Trigonometry A

Time bar (total: 10.2s)

analyze9.0ms (0.1%)

Algorithm
1×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 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 1.0ms (23.5% of total)
ival-<=: 1.0ms (23.5% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (11.6%)

Results
941.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 723.0ms
ival-sin: 195.0ms (27% of total)
ival-cos: 169.0ms (23.4% of total)
ival-mult: 151.0ms (20.9% of total)
ival-<=: 75.0ms (10.4% of total)
ival-div: 56.0ms (7.7% of total)
ival-add: 55.0ms (7.6% of total)
ival-and: 10.0ms (1.4% of total)
const: 10.0ms (1.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess112.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
2078×fnmadd-define
1544×fma-define
1136×fmsub-define
1126×fnmsub-define
1014×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02972
17262
216761
343260
4121460
5244660
6368660
7408060
8451160
9533260
10586360
11627560
12647460
13654960
14656560
0911
11610
22110
32210
02210
Stop Event
1×iter limit
1×saturated
1×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)) (fmsub e (cos v) -1))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(* (sin v) (/ e (fmsub e (cos v) 1)))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(/ (* e (sin v)) (fnmsub e (cos v) 1))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(* (sin v) (/ e (fnmsub e (cos v) -1)))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* e (sin v)) (fmsub e (cos v) -1))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
(/ (* v (sin e)) (fmsub v (cos e) -1))
Symmetry

(negabs v)

explain101.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 v)
00-0-(+.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 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-(*.f64 e (cos.f64 v))
00-0-e
00-0-#s(literal 1 binary64)
Results
68.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 14.0ms (31.1% of total)
ival-cos: 13.0ms (28.9% of total)
ival-mult: 8.0ms (17.8% of total)
ival-div: 6.0ms (13.3% of total)
ival-add: 3.0ms (6.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.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)

simplify10.0ms (0.1%)

Algorithm
1×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
8×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
11630
22130
32230
02230
Stop Event
1×iter limit
1×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)

localize42.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Results
30.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 6.0ms (32.4% of total)
ival-cos: 5.0ms (27% of total)
ival-mult: 4.0ms (21.6% of total)
ival-div: 2.0ms (10.8% of total)
ival-add: 2.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

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
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))
1.0ms
e
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite296.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3370×*-lowering-*.f32
3370×*-lowering-*.f64
2926×/-lowering-/.f32
2926×/-lowering-/.f64
1952×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
13627
224927
3240627
0893627
Stop Event
1×iter limit
1×node limit
Counts
6 → 293
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 e (*.f64 (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 e (*.f64 (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 (cos.f64 v) (-.f64 #s(literal 0 binary64) e))))
(+.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 e (*.f64 (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 e (*.f64 (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 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.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)))))
(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 e (*.f64 (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))))))
(fma.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 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.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)))))))))
(fma.f64 (*.f64 e (*.f64 (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))))))
(fma.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 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (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)))
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(*.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 e (*.f64 (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 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify221.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3940×*-lowering-*.f32
3940×*-lowering-*.f64
1806×+-lowering-+.f64
1806×+-lowering-+.f32
1756×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01951175
16301113
220141086
365671086
081401086
Stop Event
1×iter limit
1×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 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.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 e (*.f64 (neg.f64 (*.f64 e (sin.f64 v))) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/720 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 e (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.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 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v 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 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 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 (+.f64 e #s(literal 1 binary64)) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 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 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 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)

eval66.0ms (0.6%)

Compiler

Compiled 10326 to 1049 computations (89.8% saved)

prune45.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4058413
Fresh000
Picked101
Done000
Total4068414
Accuracy
99.9%
Counts
414 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.4%
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶50.6%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
▶99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
▶99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
50.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
▶50.2%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
99.0%
(*.f64 e (sin.f64 v))
Compiler

Compiled 394 to 202 computations (48.7% saved)

