Trigonometry A

Time bar (total: 9.5s)

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: 5.0ms
ival-add: 1.0ms (21.9% of total)
ival-mult: 1.0ms (21.9% of total)
ival-sin: 1.0ms (21.9% of total)
ival-<=: 1.0ms (21.9% of total)
ival-div: 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)

sample1.3s (13.6%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 762.0ms
ival-sin: 217.0ms (28.5% of total)
ival-cos: 201.0ms (26.4% of total)
ival-mult: 134.0ms (17.6% of total)
ival-<=: 81.0ms (10.6% of total)
ival-div: 55.0ms (7.2% of total)
ival-add: 49.0ms (6.4% of total)
const: 12.0ms (1.6% of total)
ival-and: 10.0ms (1.3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess113.0ms (1.2%)

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)

explain109.0ms (1.1%)

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
75.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 16.0ms (32% of total)
ival-cos: 15.0ms (30% of total)
ival-mult: 12.0ms (24% of total)
ival-div: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
const: 1.0ms (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)

simplify4.0ms (0%)

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)

localize52.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
38.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-cos: 13.0ms (49.7% of total)
ival-sin: 6.0ms (22.9% of total)
ival-mult: 4.0ms (15.3% of total)
ival-div: 2.0ms (7.6% of total)
ival-add: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
5 → 108
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))>
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))>
Calls

27 calls:

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

rewrite311.0ms (3.3%)

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
0927
13625
224925
3240625
0893625
Stop Event
1×iter limit
1×node limit
Counts
5 → 290
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (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)))

simplify243.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4514×*-lowering-*.f32
4514×*-lowering-*.f64
1708×+-lowering-+.f64
1708×+-lowering-+.f32
1694×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821121
15961063
219221040
369031040
084421040
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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))
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 (*.f64 #s(literal -1 binary64) (*.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 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 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 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 e (*.f64 e #s(literal -1/720 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal 1/24 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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 e (+.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 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.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))

eval46.0ms (0.5%)

Compiler

Compiled 10126 to 1024 computations (89.9% saved)

prune57.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3899398
Fresh000
Picked011
Done000
Total38910399
Accuracy
99.9%
Counts
399 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.3%
(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))
▶98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
▶99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
53.3%
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
▶53.3%
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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))))))))))
▶53.6%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
99.2%
(*.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))))))
97.4%
(*.f64 e (sin.f64 v))
Compiler

Compiled 439 to 227 computations (48.3% saved)

simplify218.0ms (2.3%)

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 #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓cost-diff1536
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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-diff1536
(*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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-diff1536
(+.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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-diff1536
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 v (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e (/.f64 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
3596×*-lowering-*.f32
3596×*-lowering-*.f64
2018×+-lowering-+.f64
2018×+-lowering-+.f32
1810×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
048772
1142743
2460718
31916650
45321611
57657604
08007604
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 1))
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(* v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))
(* (* e e) 1/2)
(* e e)
1/2
(* (+ e 1) (+ e 1))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))
(/ 1/120 (+ e 1))
1/120
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))))
-1/2
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(* -1/24 (* e e))
-1/24
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(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 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
e
(/ v (+ e 1))
(/.f64 v (+.f64 #s(literal 1 binary64) 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64)))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64))))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64)))))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64))))))))
(+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))))
(/ (* e -1/6) (+ e 1))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))
(* (* e e) 1/2)
(*.f64 e (*.f64 e #s(literal 1/2 binary64)))
(* e e)
(*.f64 e e)
1/2
#s(literal 1/2 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (/.f64 (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/120 binary64)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(+.f64 (*.f64 e (/.f64 (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/120 binary64))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 binary64)))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 (*.f64 e (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) e))) #s(literal -1/6 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))
(/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) e))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(* -1/24 (* e e))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
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)

localize256.0ms (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.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))
✓accuracy77.0%
(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%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.9%
(*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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))
✓accuracy92.9%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 (/.f64 v (+.f64 e #s(literal 1 binary64))))
✓accuracy100.0%
(/.f64 v (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓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
121.0ms194×0valid
35.0ms62×0invalid
Compiler

