 (/ (* (pow e 5) (* (+ 1 (pow e 2)) (- 1 e))) (pow (- 1 (pow e 4)) 2))))) (/ (* e (* (+ 1 (pow e 2)) (- 1 e))) (- 1 (pow e 4)))))>
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#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<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 2>
#<alt (+ 2 (* -2 (pow v 2)))>
#<alt (+ 2 (* (pow v 2) (- (* 2/3 (pow v 2)) 2)))>
#<alt (+ 2 (* (pow v 2) (- (* (pow v 2) (+ 2/3 (* -4/45 (pow v 2)))) 2)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (+ 1 (cos (* 2 v)))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt e>
#<alt (+ e (* -1 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1 e) (* 1/3 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1 e) (* (pow v 2) (+ (* -2/45 (* e (pow v 2))) (* 1/3 e))))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 v)))))>
#<alt (* 1/2 (* e (+ 1 (cos (* 2 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 (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<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 (- (* 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 -1/6>
#<alt (- (* 1/2 e) 1/6)>
#<alt (- (* e (+ 1/2 (* -1/2 e))) 1/6)>
#<alt (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)>
#<alt 1/3>
#<alt (- 1/3 (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))>
#<alt 1/3>
#<alt (- 1/3 (* 1/2 (/ 1 e)))>
#<alt (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))>
#<alt (+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
v
@inf
(/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))
4.0ms
e
@0
(* e (* v (+ 1 (* (* v v) -1/6))))
3.0ms
v
@0
(* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))
3.0ms
v
@0
(/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))
2.0ms
v
@inf
(* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))

rewrite427.0ms (3.4%)

Memory
26.9MiB live, 607.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 514×/-lowering-/.f32
5 514×/-lowering-/.f64
5 192×*-lowering-*.f32
5 192×*-lowering-*.f64
3 118×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039245
1254241
22361237
08985222
Stop Event
iter limit
node limit
Counts
21 → 1 070
Calls
Call 1
Inputs
(/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2))))))
(* (/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4))) (/ (- 1 (* e (cos v))) (/ 1 (+ 1 (* e (* e (/ (+ (cos (* v 2)) 1) 2)))))))
(/ (* e (sin v)) (- 1 (pow (* e (cos v)) 4)))
(* e (sin v))
(* e (* v (+ 1 (* (* v v) -1/6))))
(* v (+ 1 (* (* v v) -1/6)))
(+ 1 (* (* v v) -1/6))
(* (* v v) -1/6)
(+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))
(* v (+ (/ e (+ e 1)) (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
(/ e (+ e 1))
(+ e 1)
(/ (* e (sin v)) (+ e 1))
(sin v)
(+ (cos (* v 2)) 1)
(* e (/ (+ (cos (* v 2)) 1) 2))
(* e (cos v))
(* v v)
(* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (neg.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(+.f64 (*.f64 (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.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 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) (/.f64 (/.f64 (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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) (/.f64 (/.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 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 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 e (cos.f64 v)) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) #s(literal -2 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e (cos.f64 v))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) #s(literal -2 binary64))))
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(*.f64 (+.f64 (*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/4 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))))

simplify549.0ms (4.4%)