simplify198.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓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-diff64
(pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (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-diff1024
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
✓cost-diff1024
(*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
✓cost-diff1024
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
✓cost-diff1024
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff128
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Rules
4496×*-lowering-*.f32
4496×*-lowering-*.f64
3550×+-lowering-+.f64
3550×+-lowering-+.f32
1824×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047790
1131764
2424681
31777671
45151671
08085671
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
v
(/ 1 (+ (cos v) (/ 1 e)))
1
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
e
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(* v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/ 1/2 (+ e 1))
1/2
(/ (* e e) (+ e 1))
(* e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))))
(- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))
(/ 1/120 (+ e 1))
1/120
(* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))
-1/2
(/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(* -1/24 (* e e))
-1/24
(* (+ e 1) (+ e 1))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(/ 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)
1/2
2
Outputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(+ (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)
e
(/ (* e v) (+ e 1))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(* e v)
(*.f64 v e)
e
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 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
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))
(/ (* e -1/6) (+ e 1))
(/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(/ 1/2 (+ e 1))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))
1/2
#s(literal 1/2 binary64)
(/ (* e e) (+ e 1))
(/.f64 (*.f64 e e) (+.f64 #s(literal 1 binary64) e))
(* e e)
(*.f64 e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))))) (/.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))))
(+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))))) (/.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))))
(* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))))
(*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))))))
(- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)))))))
(/ 1/120 (+ e 1))
(/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))
1/120
#s(literal 1/120 binary64)
(* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))
(*.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e)))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(* -1/24 (* e e))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(sqrt.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize249.0ms (2.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓accuracy99.6%
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy76.9%
(pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓accuracy99.9%
(*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))))))
✓accuracy99.8%
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
✓accuracy99.6%
(*.f64 e #s(literal -1/6 binary64))
✓accuracy94.4%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
✓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)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
105.0ms189×0valid
36.0ms67×0invalid
Compiler

Compiled 814 to 48 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 22.0ms (26.5% of total)
ival-div: 20.0ms (24.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (13.3% of total)
ival-add: 8.0ms (9.6% of total)
ival-pow: 8.0ms (9.6% of total)
ival-sin: 7.0ms (8.4% of total)
ival-cos: 5.0ms (6% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series62.0ms (0.6%)

Counts
22 → 456
Calls
Call 1
Inputs
#<alt (* (sin v) (/ 1 (+ (cos v) (/ 1 e))))>
#<alt (sin v)>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))>
#<alt (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ 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 (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)>
#<alt (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)>
#<alt (cos v)>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
#<alt (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))))>
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 (/ 1 e)))>
#<alt (+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))>
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#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))>
#<alt (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* 1/120 e)>
#<alt (* e (+ 1/120 (* -11/120 e)))>
#<alt (* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))>
#<alt (* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))>
#<alt (+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))>
Calls

114 calls:

TimeVariablePointExpression
10.0ms
v
@0
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
5.0ms
v
@0
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
3.0ms
e
@0
(+ (cos v) (/ 1 e))
2.0ms
v
@0
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
2.0ms
e
@-inf
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))

rewrite360.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3848×*-lowering-*.f32
3848×*-lowering-*.f64
2508×fma-lowering-fma.f32
2508×fma-lowering-fma.f64
1650×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047472
1317401
23461401
08123401
Stop Event
1×iter limit
1×node limit
Counts
22 → 477
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
(/ 1 (+ (cos v) (/ 1 e)))
(+ (cos v) (/ 1 e))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(cos v)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1))))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
(* e (- (/ 1/120 (+ e 1)) (* -1/2 (/ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (+ e 1)))))
Outputs
(/.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 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(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 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (pow.f64 (/.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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))) #s(literal -1 binary64)))
(*.f64 (/.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.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 #s(literal 1 binary64) (*.f64 e e)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(+.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))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (cos.f64 v) (/.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) (-.f64 #s(literal 0 binary64) e)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (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 (+.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) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.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 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (-.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 e e)))))
(/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(/.f64 (+.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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 (+.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 binary64) (*.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 (cos.f64 v) e))))
(/.f64 (+.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 (+.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) (-.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 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (-.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 e e))) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (neg.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) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))))
(/.f64 (neg.f64 (-.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 e e)))) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.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) e) (cos.f64 v)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(pow.f64 (/.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) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (-.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 e e)))) #s(literal -1 binary64))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(*.f64 (+.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 (+.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) (-.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 #s(literal 1 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
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(/.f64 (*.f64 e (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1/14400 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) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))) e) (+.f64 (/.f64 #s(literal 1/14400 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) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))))
(*.f64 e (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e)) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e)) e)