Compiled 790 to 49 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 31.0ms (32.3% of total)
ival-div: 19.0ms (19.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (13.6% of total)
ival-add: 9.0ms (9.4% of total)
ival-pow: 9.0ms (9.4% of total)
ival-sin: 7.0ms (7.3% of total)
ival-cos: 5.0ms (5.2% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.7%)

Counts
21 → 444
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 (/ v (+ e 1))>
#<alt (+ e 1)>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))>
#<alt (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (* e (sin 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 (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 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)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
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#<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

111 calls:

TimeVariablePointExpression
7.0ms
v
@0
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
6.0ms
v
@-inf
(/ (+ 1 (* e (cos v))) (sin v))
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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
2.0ms
v
@inf
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))

rewrite341.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4362×*-lowering-*.f32
4362×*-lowering-*.f64
1872×/-lowering-/.f32
1872×/-lowering-/.f64
1802×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048454
1337404
23869404
08112404
Stop Event
1×iter limit
1×node limit
Counts
21 → 399
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)))
(/ v (+ e 1))
(+ e 1)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(/ (* e (sin v)) (+ e 1))
(* e (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)))
(/ (+ 1 (* e (cos v))) (sin v))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ 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))
(/.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))))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (*.f64 v e)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) e)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) v) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) e) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal -1 binary64))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
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(*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
(*.f64 (+.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 (*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) v)
(*.f64 e #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) e)
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
(*.f64 (*.f64 e #s(literal -1/24 binary64)) e)
(+.f64 (*.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 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 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) e))
(/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/1728000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.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 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 e (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) e) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/1728000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.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 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) e) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) e) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)))))
(*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e)) e)

simplify436.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
6228×+-lowering-+.f64
6228×+-lowering-+.f32
4524×*-lowering-*.f32
4524×*-lowering-*.f64
1162×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09829964
134089736
085439736
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
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))))
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(* 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))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))
(+ (* -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))))))
(* 2/15 (pow v 2))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* 1/120 e)
(* e (+ 1/120 (* -11/120 e)))
(* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))
(* 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)))
(+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))
(+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.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 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.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 (*.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 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.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 (/.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))))))))
(/ (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 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (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 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) 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 (+ 1 (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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))))
(+.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 v v) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.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 -1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))))
(+ (* (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))))
(+.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 v v) (+.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 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.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 -1/24 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 #s(literal 1/48 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.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 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.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 -1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 (*.f64 e (+.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 e)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (cos.f64 v)))))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (/ 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)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
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(* (pow v 4) (+ (* -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 4) (+ (* -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 4) (+ (* -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 4) (+ (* -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 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))
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(* (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))))))))))
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(* (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))))))))))
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(* (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))))))))))
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(* (pow v 4) (+ (* -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 4) (+ (* -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)))))))))
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(* (pow v 4) (+ (* -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)))))))))
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(* (pow v 4) (+ (* -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)))))))))
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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 #s(literal -1/6 binary64) (/.f64 e (+.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 #s(literal -1/6 binary64) (/.f64 e (+.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 #s(literal -1/6 binary64) (/.f64 e (+.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 #s(literal -1/6 binary64) (/.f64 e (+.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 #s(literal -1/6 binary64) (/.f64 e (+.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 #s(literal -1/6 binary64) (/.f64 e (+.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 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e))
(+ (* -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 -61/120 binary64)) e) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e))))
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e) (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e))) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) (*.f64 e (*.f64 e e)))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -17/15 binary64)) e)) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -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))

eval214.0ms (2.3%)