Memory
2.6MiB live, 738.9MiB allocated
Algorithm
egg-herbie
Rules
12 452×accelerator-lowering-fma.f32
12 452×accelerator-lowering-fma.f64
7 018×*-lowering-*.f32
7 018×*-lowering-*.f64
5 706×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08377109
127796704
084666277
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* e (+ (* -1 (cos v)) (* 1/2 (* e (+ 1 (cos (* 2 v))))))))
(+ 1 (* e (+ (* -1 (cos v)) (* e (+ (* -1/2 (* e (* (cos v) (+ 1 (cos (* 2 v)))))) (* 1/2 (+ 1 (cos (* 2 v)))))))))
(* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))
(* (pow e 3) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e))))
(* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e)))))
(* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (+ (* 1/2 (/ (+ 1 (cos (* 2 v))) e)) (/ 1 (pow e 3))))))
(* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))
(* -1 (* (pow e 3) (+ (* -1/2 (/ (+ 1 (cos (* 2 v))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (cos v) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (- (cos v) (/ 1 e)) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(* (+ 1 (pow e 2)) (- 1 e))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2)))))))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (* 1/3 (* (pow e 2) (- 1 e))))))))))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (+ (* 1/3 (* (pow e 2) (- 1 e))) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (- 1 e))) (+ (* 1/720 (* e (+ 1 (pow e 2)))) (+ (* 1/24 (pow e 3)) (* 1/6 (pow e 3))))))))))))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* 1/2 (* e (* (sin v) (+ 1 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1/2 (* e (* (cos v) (* (sin v) (+ 1 (cos (* 2 v))))))) (* 1/2 (* (sin v) (+ 1 (cos (* 2 v)))))))))))
(* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 4)))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
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(/ (* e (* v (* (+ 1 (pow e 2)) (- 1 e)))) (- 1 (pow e 4)))
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(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
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(/ (* e (* (sin v) (* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v)))))) (- 1 (* (pow e 4) (pow (cos v) 4))))
(* e (sin v))
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(+ (* -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 (- (* 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)))
-1/6
(- (* 1/2 e) 1/6)
(- (* e (+ 1/2 (* -1/2 e))) 1/6)
(- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)
1/3
(- 1/3 (* 1/2 (/ 1 e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 1/2 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (+ (* -1 (cos v)) (* 1/2 (* e (+ 1 (cos (* 2 v))))))))
(+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 e #s(literal 1/2 binary64))) (cos.f64 v))))
(+ 1 (* e (+ (* -1 (cos v)) (* e (+ (* -1/2 (* e (* (cos v) (+ 1 (cos (* 2 v)))))) (* 1/2 (+ 1 (cos (* 2 v)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (cos.f64 v))))
(* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (*.f64 e e)))))
(* (pow e 3) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e))))
(*.f64 (*.f64 e (*.f64 e e)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (cos.f64 v) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) e)))
(* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (* 1/2 (/ (+ 1 (cos (* 2 v))) e)))))
(*.f64 (*.f64 e (*.f64 e e)) (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (cos.f64 v) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) e)) (/.f64 (cos.f64 v) (*.f64 e e))))
(* (pow e 3) (+ (* -1 (/ (cos v) (pow e 2))) (+ (* -1/2 (* (cos v) (+ 1 (cos (* 2 v))))) (+ (* 1/2 (/ (+ 1 (cos (* 2 v))) e)) (/ 1 (pow e 3))))))
(*.f64 (*.f64 e (*.f64 e e)) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) e) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (cos.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (cos.f64 v) (*.f64 e e))))
(* -1/2 (* (pow e 3) (* (cos v) (+ 1 (cos (* 2 v))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (*.f64 e e)))))
(* -1 (* (pow e 3) (+ (* -1/2 (/ (+ 1 (cos (* 2 v))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) e) (*.f64 (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 #s(literal 0 binary64) e) (*.f64 e e)))
(* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (cos v) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 e (*.f64 e e)) (-.f64 (*.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (/.f64 (cos.f64 v) e)) e))))
(* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (/ (- (cos v) (/ 1 e)) e)) (* 1/2 (+ 1 (cos (* 2 v))))) e)) (* 1/2 (* (cos v) (+ 1 (cos (* 2 v))))))))
(*.f64 (-.f64 (*.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) e)) e)) (*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 e e)))
(* (+ 1 (pow e 2)) (- 1 e))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2)))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 e (*.f64 e (-.f64 #s(literal 1 binary64) e))))))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (* 1/3 (* (pow e 2) (- 1 e))))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 e (*.f64 e (-.f64 #s(literal 1 binary64) e)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal -1/24 binary64))) (+.f64 (*.f64 (*.f64 e e) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/3 binary64))) (*.f64 e (*.f64 e (*.f64 e #s(literal -1/2 binary64))))))))))