simplify749.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
5996×+-lowering-+.f64
5996×+-lowering-+.f32
4266×*-lowering-*.f32
4266×*-lowering-*.f64
1080×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09259836
131819592
082359592
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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 (/ 1 e)))
(+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (+ 1 (/ 1 e)))) (* 1/48 (/ 1 (pow (+ 1 (/ 1 e)) 3))))))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
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(+ (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))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ 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))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* 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)
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)))
(/ (* 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))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))) (/ e (+ 1 e))))
(* (pow v 5) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 5) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 5) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (+ (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))) (/ e (* (pow v 4) (+ 1 e))))))))
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(* (pow v 5) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* -1 (* (pow v 5) (+ (* -1 (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))) (* -1 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))) (+ (* -1 (/ e (* (pow v 4) (+ 1 e)))) (* -1 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))) (+ (* -1 (/ e (* (pow v 4) (+ 1 e)))) (* -1 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (pow v 2)))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ (* e (+ (* e (* v (+ 1 (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6))))) (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ (* e (+ (* e (+ (* e (* v (- (* (pow v 2) (+ 5/3 (* -17/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6)))))) (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))
(+ (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))) (/ (* v (- (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) 1)) e))
(+ (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))) (+ (/ (* v (+ 1 (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))))) (pow e 2)) (/ (* v (- (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) 1)) e)))
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(* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))
(+ (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2)))))) e)) (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))))
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e
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(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(* -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))))
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(/ (* 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))))
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(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)))))))
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(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)))
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(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
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(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
(+ 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)
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
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(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* 1/120 (* e (pow v 2)))
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(* 2/15 (pow v 2))
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(* 2/15 (pow v 2))
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(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
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(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
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(* -1/6 e)
(* -1/6 e)
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(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
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(* e (+ 1/120 (* -11/120 e)))
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(* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
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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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(/ (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)))
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(* e (sin v))
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(cos.f64 v)
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(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))))
(* 1/120 (* e (pow v 2)))
(*.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)))
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))
(*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -2/15 binary64) e))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -2/15 binary64) (*.f64 #s(literal 61/120 binary64) e))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -2/15 binary64)) (*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal 61/120 binary64) (*.f64 #s(literal -17/15 binary64) e))))))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)))
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e))))
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 #s(literal -61/120 binary64) (/.f64 (*.f64 v v) e)))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (*.f64 #s(literal -17/15 binary64) (/.f64 (*.f64 v v) e))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* 1/120 e)
(*.f64 e #s(literal 1/120 binary64))
(* e (+ 1/120 (* -11/120 e)))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -11/120 binary64))))
(* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 17/40 binary64)) #s(literal -11/120 binary64)))))
(* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 17/40 binary64) (*.f64 e #s(literal -121/120 binary64)))) #s(literal -11/120 binary64)))))
7/40
#s(literal 7/40 binary64)
(- 7/40 (* 71/120 (/ 1 e)))
(+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal -71/120 binary64) e))
(- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))
(+.f64 (/.f64 #s(literal 151/120 binary64) (*.f64 e e)) (+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal -71/120 binary64) e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))
(-.f64 (+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal 151/120 binary64) (*.f64 e e))) (+.f64 (/.f64 #s(literal 71/120 binary64) e) (/.f64 #s(literal 87/40 binary64) (*.f64 e (*.f64 e e)))))
7/40
#s(literal 7/40 binary64)
(- 7/40 (* 71/120 (/ 1 e)))
(+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal -71/120 binary64) e))
(+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))
(-.f64 #s(literal 7/40 binary64) (/.f64 (+.f64 #s(literal 71/120 binary64) (/.f64 #s(literal -151/120 binary64) e)) e))
(+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))
(-.f64 #s(literal 7/40 binary64) (/.f64 (-.f64 #s(literal 71/120 binary64) (/.f64 (+.f64 #s(literal 151/120 binary64) (/.f64 #s(literal -87/40 binary64) e)) e)) e))

eval252.0ms (2.5%)

Compiler

Compiled 88445 to 5051 computations (94.3% saved)

prune203.0ms (2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1559231582
Fresh213
Picked505
Done000
Total1566241590
Accuracy
100.0%
Counts
1590 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
72.8%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
▶99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
50.5%
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
50.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
51.9%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
▶52.0%
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
50.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
98.8%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
▶49.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
2.4%
(-.f64 v (/.f64 v e))
73.3%
(*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))))
▶60.0%
(*.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
25.0%
(*.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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
98.8%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
99.4%
(*.f64 (sin.f64 v) (*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))))
99.0%
(*.f64 (sin.f64 v) e)
50.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
50.2%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
49.7%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
50.1%
(*.f64 v e)
▶4.2%
v
Compiler

