Trigonometry A

Time bar (total: 8.8s)

analyze28.0ms (0.3%)

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

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 1.0ms (22.1% of total)
ival-mult: 1.0ms (22.1% of total)
ival-sin: 1.0ms (22.1% of total)
ival-<=: 1.0ms (22.1% 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)

sample1.7s (19.9%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-add: 365.0ms (33.1% of total)
ival-sin: 214.0ms (19.4% of total)
ival-cos: 205.0ms (18.6% of total)
ival-mult: 132.0ms (12% of total)
ival-<=: 93.0ms (8.4% of total)
ival-div: 62.0ms (5.6% of total)
ival-and: 17.0ms (1.5% of total)
const: 12.0ms (1.1% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess119.0ms (1.4%)

Algorithm
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
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Call 2
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (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)

explain162.0ms (1.8%)

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
112.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 17.0ms (39% of total)
ival-sin: 11.0ms (25.3% of total)
ival-mult: 8.0ms (18.4% of total)
ival-div: 3.0ms (6.9% of total)
ival-add: 3.0ms (6.9% of total)
const: 1.0ms (2.3% 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 (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
11630
22130
32230
02230
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
e
(sin v)
v
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)

localize55.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy99.9%
(*.f64 e (cos.f64 v))
accuracy99.9%
(*.f64 e (sin.f64 v))
Results
43.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 10.0ms (43.4% of total)
ival-sin: 6.0ms (26% of total)
ival-mult: 4.0ms (17.4% of total)
ival-div: 2.0ms (8.7% of total)
ival-add: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

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

30 calls:

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

rewrite385.0ms (4.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
13627
225027
3241927
0896627
Stop Event
iter limit
node limit
Counts
6 → 293
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (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 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (*.f64 (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 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(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 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(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 (*.f64 e (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 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(*.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))))))))
(*.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 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify270.0ms (3.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01951175
16301044
220181012
365891012
081641012
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (*.f64 e (*.f64 (neg.f64 (*.f64 e (sin.f64 v))) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (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 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 #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))))
(* 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 v v) (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64)))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval47.0ms (0.5%)

Compiler

Compiled 10326 to 1051 computations (89.8% saved)

prune61.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4049413
Fresh000
Picked101
Done000
Total4059414
Accuracy
100.0%
Counts
414 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(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))
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
57.7%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
57.5%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
57.3%
(*.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
98.4%
(*.f64 e (sin.f64 v))
99.6%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Compiler

Compiled 428 to 224 computations (47.7% saved)

simplify202.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 e (cos.f64 v))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
cost-diff128
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))
cost-diff256
(*.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))
cost-diff384
(+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))
cost-diff512
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 e (cos.f64 v))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Rules
3716×*-lowering-*.f32
3716×*-lowering-*.f64
2102×+-lowering-+.f64
2102×+-lowering-+.f32
2080×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047710
1141639
2486596
31992584
45526553
08034553
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 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)
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(* v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/ 1/2 (+ e 1))
1/2
(/ (* e e) (+ e 1))
(* e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(/ 1/120 (+ e 1))
1/120
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
-1/2
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(* -1/24 (* e e))
-1/24
(* (+ e 1) (+ e 1))
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
1
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
v
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
e
(/ (/ 1 (+ 1 (* e (cos v)))) (/ (/ 1 e) (sin v)))
(/ 1 (+ 1 (* e (cos v))))
1
(+ 1 (* e (cos v)))
(* e (cos v))
e
(cos v)
v
(/ (/ 1 e) (sin v))
(/ 1 e)
(sin v)
Outputs
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(/ (* e v) (+ e 1))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
e
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))))))
(/ (* e -1/6) (+ e 1))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal 1 binary64)))
(/ 1/2 (+ e 1))
(/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (* e e) (+ e 1))
(*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* e e)
(*.f64 e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/120 binary64)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/120 binary64))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64))))))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))
(/ 1/120 (+ e 1))
(/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64)))
1/120
#s(literal 1/120 binary64)
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))
(/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/12 binary64))) (+.f64 e #s(literal 1 binary64)))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/12 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 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(* -1/24 (* e e))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
(/ (/ 1 (+ 1 (* e (cos v)))) (/ (/ 1 e) (sin v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/ 1 (+ 1 (* e (cos v))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(+ 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)
(cos.f64 v)
v
(/ (/ 1 e) (sin v))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(sin v)
(sin.f64 v)