Compiler

Compiled 75285 to 4474 computations (94.1% saved)

prune133.0ms (1.4%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1261221283
Fresh314
Picked415
Done101
Total1269241293
Accuracy
100.0%
Counts
1293 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
53.3%
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
53.3%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
53.3%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
53.3%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
▶53.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
53.5%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
67.4%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
98.8%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
▶51.8%
(*.f64 (*.f64 v 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)))))
97.3%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶97.4%
(*.f64 (sin.f64 v) e)
53.3%
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
52.1%
(*.f64 v e)
✓53.6%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
53.6%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
52.9%
(*.f64 e (-.f64 v (*.f64 v e)))
6.0%
(sin.f64 v)
▶4.6%
v
Compiler

Compiled 641 to 406 computations (36.7% saved)

simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(*.f64 (*.f64 v 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)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(*.f64 (cos.f64 v) e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
✓cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
Rules
1568×fma-define
1000×fma-lowering-fma.f32
1000×fma-lowering-fma.f64
844×*-lowering-*.f32
844×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022121
156116
2170116
3513114
41281114
51739114
61788114
71808114
81857114
91994114
102165114
112195114
122195114
02195114
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ e (/ (+ 1 (* (cos v) e)) (sin v)))
e
(/ (+ 1 (* (cos v) e)) (sin v))
(+ 1 (* (cos v) e))
1
(* (cos v) e)
(cos v)
v
(sin v)
v
(/ v (+ 1 (/ 1 e)))
v
(+ 1 (/ 1 e))
1
(/ 1 e)
e
(* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
(* v e)
v
e
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
1
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(* v v)
(+ (* (* v v) 1/120) -1/6)
(* (* v v) 1/120)
1/120
-1/6
(* (sin v) e)
(sin v)
v
e
Outputs
(/ e (/ (+ 1 (* (cos v) e)) (sin v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
e
(/ (+ 1 (* (cos v) e)) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* (cos v) e))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* (cos v) e)
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
v
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
v
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
(* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
(*.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))))))
(* v e)
(*.f64 e v)
v
e
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
(+ (* (* v v) 1/120) -1/6)
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (* v v) 1/120)
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* (sin v) e)
(*.f64 e (sin.f64 v))
(sin v)
(sin.f64 v)
v
e

localize114.0ms (1.2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓accuracy98.8%
(*.f64 (*.f64 v 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)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.7%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 (cos.f64 v) e)
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
Results
85.0ms256×0valid
Compiler

Compiled 131 to 23 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
...c/correct-round.rkt:119:19: 21.0ms (36.8% of total)
ival-mult: 12.0ms (21% of total)
ival-div: 7.0ms (12.3% of total)
ival-cos: 6.0ms (10.5% of total)
ival-add: 5.0ms (8.8% of total)
ival-sin: 5.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
15 → 276
Calls
Call 1
Inputs
#<alt (/ e (/ (+ 1 (* (cos v) e)) (sin v)))>
#<alt (/ (+ 1 (* (cos v) e)) (sin v))>
#<alt (+ 1 (* (cos v) e))>
#<alt (* (cos v) e)>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (+ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))>
#<alt (* v e)>
#<alt (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))>
#<alt (* (* v v) (+ (* (* v v) 1/120) -1/6))>
#<alt (* (sin v) e)>
#<alt (sin v)>
#<alt (* (* v v) 1/120)>
#<alt (+ (* (* v v) 1/120) -1/6)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (+ 1 e)>
#<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 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 e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (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 (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<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 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* 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) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (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 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 (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt -1/6>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
e
@0
(/ (+ 1 (* (cos v) e)) (sin v))
1.0ms
e
@0
(* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
1.0ms
v
@inf
(/ v (+ 1 (/ 1 e)))
1.0ms
v
@inf
(* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
0.0ms
v
@-inf
(/ v (+ 1 (/ 1 e)))