Compiled 1036 to 564 computations (45.6% saved)

simplify286.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.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 e e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.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 #s(literal 1 binary64) (*.f64 e e))))
✓cost-diff0
(*.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff2560
(+.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))
✓cost-diff2560
(+.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))
✓cost-diff2560
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v)
✓cost-diff2560
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Rules
3730×+-lowering-+.f64
3730×+-lowering-+.f32
2820×*-lowering-*.f32
2820×*-lowering-*.f64
2206×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0611146
11921038
2806808
33588731
08363731
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
v
(+ (/ 1 e) (cos v))
(/ 1 e)
1
e
(cos v)
v
(/ 1 (/ (/ (+ 1 e) e) v))
1
(/ (/ (+ 1 e) e) v)
(/ (+ 1 e) e)
(+ 1 e)
e
v
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
e
(/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v)
(+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))))
(+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))
1
(* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))
(* v v)
v
(+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))
(* e -1/2)
-1/2
(+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))
(* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120))))))
(+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))
(* e 1/24)
1/24
(- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120))))
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(* e -1/720)
-1/720
(+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
-1/6
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(+ 1/120 (* e 1/120))
1/120
(* e 1/120)
(* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(* 1/6 (+ 1 e))
1/6
(+ 1 e)
(+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+ -1/5040 (* -1/5040 e))
-1/5040
(* -1/5040 e)
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))
(* (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))) (- (cos v) (/ 1 e)))
(/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))))
(sin v)
v
(- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
1/2
(* 1/2 (cos (* 2 v)))
(cos (* 2 v))
(* 2 v)
2
(/ 1 (* e e))
1
(* e e)
e
(- (cos v) (/ 1 e))
(cos v)
(/ 1 e)
Outputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (/ 1 e) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(cos v)
(cos.f64 v)
v
(/ 1 (/ (/ (+ 1 e) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
1
#s(literal 1 binary64)
(/ (/ (+ 1 e) e) v)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
(/ (+ 1 e) e)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
v
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))))))))
e
(/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))))))) v)
(+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))))
(+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64)))))))))))
(+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))))))
1
#s(literal 1 binary64)
(* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64)))))))))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))))
(* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64)))))))
(+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))
(+.f64 (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))))
(* e 1/24)
(*.f64 e #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120))))
(+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))) (+.f64 (*.f64 e #s(literal -1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))))
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64)))))
(- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))) (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))))
(* e -1/720)
(*.f64 e #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal -1/30 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) #s(literal -7/360 binary64))))
(* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64))))
-1/6
#s(literal -1/6 binary64)
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 7/360 binary64)))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(-.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal -1/30 binary64)))
(+ 1/120 (* e 1/120))
(+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(* e 1/120)
(*.f64 e #s(literal 1/120 binary64))
(* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal 1/18 binary64)))
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* 1/6 (+ 1 e))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/840 binary64)))
(+ -1/5040 (* -1/5040 e))
(+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* -1/5040 e)
(*.f64 e #s(literal -1/5040 binary64))
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+.f64 #s(literal 1/720 binary64) (*.f64 e #s(literal -1/360 binary64)))
(+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))
(+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -7/360 binary64)))
(* (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))) (- (cos v) (/ 1 e)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e))))
(/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))))
(/.f64 (sin.f64 v) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e))))
(sin v)
(sin.f64 v)
v
(- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) 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 e))
(/.f64 (/.f64 #s(literal 1 binary64) e) e)
1
#s(literal 1 binary64)
(* e e)
(*.f64 e e)
e
(- (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)

localize320.0ms (3.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(cos.f64 (*.f64 #s(literal 2 binary64) v))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
✓accuracy98.6%
(/.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 #s(literal 1 binary64) (*.f64 e e))))
✓accuracy62.1%
(*.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓accuracy99.5%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy98.8%
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v)
✓accuracy98.8%
(*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))))
✓accuracy98.5%
(*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Results
175.0ms256×0valid
Compiler

Compiled 1301 to 62 computations (95.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 27.0ms (24.9% of total)
...c/correct-round.rkt:119:19: 21.0ms (19.4% of total)
ival-add: 20.0ms (18.5% of total)
ival-div: 15.0ms (13.9% of total)
ival-cos: 11.0ms (10.2% of total)
ival-sin: 8.0ms (7.4% of total)
ival-sub: 7.0ms (6.5% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.6%)