(+ (* (+ 1 (pow e 2)) (- 1 e)) (* (pow v 2) (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* 1/2 (* e (+ 1 (pow e 2)))) (* (pow v 2) (+ (* -1/2 (pow e 3)) (+ (* -1/24 (* e (+ 1 (pow e 2)))) (+ (* 1/3 (* (pow e 2) (- 1 e))) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (- 1 e))) (+ (* 1/720 (* e (+ 1 (pow e 2)))) (+ (* 1/24 (pow e 3)) (* 1/6 (pow e 3))))))))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 e (*.f64 e (-.f64 #s(literal 1 binary64) e)))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal -1/24 binary64))) (*.f64 (*.f64 e e) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 1/3 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 e e) (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -2/45 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e #s(literal 1/720 binary64))) (*.f64 e (*.f64 (*.f64 e e) #s(literal 5/24 binary64)))))) (*.f64 e (*.f64 e (*.f64 e #s(literal -1/2 binary64))))))))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* (+ 1 (* 1/2 (* (pow e 2) (+ 1 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(*.f64 (+.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)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (sin.f64 v)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* 1/2 (* e (* (sin v) (+ 1 (cos (* 2 v))))))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 (*.f64 (*.f64 e #s(literal 1/2 binary64)) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (*.f64 (cos.f64 v) (sin.f64 v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1/2 (* e (* (cos v) (* (sin v) (+ 1 (cos (* 2 v))))))) (* 1/2 (* (sin v) (+ 1 (cos (* 2 v)))))))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (+.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (cos.f64 v) (sin.f64 v))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 v) (sin.f64 v))))))
(* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 v) e)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 v) e)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))
(+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (+ (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 v) e)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))
(* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))
(+ (* -1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (* e (pow (cos v) 4)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 v) e)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 4)))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 4 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)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 4)))) e)) (* 1/2 (/ (* (sin v) (+ 1 (cos (* 2 v)))) (pow (cos v) 3))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (*.f64 (sin.f64 v) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 4 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 (pow e 2)) (- 1 e)))) (- 1 (pow e 4)))
(/.f64 (*.f64 e (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 4 binary64))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1 (* (pow e 2) (- 1 e))) (+ (* -1/6 (* (+ 1 (pow e 2)) (- 1 e))) (* 1/2 (* e (+ 1 (pow e 2))))))) (- 1 (pow e 4))) (* 2 (/ (* (pow e 5) (* (+ 1 (pow e 2)) (- 1 e))) (pow (- 1 (pow e 4)) 2))))) (/ (* e (* (+ 1 (pow e 2)) (- 1 e))) (- 1 (pow e 4)))))
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(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(/.f64 (*.f64 e (*.f64 (*.f64 v v) (+.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))
(* -1/6 (* 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 e (*.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))) (* 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 v (*.f64 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 #s(literal -1/2 binary64) (/.f64 (*.f64 v v) 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 #s(literal -1/2 binary64) (/.f64 (*.f64 v v) e)) (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 v v) (*.f64 e e)) (*.f64 v v))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (*.f64 e e)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) e) (/.f64 (*.f64 v (*.f64 v #s(literal -1/2 binary64))) (*.f64 e 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 v v) e)) (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 v v) (*.f64 e e)) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (*.f64 e e)))) (/.f64 (*.f64 v v) (*.f64 e (*.f64 e e)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) e) (/.f64 (*.f64 v (*.f64 v #s(literal -1/2 binary64))) (*.f64 e e))) (*.f64 (/.f64 (*.f64 v v) (*.f64 e (*.f64 e e))) #s(literal 5/6 binary64))))
(* 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 (*.f64 v #s(literal -1/2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/6 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 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -1/2 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -1/2 binary64))) (*.f64 (*.f64 v v) #s(literal -5/6 binary64)))) e) (*.f64 (*.f64 v v) #s(literal 5/6 binary64)))) e)) (*.f64 (*.f64 v v) #s(literal 5/6 binary64))) 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 (/.f64 #s(literal 4/3 binary64) (*.f64 e e)) (+.f64 #s(literal 1/3 binary64) (/.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))
-1/6
#s(literal -1/6 binary64)
(- (* 1/2 e) 1/6)
(+.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/6 binary64))
(- (* e (+ 1/2 (* -1/2 e))) 1/6)
(+.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))
(- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)
(+.f64 (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1/6 binary64))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e))
(- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 e e)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -1/2 binary64) e) (/.f64 #s(literal 1/2 binary64) (*.f64 e (*.f64 e e)))))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e))
(+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e)) e))
(+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) 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))