rewrite289.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3920×*-lowering-*.f32
3920×*-lowering-*.f64
3538×/-lowering-/.f32
3538×/-lowering-/.f64
1832×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022100
113395
2111195
0839495
Stop Event
1×iter limit
1×node limit
Counts
15 → 488
Calls
Call 1
Inputs
(/ e (/ (+ 1 (* (cos v) e)) (sin v)))
(/ (+ 1 (* (cos v) e)) (sin v))
(+ 1 (* (cos v) e))
(* (cos v) e)
(/ v (+ 1 (/ 1 e)))
(+ 1 (/ 1 e))
(/ 1 e)
(* (* v e) (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
(* v e)
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(* (sin v) e)
(sin v)
(* (* v v) 1/120)
(+ (* (* v v) 1/120) -1/6)
Outputs
(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 e (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 e (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 e (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 e (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v))) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -1/373248000 binary64)))) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal 1/216 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/207360000 binary64)) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/207360000 binary64)) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v)))))

simplify315.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4472×*-lowering-*.f32
4472×*-lowering-*.f64
4036×+-lowering-+.f64
4036×+-lowering-+.f32
1032×neg-lowering-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03002532
19922415
231942372
082122372
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(+ 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)))
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))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (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))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(/ v (+ 1 (/ 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 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))
(/ 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 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)
(* 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) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* 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 (* -1/6 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* -1/6 (pow v 2))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 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))
(* 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))
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)
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
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 e (*.f64 (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 (neg.f64 (*.f64 e (*.f64 (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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.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 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64)))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/720 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64)))) #s(literal 1/6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)))))))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.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 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 v v)))))
(+ 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 (*.f64 v v) #s(literal -1/720 binary64)))))))
(+ 1 (* e (cos v)))
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(* 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 v (*.f64 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)
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow v 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
(- (* 1/120 (pow v 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
(- (* 1/120 (pow v 2)) 1/6)
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 v v)))))

eval93.0ms (1%)

Compiler

Compiled 19101 to 1936 computations (89.9% saved)

prune146.0ms (1.5%)

Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New76420784
Fresh81018
Picked055
Done011
Total77236808
Accuracy
100.0%
Counts
808 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
97.2%
(/.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)))
9.2%
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
16.2%
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
52.1%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
✓53.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶54.7%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
▶54.6%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
98.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
53.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
97.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
52.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
▶52.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
67.4%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
18.0%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
18.0%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
43.6%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
53.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
51.8%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
51.8%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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)
✓51.8%
(*.f64 (*.f64 v 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)))))
51.8%
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
✓97.4%
(*.f64 (sin.f64 v) e)
53.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
51.9%
(*.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))))))))
51.8%
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
▶52.1%
(*.f64 v e)
✓53.6%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
53.6%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
52.9%
(*.f64 e (-.f64 v (*.f64 v e)))
6.0%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 1073 to 653 computations (39.1% saved)