Counts
21 → 396
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (/ 1 e) (cos v)))>
#<alt (sin v)>
#<alt (+ (/ 1 e) (cos v))>
#<alt (/ 1 e)>
#<alt (/ 1 (/ (/ (+ 1 e) e) v))>
#<alt (/ (/ (+ 1 e) e) v)>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 e)>
#<alt (/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))>
#<alt (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v)>
#<alt (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))))>
#<alt (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))>
#<alt (* (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))) (- (cos v) (/ 1 e)))>
#<alt (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))>
#<alt (cos v)>
#<alt (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))>
#<alt (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))>
#<alt (* e 1/24)>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (cos (* 2 v))>
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)))))>
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#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<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 1>
#<alt (+ 1 (* -2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 2/3 (pow v 2)) 2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/3 (* -4/45 (pow v 2)))) 2)))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
#<alt (cos (* 2 v))>
Calls

99 calls:

TimeVariablePointExpression
6.0ms
v
@inf
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
5.0ms
e
@0
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
3.0ms
e
@0
(/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v)
2.0ms
e
@-inf
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
2.0ms
v
@0
(* (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))) (- (cos v) (/ 1 e)))

rewrite359.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
2986×*-lowering-*.f32
2986×*-lowering-*.f64
2196×fma-lowering-fma.f32
2196×fma-lowering-fma.f64
2062×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061489
1480431
25541431
08865431
Stop Event
1×iter limit
1×node limit
Counts
21 → 349
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(/ 1 (/ (/ (+ 1 e) e) v))
(/ (/ (+ 1 e) e) v)
(/ (+ 1 e) e)
(+ 1 e)
(/ e (/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v))
(/ (+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))) v)
(+ e (+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e)))))))
(+ 1 (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* e 1/24) (- (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (+ (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))) (+ 1/120 (* e 1/120)))))) (* 1/6 (+ 1 e))))))
(* (/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))) (- (cos v) (/ 1 e)))
(/ (sin v) (- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e))))
(- (+ 1/2 (* 1/2 (cos (* 2 v)))) (/ 1 (* e e)))
(cos v)
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (+ -1/5040 (* -1/5040 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(* e 1/24)
(+ 1/2 (* 1/2 (cos (* 2 v))))
(cos (* 2 v))
Outputs
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin.f64 v)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(-.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 v #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (cos.f64 v) e))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(pow.f64 e #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) e))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) #s(literal -1 binary64))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))))
(*.f64 (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1 binary64))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 (/.f64 v #s(literal 1 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) #s(literal -1/2 binary64)))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))) (-.f64 #s(literal 0 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (*.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (neg.f64 (*.f64 v e)))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (*.f64 v (-.f64 #s(literal 0 binary64) e)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) e) v))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) v)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
(pow.f64 (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 #s(literal 1 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64))))))
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(/.f64 (-.f64 (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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) (+.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) (sin.f64 v)) (-.f64 (cos.f64 v) (sin.f64 v)))

simplify379.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4892×*-lowering-*.f32
4892×*-lowering-*.f64
4214×+-lowering-+.f64
4214×+-lowering-+.f32
1730×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082911336
1285710724
0813210724
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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 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 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)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ 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)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ 1 e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 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)))
(/ (* e v) (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))
(* e (+ (* -1 (/ (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))
(* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 3))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 4))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3))))) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))
(/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))
(+ (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)))) (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))))
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(- (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (* (pow e 3) (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 4)))) (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))) (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)))))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1)))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2)))))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2)) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 3)))) e)))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 4))))) e)) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1 (/ (* e (* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (* (+ (* -1/2 e) (* 1/6 (+ 1 e))) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))) (pow (+ 1 e) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (pow (+ 1 e) 2))) (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (+ 1 e))) (/ (* e (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))))))) (pow (+ 1 e) 2)))))) (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
(/ e (* (pow v 5) (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))))))))
(/ (+ (* -1 (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* (pow v 2) (pow (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))) 2)))) (/ e (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))) (pow v 5))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* e (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 2)) (pow (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))) 3))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (pow (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))) 2))) (pow v 4))) (/ e (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* (pow v 2) (pow (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))) 2)))) (pow v 5))
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1
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(* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))
(* -2/945 (* e (pow v 2)))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
1
(+ 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))))
1
(+ 1 (* -2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 2/3 (pow v 2)) 2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/3 (* -4/45 (pow v 2)))) 2)))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
(cos (* 2 v))
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)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(/ (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)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (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)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (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)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (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)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 e (cos.f64 v)) (sin.f64 v))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (neg.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 (*.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(+ (* -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)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 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 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 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 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 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 v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(*.f64 e (-.f64 v (*.f64 v e)))
(* e (+ v (* e (- (* e v) v))))
(*.f64 e (+.f64 v (*.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 e (+.f64 v (*.f64 e (-.f64 (*.f64 e (-.f64 v (*.f64 v e))) v))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 (+.f64 v (/.f64 v (*.f64 e e))) (/.f64 v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 (-.f64 v (/.f64 v (*.f64 e (*.f64 e e)))) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ 1 (* e v))
(/.f64 #s(literal 1 binary64) (*.f64 v e))
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v)) e)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(+ (/ 1 v) (/ 1 (* e v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (/.f64 #s(literal 1 binary64) v))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) (* e v))
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(/ (+ (* -1 (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* (pow v 2) (pow (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))) 2)))) (/ e (- (+ 1/5040 (* -1/720 e)) (+ (* -1/6 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1/5040 e) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))) (pow v 5))
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(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))

eval155.0ms (1.5%)