eval250.0ms (2%)

Memory
24.2MiB live, 438.6MiB allocated
Compiler

Compiled 71 721 to 6 294 computations (91.2% saved)

prune225.0ms (1.8%)

Memory
-10.6MiB live, 470.8MiB allocated
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1 719181 737
Fresh22123
Picked415
Done022
Total1 725421 767
Accuracy
100.0%
Counts
1 767 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
76.7%
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
76.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
98.1%
(/.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))
40.7%
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
24.9%
(/.f64 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
54.9%
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
98.5%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
56.0%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
55.9%
(/.f64 e (/.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))
54.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
99.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
76.5%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
53.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
2.4%
(-.f64 v (/.f64 v e))
98.6%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
54.4%
(*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
53.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
53.7%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
26.0%
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
99.4%
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
99.1%
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
53.7%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
4.5%
(*.f64 v (+.f64 #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))))))
54.6%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
53.7%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
25.3%
(*.f64 e (/.f64 (+.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
53.3%
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
25.7%
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
53.1%
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
53.9%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
53.8%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
24.9%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
97.7%
(*.f64 e (sin.f64 v))
54.1%
(*.f64 e v)
5.9%
(sin.f64 v)
4.7%
v
Compiler

Compiled 1 588 to 887 computations (44.1% saved)

simplify1.8s (14.7%)

Memory
-14.9MiB live, 1 799.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
cost-diff0
(*.f64 v v)
cost-diff0
(*.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))))
cost-diff0
(+.f64 #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)))))
cost-diff0
(*.f64 v (+.f64 #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))))))
cost-diff0
(*.f64 v #s(literal -1/6 binary64))
cost-diff0
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
cost-diff0
(*.f64 e v)
cost-diff0
(cos.f64 v)
cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Rules
66 348×accelerator-lowering-fma.f32
66 348×accelerator-lowering-fma.f64
4 622×*-lowering-*.f32
4 622×*-lowering-*.f64
1 978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027195
169195
2192193
3675191
41734191
52658191
64725191
75532191
85976191
97006191
107622191
117850191
127850191
137852191
147853191
157855191
167855191
177855191
187855191
08316182
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
v
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
1
e
(* e v)
e
v
(* (+ 1 (* v (* v -1/6))) (* e v))
(+ 1 (* v (* v -1/6)))
1
(* v (* v -1/6))
v
(* v -1/6)
-1/6
(* e v)
e
(* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
v
(+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))
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 (+ e 1))
e
(+ e 1)
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(* 1/2 (/ e (+ e 1)))
1/2
-1/6
(* (/ (sin v) (+ 1 e)) e)
(/ (sin v) (+ 1 e))
(sin v)
v
(+ 1 e)
1
e
Outputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(* e v)
(*.f64 v e)
e
v
(* (+ 1 (* v (* v -1/6))) (* e v))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))))
(+ 1 (* v (* v -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* v (* v -1/6))
(*.f64 #s(literal -1/6 binary64) (*.f64 v v))
v
(* v -1/6)
(*.f64 v #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* e v)
(*.f64 v e)
e
(* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))
v
(+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))))
1
#s(literal 1 binary64)
(* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))
(* v v)
(*.f64 v v)
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))))
(/ e (+ e 1))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
(+ (* 1/2 (/ e (+ e 1))) -1/6)
(+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)))
(* 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)
(* (/ (sin v) (+ 1 e)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(sin v)
(sin.f64 v)
v
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e

localize108.0ms (0.9%)

Memory
-2.6MiB live, 188.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))
accuracy99.9%
(*.f64 v (+.f64 #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))))))
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)))
accuracy87.3%
(*.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))))
accuracy100.0%
(*.f64 e v)
accuracy99.8%
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
accuracy99.5%
(*.f64 v #s(literal -1/6 binary64))
accuracy98.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
accuracy100.0%
(*.f64 e v)
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(cos.f64 v)
accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Samples
68.0ms256×0valid
Compiler