simplify260.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff896
(*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))
✓cost-diff896
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))
✓cost-diff896
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)
✓cost-diff896
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
✓cost-diff256
(*.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))))))
✓cost-diff256
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.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)))))))
✓cost-diff256
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v)
✓cost-diff256
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
✓cost-diff0
(*.f64 v e)
✓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
3624×*-lowering-*.f32
3624×*-lowering-*.f64
3168×+-lowering-+.f64
3168×+-lowering-+.f32
2846×distribute-lft-in
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
040489
1115463
2425405
32426374
44656374
54886374
65001374
75104374
85295374
95520374
107552372
117609372
127672372
137861372
147861372
157971372
08045372
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 e)
v
e
(/ 1 (/ (+ 1 e) (* v e)))
1
(/ (+ 1 e) (* v e))
(+ 1 e)
e
(* v e)
v
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))))
(+ e 1)
1
(* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))
v
(* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))
(+ (* e -1/2) (+ 1/6 (* e 1/6)))
(* e -1/2)
-1/2
(+ 1/6 (* e 1/6))
1/6
(* e 1/6)
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))))
(+ e 1)
1
(* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))
v
(* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))
(+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))
(* e -1/2)
-1/2
(+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))
(* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24))))
(* v v)
(+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))
(* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6)
(+ (* e -1/2) (+ 1/6 (* e 1/6)))
(+ 1/6 (* e 1/6))
1/6
(* e 1/6)
(+ (* (+ e 1) -1/120) (* e 1/24))
(* (+ e 1) -1/120)
-1/120
(* e 1/24)
1/24
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 e)
(*.f64 v e)
v
e
(/ 1 (/ (+ 1 e) (* v e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(/ (+ 1 e) (* v e))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
(* v e)
(*.f64 v e)
v
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v))
(/.f64 (*.f64 v e) (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v))))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v)))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v))
v
(* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))
(*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(+ (* e -1/2) (+ 1/6 (* e 1/6)))
(+.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 (* e 1/6))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* e 1/6)
(*.f64 e #s(literal 1/6 binary64))
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))
(/.f64 (*.f64 v e) (+.f64 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 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64))))))))))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v)
(/.f64 (+.f64 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 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64))))))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))))
(+.f64 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 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))))))))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))))))
v
(* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))
(*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))))))
(+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64))))))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))
(+.f64 (*.f64 e #s(literal 1/6 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))))))
(* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))))
(* v v)
(*.f64 v v)
(+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))
(+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64))))
(* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6)
(+.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64)))
(+ (* e -1/2) (+ 1/6 (* e 1/6)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(+ 1/6 (* e 1/6))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* e 1/6)
(*.f64 e #s(literal 1/6 binary64))
(+ (* (+ e 1) -1/120) (* e 1/24))
(+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))
(* (+ e 1) -1/120)
(+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal -1/120 binary64)))
-1/120
#s(literal -1/120 binary64)
(* e 1/24)
(*.f64 e #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize244.0ms (2.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
✓accuracy99.4%
(*.f64 e #s(literal 1/6 binary64))
✓accuracy99.4%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy98.1%
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v)
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
✓accuracy99.4%
(*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
✓accuracy99.4%
(*.f64 e #s(literal 1/6 binary64))
✓accuracy75.4%
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 v e)
✓accuracy99.7%
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(sin.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
150.0ms256×0valid
Compiler

Compiled 551 to 41 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 25.0ms (30.8% of total)
ival-div: 17.0ms (21% of total)
...c/correct-round.rkt:119:19: 14.0ms (17.3% of total)
ival-add: 13.0ms (16% of total)
ival-sin: 7.0ms (8.6% of total)
ival-cos: 5.0ms (6.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.5%)

Counts
21 → 432
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (/ 1 e) (cos v)))>
#<alt (sin v)>
#<alt (+ (/ 1 e) (cos v))>
#<alt (/ 1 e)>
#<alt (* v e)>
#<alt (/ 1 (/ (+ 1 e) (* v e)))>
#<alt (/ (+ 1 e) (* v e))>
#<alt (+ 1 e)>
#<alt (/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v))>
#<alt (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v)>
#<alt (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))))>
#<alt (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))>
#<alt (/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))>
#<alt (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v)>
#<alt (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))))>
#<alt (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))>
#<alt (cos v)>
#<alt (* e 1/6)>
#<alt (* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))>
#<alt (* e 1/24)>
#<alt (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ 1 (/ 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 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* 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>
#<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))>
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#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))))))))) v)>
#<alt (* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (+ 1 (+ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 e) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (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) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))))>
#<alt (* (pow v 4) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 4) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* (pow v 4) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))>
#<alt (+ (* e (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (* e (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))>
#<alt (* e (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* -1 (* e (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* 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 (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* 1/6 v)>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (* -1/3 (* e v))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* -1/3 (* e v))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))>
#<alt (* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* v (+ 1/6 (* 7/360 (pow v 2))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (* e (* v (- (* -1/45 (pow v 2)) 1/3)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
Calls

108 calls:

TimeVariablePointExpression
6.0ms
v
@inf
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v)
3.0ms
v
@inf
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))
2.0ms
v
@0
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v))
2.0ms
e
@-inf
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))
1.0ms
e
@inf
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))

rewrite354.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2952×*-lowering-*.f32
2952×*-lowering-*.f64
2838×fma-lowering-fma.f32
2838×fma-lowering-fma.f64
2066×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040302
1297286
23178281
08683281
Stop Event
1×iter limit
1×node limit
Counts
21 → 423
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(* v e)
(/ 1 (/ (+ 1 e) (* v e)))
(/ (+ 1 e) (* v e))
(+ 1 e)
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v))
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))))
(* v (* v (+ (* e -1/2) (+ 1/6 (* e 1/6)))))
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v))
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))))
(* v (* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6))))))
(cos v)
(* e 1/6)
(* v (+ (* e -1/2) (+ 1/6 (* e 1/6))))
(* e 1/24)
(* v (+ (* e -1/2) (+ (* (* v v) (+ (* (+ (* e -1/2) (+ 1/6 (* e 1/6))) 1/6) (+ (* (+ e 1) -1/120) (* e 1/24)))) (+ 1/6 (* e 1/6)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64)))
(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))
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))) (+.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/120 binary64) e)) (*.f64 e #s(literal 1/24 binary64))))))))))
(*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))) (+.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/120 binary64) e)) (*.f64 e #s(literal 1/24 binary64))))))))) v)

simplify386.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
4920×*-lowering-*.f32
4920×*-lowering-*.f64
4732×+-lowering-+.f64
4732×+-lowering-+.f32
1566×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07337971
126247327
081887327
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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)
(* 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)
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(* 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)))
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(/ (* e v) (+ 1 e))
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(/ (* 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
(+ 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 (* 1/6 (pow v 2))))
(* 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))))))
(* 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))))))
(* 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))))))
(/ v (+ 1 (* -1/3 (pow v 2))))
(+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))
(- (+ (/ 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))))
(- (+ (* -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)))))
(* -1 (/ v (- (* 1/3 (pow v 2)) 1)))
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(/ (* e v) (+ 1 e))
(* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
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(/ (- (+ (/ 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)
(/ (- (+ (* -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)
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
(* -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))
(* -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))
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(/ (+ 1 (* 1/6 (pow v 2))) v)
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(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
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(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
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(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
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(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
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(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
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(* e (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* e (+ (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* -1 (* e (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))))
(* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))))))
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)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* 1/6 e)
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* 1/6 v)
(+ (* -1/3 (* e v)) (* 1/6 v))
(+ (* -1/3 (* e v)) (* 1/6 v))
(+ (* -1/3 (* e v)) (* 1/6 v))
(* -1/3 (* e v))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* -1/3 (* e v))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(* 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)
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))))))
(* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))
(* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))
(* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))
(* (pow v 3) (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (* 1/6 (/ 1 (pow v 2)))))))))
(* (pow v 3) (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))))
(* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))
(* v (+ 1/6 (* 7/360 (pow v 2))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(* e (* v (- (* -1/45 (pow v 2)) 1/3)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
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 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 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 #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 (/.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)))) (* (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 (*.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 (*.f64 #s(literal -1/2 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 #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 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 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 #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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) 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 (/.f64 (sin.f64 v) 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 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -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 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 v) e) (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) e) (+.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)) (/ 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)
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(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/120 binary64) (+.f64 (*.f64 #s(literal -1/120 binary64) e) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1 (+ (* -1/120 (+ 1 e)) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/120 binary64) (+.f64 (*.f64 #s(literal -1/120 binary64) e) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 v v)))))
(* v (+ 1/6 (* 7/360 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(* e (* v (- (* -1/45 (pow v 2)) 1/3)))
(*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))
(*.f64 (*.f64 v (neg.f64 e)) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) e)) (neg.f64 e))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) e)) (neg.f64 e))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) e)) (neg.f64 e))

eval115.0ms (1.2%)

Compiler

Compiled 30876 to 2305 computations (92.5% saved)

prune130.0ms (1.4%)

Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New88425909
Fresh91625
Picked325
Done066
Total89649945
Accuracy
100.0%
Counts
945 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
3.6%
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
53.2%
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
72.0%
(/.f64 (sin.f64 v) (/.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))))
97.2%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
73.8%
(/.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)))
52.1%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
✓53.5%
(/.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) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
5.8%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))
52.7%
(/.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
54.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
54.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
54.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
54.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
98.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
53.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
53.1%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
✓99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
53.2%
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
5.8%
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
5.8%
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
54.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
97.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
4.7%
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
52.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
2.1%
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
2.5%
(-.f64 v (/.f64 v e))
2.0%
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
54.7%
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
43.6%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
54.6%
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
53.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
51.8%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
51.8%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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)
✓51.8%
(*.f64 (*.f64 v 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)))))
51.8%
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
✓97.4%
(*.f64 (sin.f64 v) e)
53.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
51.9%
(*.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))))))))
51.8%
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
✓52.1%
(*.f64 v e)
✓53.6%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
52.9%
(*.f64 e (-.f64 v (*.f64 v e)))
6.0%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 2445 to 853 computations (65.1% saved)

regimes72.0ms (0.8%)

Counts
77 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(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 (sin.f64 v) (/.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 (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))
(*.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))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

22.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
21.0ms
v
20.0ms
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)

regimes48.0ms (0.5%)

Counts
70 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (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:

20.0ms
v
19.0ms
e
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.5%)

Counts
65 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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:

18.0ms
v
17.0ms
e
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes44.0ms (0.5%)

Counts
64 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
Calls

2 calls:

18.0ms
v
17.0ms
e
Results
AccuracySegmentsBranch
98.8%1e
98.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes41.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
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(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
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(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (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:

17.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
97.4%1e
97.4%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.4%)

Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
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(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 e #s(literal -1/2 binary64)))) (*.f64 (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (*.f64 v (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(*.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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))))) v))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
Calls

2 calls:

16.0ms
v
15.0ms
e
Results
AccuracySegmentsBranch
54.7%1e
54.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts
49 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.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))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))))))))))
(*.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))))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))) (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) 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))))))) v)
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(/.f64 v (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
Outputs
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
Calls

2 calls:

14.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
54.7%1v
54.7%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))
Outputs
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
Calls

2 calls:

12.0ms
v
9.0ms
e
Results
AccuracySegmentsBranch
54.6%1v
54.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
31 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/3 binary64)))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v 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 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
Calls

2 calls:

9.0ms
e
9.0ms
v
Results
AccuracySegmentsBranch
54.3%1v
54.3%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
24 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 v v) #s(literal -1/3 binary64))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
Outputs
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
e
7.0ms
v
Results
AccuracySegmentsBranch
53.6%1v
53.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 v e)))
Outputs
(*.f64 e (-.f64 v (*.f64 v e)))
Calls

2 calls:

2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
52.9%1v
52.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
Outputs
(*.f64 v e)
Calls

2 calls:

25.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
52.1%1v
52.1%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
e
1.0ms
v
Results
AccuracySegmentsBranch
4.6%1v
4.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
50×*-commutative_binary64
36×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062165
1107165
2118165
3124165
4128165
5129165
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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.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 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)) (*.f64 e #s(literal 1/24 binary64)))))))))) v))
(*.f64 (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) e)
(*.f64 e (/.f64 v (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))))
(*.f64 (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)))))))) v)
(*.f64 v (/.f64 e (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 e (*.f64 v v)))) v))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
(*.f64 e v)
v

soundness2.4s (25.8%)

Rules
6228×+-lowering-+.f64
6228×+-lowering-+.f32
4920×*-lowering-*.f32
4920×*-lowering-*.f64
4732×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07337971
126247327
081887327
040302
1297286
23178281
08683281
0927
13625
224925
3240625
0893625
01821121
15961063
219221040
369031040
084421040
09829964
134089736
085439736
048454
1337404
23869404
08112404
03002532
19922415
231942372
082122372
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
1×iter limit
1×node limit
Compiler

Compiled 370 to 203 computations (45.1% saved)

preprocess119.0ms (1.3%)

Remove

(negabs v)

Compiler

Compiled 594 to 300 computations (49.5% saved)

end0.0ms (0%)

Profiling

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