Compiler

Compiled 54334 to 3329 computations (93.9% saved)

prune103.0ms (1%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New88720907
Fresh81119
Picked325
Done000
Total89833931
Accuracy
100.0%
Counts
931 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
60.0%
(/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (sin.f64 v)))
41.5%
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
98.8%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
▶99.4%
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
50.5%
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
50.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
5.8%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
▶51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
5.7%
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
50.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
51.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
98.8%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
▶49.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
49.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
49.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
49.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
49.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
2.4%
(-.f64 v (/.f64 v e))
73.3%
(*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))))
60.2%
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
50.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
99.4%
(*.f64 (sin.f64 v) (*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))))
▶99.0%
(*.f64 (sin.f64 v) e)
50.3%
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
50.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
42.5%
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))))
49.7%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
▶50.1%
(*.f64 v e)
✓4.2%
v
Compiler

Compiled 1132 to 640 computations (43.5% saved)

simplify241.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff256
(*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))))
✓cost-diff256
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v)
✓cost-diff256
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(sin.f64 v)
✓cost-diff12928
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
✓cost-diff12928
(+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
✓cost-diff12928
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
Rules
3316×*-lowering-*.f32
3316×*-lowering-*.f64
1848×sum3-define
1814×fma-define
1560×/-lowering-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
026160
163154
2172140
3530135
41347135
52585135
63019135
73251133
83906133
95826133
107574133
117789133
127923133
08256133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v)))
(sin v)
v
(+ (* (pow e -1/2) (pow e -1/2)) (cos v))
(* (pow e -1/2) (pow e -1/2))
(pow e -1/2)
e
-1/2
(cos v)
(* v e)
v
e
(/ 1 (/ (/ (+ 1 e) v) e))
1
(/ (/ (+ 1 e) v) e)
(/ (+ 1 e) v)
(+ 1 e)
e
v
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
e
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v)
(+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e)))))
(+ 1 e)
1
(* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))
(* v v)
v
(+ (* e -1/2) (+ 1/6 (* 1/6 e)))
(* e -1/2)
-1/2
(+ 1/6 (* 1/6 e))
1/6
(* 1/6 e)
(* (sin v) e)
(sin v)
v
e
Outputs
(/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (* (pow e -1/2) (pow e -1/2)) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(* (pow e -1/2) (pow e -1/2))
(/.f64 #s(literal 1 binary64) e)
(pow e -1/2)
(pow.f64 e #s(literal -1/2 binary64))
e
-1/2
#s(literal -1/2 binary64)
(cos v)
(cos.f64 v)
(* v e)
(*.f64 v e)
v
e
(/ 1 (/ (/ (+ 1 e) v) e))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(/ (/ (+ 1 e) v) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
v
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
(/.f64 (*.f64 v e) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))))
e
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v)
(/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) v)
(+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e)))))
(+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (+ 1/6 (* 1/6 e)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1/6 (* 1/6 e))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* (sin v) e)
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
e

localize131.0ms (1.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) e)
✓accuracy79.1%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(pow.f64 e #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
✓accuracy99.2%
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
Results
97.0ms256×0valid
Compiler

Compiled 184 to 27 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 15.0ms (25.4% of total)
ival-mult: 12.0ms (20.3% of total)
ival-add: 8.0ms (13.5% of total)
ival-pow: 8.0ms (13.5% of total)
ival-sin: 6.0ms (10.1% of total)
ival-cos: 5.0ms (8.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.8% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.3%)