Compiled 197 to 29 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 17.0ms (37.1% of total)
ival-add: 7.0ms (15.3% of total)
ival-div: 6.0ms (13.1% of total)
ival-sin: 6.0ms (13.1% of total)
ival-cos: 5.0ms (10.9% of total)
...in/eval/compile.rkt:111:19: 4.0ms (8.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (sin v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (* e v)>
#<alt (* (+ 1 (* v (* v -1/6))) (* e v))>
#<alt (+ 1 (* v (* v -1/6)))>
#<alt (* v (* v -1/6))>
#<alt (* v -1/6)>
#<alt (* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))>
#<alt (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))))>
#<alt (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))>
#<alt (* v v)>
#<alt (* (/ (sin v) (+ 1 e)) e)>
#<alt (/ (sin v) (+ 1 e))>
#<alt (+ 1 e)>
#<alt (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))>
#<alt (+ (* 1/2 (/ e (+ e 1))) -1/6)>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<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)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos 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 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<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)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt v>
#<alt (* v (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))>
#<alt (* v (+ 1 (/ (* 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) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 3) (+ (/ 1 (pow v 2)) (/ (* 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 (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))>
#<alt v>
#<alt (+ v (* -1/6 (* e (pow v 3))))>
#<alt (+ v (* e (+ (* -1/6 (pow v 3)) (* e (* v (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))))>
#<alt (+ v (* e (+ (* -1/6 (pow v 3)) (* e (+ (* e (* v (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (* -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)) (* 1/3 (pow v 2)))) e))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (* 1/3 (pow v 2)))) e) (/ (* v (- (+ (* 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)) (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (* 1/3 (pow v 2)))) e) (/ (* v (- (+ (* 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 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e)))>
#<alt (+ 1 (/ (* 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) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* 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) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt (* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* e (pow v 2))))>
#<alt (+ 1 (* e (+ (* -1/6 (pow v 2)) (* e (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2)))))))>
#<alt (+ 1 (* 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 (+ 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)))>
#<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))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) 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)))))))) (+ (* -1/2 (/ (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 (* 1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1 (/ (- (* 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)) (* -1/3 (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 (/ (- (* 1/2 (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 (* (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 (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (pow v 2) (+ 1 e))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) (+ 1 e))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) (+ 1 e))) (* 1/120 (/ 1 (+ 1 e))))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (/ (sin v) (+ 1 e))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (sin v))))>
#<alt (+ (sin v) (* e (- (* e (sin v)) (sin v))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v))))>
#<alt (/ (sin v) e)>
#<alt (/ (+ (sin v) (* -1 (/ (sin v) e))) e)>
#<alt (/ (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e)) e)>
#<alt (/ (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e))) e)>
#<alt (/ (sin v) e)>
#<alt (* -1 (/ (+ (* -1 (sin v)) (/ (sin v) e)) e))>
#<alt (* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (/ (sin v) e) (sin v)) e))) e))>
#<alt (* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (* -1 (/ (- (/ (sin v) e) (sin v)) e)) (sin v)) 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 (* -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 -1/6>
#<alt (- (* 1/2 e) 1/6)>
#<alt (- (* e (+ 1/2 (* -1/2 e))) 1/6)>
#<alt (- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)>
#<alt 1/3>
#<alt (- 1/3 (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))>
#<alt 1/3>
#<alt (- 1/3 (* 1/2 (/ 1 e)))>
#<alt (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))>
#<alt (+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))>
Calls

81 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/ (sin v) (+ (cos v) (/ 1 e)))
1.0ms
v
@inf
(/ (sin v) (+ (cos v) (/ 1 e)))
1.0ms
v
@-inf
(/ (sin v) (+ (cos v) (/ 1 e)))
0.0ms
e
@inf
(* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
0.0ms
e
@-inf
(* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))

rewrite505.0ms (4.1%)