Counts
16 → 324
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v)))>
#<alt (+ (* (pow e -1/2) (pow e -1/2)) (cos v))>
#<alt (* (pow e -1/2) (pow e -1/2))>
#<alt (sin v)>
#<alt (* v e)>
#<alt (/ 1 (/ (/ (+ 1 e) v) e))>
#<alt (/ (/ (+ 1 e) v) e)>
#<alt (/ (+ 1 e) v)>
#<alt (+ 1 e)>
#<alt (/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))>
#<alt (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v)>
#<alt (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e)))))>
#<alt (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))>
#<alt (* (sin v) e)>
#<alt (pow e -1/2)>
#<alt (* 1/6 e)>
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 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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 (/ (pow (sqrt -1) 2) e)))>
#<alt (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))>
#<alt (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))>
#<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)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) 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 (* 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 (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 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 v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* 1/6 (pow v 2))>
#<alt (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))>
#<alt (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))>
#<alt (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))>
#<alt (* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))>
#<alt (* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))>
#<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 (* 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 (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (sqrt (/ 1 e))>
#<alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2))>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
#<alt (* 1/6 e)>
Calls

81 calls:

TimeVariablePointExpression
13.0ms
v
@-inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
3.0ms
e
@inf
(pow e -1/2)
1.0ms
v
@inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
1.0ms
e
@-inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
1.0ms
e
@inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))

rewrite331.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3514×*-lowering-*.f32
3514×*-lowering-*.f64
3220×/-lowering-/.f32
3220×/-lowering-/.f64
2042×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026119
1176111
21558111
08403111
Stop Event
1×iter limit
1×node limit
Counts
16 → 610
Calls
Call 1
Inputs
(/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v)))
(+ (* (pow e -1/2) (pow e -1/2)) (cos v))
(* (pow e -1/2) (pow e -1/2))
(sin v)
(* v e)
(/ 1 (/ (/ (+ 1 e) v) e))
(/ (/ (+ 1 e) v) e)
(/ (+ 1 e) v)
(+ 1 e)
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v))
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))) v)
(+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e)))))
(* (* v v) (+ (* e -1/2) (+ 1/6 (* 1/6 e))))
(* (sin v) e)
(pow e -1/2)
(* 1/6 e)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))))
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(fma.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e #s(literal 1/6 binary64))))
(fma.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 v v) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 v v) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) v) v (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (-.f64 (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (-.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64))) (*.f64 v v)) (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/36 binary64))) (*.f64 v v)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))))) (neg.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (-.f64 (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (neg.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/36 binary64))))) (neg.f64 (-.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64))) (*.f64 v v))) (neg.f64 (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) #s(literal 1/36 binary64))) (*.f64 v v))) (neg.f64 (-.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v))) (-.f64 (*.f64 (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v v))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v v))))))
(*.f64 v (*.f64 v (+.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 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) v)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 e)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 e)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 e)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 e) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 e) #s(literal -1/4 binary64)) (*.f64 (log.f64 e) #s(literal -1/4 binary64))))
(pow.f64 e #s(literal -1/2 binary64))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 e))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 e #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) e)

simplify286.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4088×*-lowering-*.f32
4088×*-lowering-*.f64
2144×+-lowering-+.f64
2144×+-lowering-+.f32
1600×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04653576
115753308
255873261
081293261
Stop Event
1×iter limit
1×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))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ 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 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ 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)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
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)
(* 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)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ 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)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ 1 v)
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ (+ 1 e) v)
(/ (+ 1 e) v)
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(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v v))))
(+ 1 (* 1/6 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(* e (+ 1 (* -1/3 (pow v 2))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e)))) #s(literal 1 binary64)))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e)))) #s(literal 1 binary64)))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e)))) #s(literal 1 binary64)))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* 1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 1/6 binary64)))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* -1/3 (* e (pow v 2)))
(*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e))))
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e))))
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e))))
(* -1/3 (* e (pow v 2)))
(*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v 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 v v) (+.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 e #s(literal 1/120 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* 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))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(sqrt (/ 1 e))
(sqrt.f64 (/.f64 #s(literal 1 binary64) e))
(* (sqrt (/ 1 e)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) e)))
(* (sqrt (/ 1 e)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) e)))
(* (sqrt (/ 1 e)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) e)))
(* (sqrt (/ 1 e)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) e)))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))

eval120.0ms (1.2%)

Compiler

Compiled 29819 to 2926 computations (90.2% saved)

prune179.0ms (1.8%)

Pruning

45 alts after pruning (41 fresh and 4 done)