Memory
15.6MiB live, 726.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 742×/-lowering-/.f32
4 742×/-lowering-/.f64
4 740×accelerator-lowering-fma.f32
4 740×accelerator-lowering-fma.f64
4 184×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027155
1168155
21448153
08407144
Stop Event
iter limit
node limit
Counts
18 → 825
Calls
Call 1
Inputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(+ (cos v) (/ 1 e))
(cos v)
(* e v)
(* (+ 1 (* v (* v -1/6))) (* e v))
(+ 1 (* v (* v -1/6)))
(* v (* v -1/6))
(* v -1/6)
(* v (+ 1 (* (* v v) (* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6)))))
(+ 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)))
(* v v)
(* (/ (sin v) (+ 1 e)) e)
(/ (sin v) (+ 1 e))
(+ 1 e)
(* (/ e (+ e 1)) (+ (* 1/2 (/ e (+ e 1))) -1/6))
(+ (* 1/2 (/ e (+ e 1))) -1/6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(sin.f64 v)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (/.f64 (+.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) e) (cos.f64 v))))
(fma.f64 (cos.f64 v) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(fma.f64 (+.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 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/36 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 e #s(literal 1/2 binary64))) (*.f64 (*.f64 e #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))

simplify779.0ms (6.3%)

Memory
2.3MiB live, 880.8MiB allocated
Algorithm
egg-herbie
Rules
11 680×accelerator-lowering-fma.f32
11 680×accelerator-lowering-fma.f64
5 604×*-lowering-*.f32
5 604×*-lowering-*.f64
4 596×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05103966
116153646
245453593
086003381
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* 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)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos 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))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 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) (/ 1 e))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
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)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
v
(* v (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))
(* v (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))
(* v (+ 1 (/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))))
(/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(* (pow v 3) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
(* (pow v 3) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
(* (pow v 3) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
(/ (* e (* (pow v 3) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
(* -1 (* (pow v 3) (- (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))) (/ 1 (pow v 2)))))
v
(+ v (* -1/6 (* e (pow v 3))))
(+ v (* e (+ (* -1/6 (pow v 3)) (* e (* v (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2))))))))
(+ v (* e (+ (* -1/6 (pow v 3)) (* e (+ (* e (* v (- (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (* -1/6 (pow v 2)))))))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (* 1/3 (pow v 2)))) e))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (* 1/3 (pow v 2)))) e) (/ (* v (- (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2))) (* -1/2 (pow v 2)))) (pow e 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (* 1/3 (pow v 2)))) e) (/ (* v (- (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2))) (* -1/2 (pow v 2)))) (pow e 2)))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* -1 (/ (* v (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
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(/ (* e (* (pow v 2) (- (* 1/2 (/ e (+ 1 e))) 1/6))) (+ 1 e))
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(* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
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(* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
(* (pow v 2) (+ (/ 1 (pow v 2)) (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))
1
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(- (+ 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))))))) (+ (* -1/2 (/ (pow v 2) (pow e 2))) (* 1/3 (/ (pow v 2) e))))
(- (+ 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)))))))) (+ (* -1/2 (/ (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)))))))
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(+ 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))))
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(* 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))
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(- (+ (* -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))
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(+ (* -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)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
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(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ v (+ 1 e))
(* v (+ (* -1/6 (/ (pow v 2) (+ 1 e))) (/ 1 (+ 1 e))))
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(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(/ (sin v) (+ 1 e))
(sin v)
(+ (sin v) (* -1 (* e (sin v))))
(+ (sin v) (* e (- (* e (sin v)) (sin v))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v))))
(/ (sin v) e)
(/ (+ (sin v) (* -1 (/ (sin v) e))) e)
(/ (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e)) e)
(/ (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e))) e)
(/ (sin v) e)
(* -1 (/ (+ (* -1 (sin v)) (/ (sin v) e)) e))
(* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (/ (sin v) e) (sin v)) e))) e))
(* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (* -1 (/ (- (/ (sin v) e) (sin v)) e)) (sin v)) e))) e))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* -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)))
-1/6
(- (* 1/2 e) 1/6)
(- (* e (+ 1/2 (* -1/2 e))) 1/6)
(- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)
1/3
(- 1/3 (* 1/2 (/ 1 e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 1/2 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(* e (sin v))
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(* 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))
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
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(- (+ (* -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)))))
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(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
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(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (+.f64 e #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)))) (sin.f64 v)))))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e) (sin.f64 v)) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(* v (+ (* -1/6 (/ (pow v 2) (+ 1 e))) (/ 1 (+ 1 e))))
(*.f64 v (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (/.f64 v (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) (+ 1 e))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v (/.f64 v (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) (+ 1 e))) (* 1/120 (/ 1 (+ 1 e))))) (* 1/6 (/ 1 (+ 1 e))))) (/ 1 (+ 1 e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 v (/.f64 v (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(/ (sin v) (+ 1 e))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (sin v))))
(*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)))
(+ (sin v) (* e (- (* e (sin v)) (sin v))))
(+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (+.f64 e #s(literal -1 binary64)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v))))
(+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)))) (sin.f64 v))))
(/ (sin v) e)
(/.f64 (sin.f64 v) e)
(/ (+ (sin v) (* -1 (/ (sin v) e))) e)
(/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e)
(/ (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e)) e)
(/.f64 (+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e)) e)
(/ (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e))) e)
(/.f64 (+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e)) e)
(/ (sin v) e)
(/.f64 (sin.f64 v) e)
(* -1 (/ (+ (* -1 (sin v)) (/ (sin v) e)) e))
(/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e)
(* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (/ (sin v) e) (sin v)) e))) e))
(/.f64 (+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)) e)) e)
(* -1 (/ (+ (* -1 (sin v)) (* -1 (/ (- (* -1 (/ (- (/ (sin v) e) (sin v)) e)) (sin v)) e))) e))
(/.f64 (+.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e) (sin.f64 v)) e)) e)
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* e (- (* 2/3 e) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e #s(literal -7/6 binary64))))))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 2/3 binary64) (*.f64 e (+.f64 #s(literal -7/6 binary64) (*.f64 e #s(literal 5/3 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))
-1/6
#s(literal -1/6 binary64)
(- (* 1/2 e) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/2 binary64)))
(- (* e (+ 1/2 (* -1/2 e))) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64)))))
(- (* e (+ 1/2 (* e (- (* 1/2 e) 1/2)))) 1/6)
(+.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
#s(literal 1/3 binary64)
(- 1/3 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e))
(- (+ 1/3 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 e e)) (/.f64 #s(literal -1/2 binary64) e)))
(- (+ 1/3 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 e e))) (+.f64 (/.f64 #s(literal -1/2 binary64) e) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 e e)) e)))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) e))
(+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e)) e))
(+ 1/3 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) 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))