PrunedKeptTotal
New988231011
Fresh81826
Picked325
Done022
Total999451044
Accuracy
100.0%
Counts
1044 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
5.2%
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
5.4%
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
4.0%
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
41.5%
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
51.4%
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
98.8%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.4%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
67.5%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) (cos.f64 v)))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
99.5%
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v)))
50.5%
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
50.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
5.8%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
5.4%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
51.4%
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
51.1%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
5.7%
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
50.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
50.6%
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
4.9%
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
5.4%
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
98.8%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
51.9%
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
51.9%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
5.2%
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
49.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
49.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
2.4%
(-.f64 v (/.f64 v e))
73.3%
(*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))))
60.2%
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
51.9%
(*.f64 (/.f64 e (+.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)
51.9%
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
49.8%
(*.f64 (*.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))))))))) e)
49.8%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
99.4%
(*.f64 (sin.f64 v) (*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))))
✓99.0%
(*.f64 (sin.f64 v) e)
50.3%
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
50.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
49.8%
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
49.7%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓50.1%
(*.f64 v e)
✓4.2%
v
Compiler

Compiled 2092 to 829 computations (60.4% saved)

regimes82.0ms (0.8%)

Counts
75 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.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 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.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 (sin.f64 v) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) (cos.f64 v)))
(*.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 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v)))
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (sin.f64 v) (*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 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 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

30.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
21.0ms
v
19.0ms
e
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%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)

regimes41.0ms (0.4%)

Counts
60 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.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 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Calls

2 calls:

17.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.4%)

Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

19.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes48.0ms (0.5%)

Counts
55 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

18.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
99.0%1e
99.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes138.0ms (1.4%)

Counts
50 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) 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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
Calls

2 calls:

115.0ms
e
14.0ms
v
Results
AccuracySegmentsBranch
52.0%1e
52.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes52.0ms (0.5%)

Counts
49 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
Calls

2 calls:

34.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
51.9%1e
51.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(/.f64 e (/.f64 (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))) e)) (-.f64 #s(literal 0 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 v (-.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) e) (*.f64 (*.f64 v v) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))) (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
Outputs
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
Calls

2 calls:

18.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
51.9%1v
51.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts
37 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) v)
(/.f64 e (+.f64 (*.f64 e (+.f64 (*.f64 v #s(literal -1/3 binary64)) (/.f64 (*.f64 v #s(literal 1/6 binary64)) e))) (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e v))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)))))
(*.f64 (*.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))))))))) e)
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.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))))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64))))))) v))
Outputs
(*.f64 (/.f64 e (+.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:

13.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
51.9%1v
51.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/3 binary64))))) v))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
Outputs
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
Calls

2 calls:

21.0ms
v
8.0ms
e
Results
AccuracySegmentsBranch
51.4%1v
51.4%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 (/.f64 e v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)) e))
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

6.0ms
e
6.0ms
v
Results
AccuracySegmentsBranch
50.6%1v
50.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes52.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
Outputs
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
Calls

2 calls:

47.0ms
e
4.0ms
v
Results
AccuracySegmentsBranch
50.5%1v
50.5%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
Outputs
(*.f64 v e)
Calls

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
50.1%1v
50.1%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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
4.2%1v
4.2%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify102.0ms (1%)

Algorithm
1×egg-herbie
Rules
758×distribute-lft-neg-in_binary64
384×neg-mul-1_binary64
376×distribute-neg-in_binary64
358×neg-sub0_binary64
290×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
083253
1146253
2181253
3232253
4292253
5364253
6460252
7591252
8681252
9773252
10934252
111137252
121368252
131604252
141817252
151996252
162121252
172187252
182209252
192220252
202222252
212222252
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(*.f64 (/.f64 e (+.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 e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.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 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 e #s(literal -1/720 binary64)) (+.f64 (*.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 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (-.f64 (+.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 binary64)))))) (*.f64 #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 binary64))))) (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))) (*.f64 e #s(literal 1/24 binary64)))))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.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 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal -1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))) (*.f64 e #s(literal 1/24 binary64)))))))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v)))
(*.f64 e (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) e) (*.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 e (+.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 v (/.f64 e (+.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))))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 v e)
(*.f64 e v)
v

soundness2.2s (22%)

Rules
5996×+-lowering-+.f64
5996×+-lowering-+.f32
4892×*-lowering-*.f32
4892×*-lowering-*.f64
4266×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04653576
115753308
255873261
081293261
026119
1176111
21558111
08403111
01951175
16301113
220141086
365671086
081401086
082911336
1285710724
0813210724
09259836
131819592
082359592
0929
13627
224927
3240627
0893627
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 528 to 270 computations (48.9% saved)

preprocess132.0ms (1.3%)

Remove

(negabs v)

Compiler

Compiled 794 to 366 computations (53.9% saved)

end0.0ms (0%)

Profiling

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