eval224.0ms (1.8%)

Memory
0.0MiB live, 382.6MiB allocated
Compiler

Compiled 36 506 to 4 034 computations (88.9% saved)

prune182.0ms (1.5%)

Memory
-39.1MiB live, 475.0MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New1 181141 195
Fresh72734
Picked235
Done033
Total1 190471 237
Accuracy
100.0%
Counts
1 237 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
76.9%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
14.2%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
24.9%
(/.f64 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
54.9%
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
53.7%
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
98.5%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
99.3%
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
67.1%
(/.f64 (sin.f64 v) (/.f64 (+.f64 (+.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) e) e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
97.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
54.0%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
56.0%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
55.9%
(/.f64 e (/.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))
54.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
99.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
76.5%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
53.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
2.4%
(-.f64 v (/.f64 v e))
4.5%
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
4.2%
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
62.4%
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
98.6%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
53.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
53.7%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
24.9%
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
26.0%
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
99.1%
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
53.7%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
54.6%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
24.9%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
25.3%
(*.f64 e (/.f64 (+.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
53.3%
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
25.7%
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
53.1%
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
53.9%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
53.8%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
24.9%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
97.7%
(*.f64 e (sin.f64 v))
54.1%
(*.f64 e v)
5.9%
(sin.f64 v)
4.7%
v
Compiler

Compiled 2 201 to 796 computations (63.8% saved)

regimes69.0ms (0.6%)

Memory
19.6MiB live, 134.0MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (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))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (+.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) e) e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(*.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 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
(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))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 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))))
(/.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))))))) (-.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))))))
Outputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
Calls

3 calls:

20.0ms
v
20.0ms
e
18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%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)

regimes70.0ms (0.6%)

Memory
10.2MiB live, 125.7MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (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))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (+.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) e) e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(*.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 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
(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))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(*.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 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

22.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
v
19.0ms
e
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%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)

regimes70.0ms (0.6%)

Memory
-3.7MiB live, 117.7MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (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))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.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) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (+.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) e) e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

27.0ms
v
18.0ms
e
17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%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)

regimes40.0ms (0.3%)

Memory
0.7MiB live, 77.1MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.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:

16.0ms
v
15.0ms
e
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory
22.7MiB live, 95.2MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
Calls

2 calls:

21.0ms
v
17.0ms
e
Results
AccuracySegmentsBranch
98.6%1e
98.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
-5.4MiB live, 72.5MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

13.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
97.7%1e
97.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory
-6.9MiB live, 74.4MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
Calls

2 calls:

20.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
56.1%1e
56.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory
-13.7MiB live, 65.0MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1/6 binary64)) (*.f64 e #s(literal 1/2 binary64))) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (-.f64 #s(literal 1 binary64) 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)))))
(*.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 (*.f64 (*.f64 (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e))) v) (/.f64 (-.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))) (+.f64 #s(literal 1 binary64) e)))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
Calls

2 calls:

12.0ms
v
11.0ms
e
Results
AccuracySegmentsBranch
56.0%1e
56.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
11.0MiB live, 52.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
(/.f64 e (/.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 (*.f64 (*.f64 e (*.f64 v (*.f64 v v))) (+.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))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(*.f64 e (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 v (+.f64 #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 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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))) v)
(*.f64 e (*.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e))) (*.f64 (*.f64 v e) (*.f64 v e))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 v e)) (*.f64 v e)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))))
Outputs
(/.f64 e (/.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))
Calls

2 calls:

11.0ms
v
10.0ms
e
Results
AccuracySegmentsBranch
55.9%1v
55.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
1.6MiB live, 40.9MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (/.f64 e (*.f64 v v))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(+.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))))))
Outputs
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
Calls

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-6.9MiB live, 32.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) 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 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))) e)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v) e)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (*.f64 e v))
(+.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

7.0ms
e
6.0ms
v
Results
AccuracySegmentsBranch
54.9%1e
54.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
Outputs
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
Calls

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
54.7%1e
54.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
54.6%1e
54.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-26.2MiB live, 13.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
Outputs
(*.f64 e v)
Calls

2 calls:

3.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
54.1%1e
54.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB 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
4.7%1e
4.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify137.0ms (1.1%)

Memory
-5.1MiB live, 87.5MiB allocated
Algorithm
egg-herbie
Rules
1 230×unsub-neg_binary64
970×distribute-lft-neg-in_binary64
732×neg-mul-1_binary64
456×neg-sub0_binary64
386×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102298
1182298
2231298
3286298
4345298
5383298
6422298
7464298
8559298
9959298
101658298
112313298
122644298
132964298
143175298
153357298
163462298
173527298
183562298
193573298
203574298
213574298
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 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 1 binary64) (*.f64 e (cos.f64 v))))
(/.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 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (sin.f64 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 (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (+.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 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v
Outputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (/.f64 (+.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) #s(literal 2 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 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (-.f64 #s(literal 1 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 v #s(literal 2 binary64)))))))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 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 (*.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 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.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 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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)))))))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.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 (*.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 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal -1/6 binary64)) #s(literal 1/6 binary64)) (*.f64 e #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal -1/120 binary64) (+.f64 e #s(literal 1 binary64)))) (*.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 (*.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 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal -1/6 binary64)) #s(literal 1/6 binary64)) (*.f64 e #s(literal -1/2 binary64)))) (-.f64 (*.f64 #s(literal -1/120 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal 1/24 binary64)))))))) v))
(/.f64 e (/.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 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v

soundness1.1s (9.2%)

Memory
11.2MiB live, 996.4MiB allocated
Rules
17 764×accelerator-lowering-fma.f32
17 764×accelerator-lowering-fma.f64
9 946×accelerator-lowering-fma.f32
9 946×accelerator-lowering-fma.f64
6 518×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039245
1254241
22361237
08985222
07016230
121516106
267876084
085275724
029181
1172120
21392120
08484113
0929
13629
223529
3209529
0837527
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
Compiler

Compiled 454 to 215 computations (52.6% saved)

preprocess246.0ms (2%)

Memory
-11.4MiB live, 182.3MiB allocated
Remove

(negabs v)

Compiler

Compiled 1 172 to 568 computations (51.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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