localize299.0ms (3.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy99.9%
(*.f64 e (cos.f64 v))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))
accuracy97.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(cos.f64 v)
accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
accuracy99.8%
(*.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))
accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
accuracy87.7%
(*.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(*.f64 e v)
accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
accuracy100.0%
(cos.f64 v)
accuracy99.9%
(*.f64 e (cos.f64 v))
accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Results
202.0ms256×0valid
Compiler

Compiled 795 to 48 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-div: 38.0ms (40.3% of total)
ival-mult: 23.0ms (24.4% of total)
...c/correct-round.rkt:119:19: 11.0ms (11.7% of total)
ival-add: 9.0ms (9.5% of total)
ival-cos: 6.0ms (6.4% of total)
ival-sin: 5.0ms (5.3% of total)
ival-sub: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.5%)

Counts
22 → 432
Calls
Call 1
Inputs
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))>
#<alt (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))>
#<alt (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))>
#<alt (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))>
#<alt (* 1 (/ (sin v) (+ (cos v) (/ 1 e))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (sin v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (/ 1 (+ 1 (* e (cos v)))) (/ (/ 1 e) (sin v)))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (cos v)>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
#<alt (/ (/ 1 e) (sin 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 (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
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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 (* (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 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
Calls

108 calls:

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

rewrite377.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
3560×*-lowering-*.f32
3560×*-lowering-*.f64
2578×/-lowering-/.f32
2578×/-lowering-/.f64
2398×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043256
1299245
23325237
08509237
Stop Event
iter limit
node limit
Counts
22 → 471
Calls
Call 1
Inputs
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(+ (cos v) (/ 1 e))
(/ (/ 1 (+ 1 (* e (cos v)))) (/ (/ 1 e) (sin v)))
(/ 1 (+ 1 (* e (cos v))))
(cos v)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
(/ (/ 1 e) (sin v))
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)))
(neg.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (*.f64 e (sin.f64 v))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e) (sin.f64 v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))) (sin.f64 v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (*.f64 v v)) (+.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal 1/576 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) 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)
(exp.f64 (*.f64 (log.f64 (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) e) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) e) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (/.f64 #s(literal -1 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) e))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal 1 binary64))
(pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))

simplify328.0ms (3.7%)

Algorithm
egg-herbie
Rules
4222×*-lowering-*.f32
4222×*-lowering-*.f64
3142×+-lowering-+.f64
3142×+-lowering-+.f32
1758×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06956346
123215664
271875579
087575579
Stop Event
iter limit
node limit
Counts
432 → 432
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 (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) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -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))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* 1/120 (* e (pow v 2)))
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(* 2/15 (pow v 2))
(+ (* -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 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (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) (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 (/.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)))) (/ (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 e (/.f64 #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 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e (+.f64 (*.f64 e (/.f64 #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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (*.f64 e (/.f64 #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 (*.f64 e #s(literal -1/2 binary64)) (-.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e (+.f64 (*.f64 e (/.f64 #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 e #s(literal 1 binary64))))) (-.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e (+.f64 (*.f64 e (/.f64 #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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ 1 (sin v))
(/.f64 #s(literal 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 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 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 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #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 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #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 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
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(* e (cos v))
(*.f64 e (cos.f64 v))
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(* e (cos v))
(*.f64 e (cos.f64 v))
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(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 e (/.f64 #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))))))))
(* (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 v (*.f64 v (+.f64 (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 e (/.f64 #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))))))))
(* (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 v (*.f64 v (+.f64 (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 e (/.f64 #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))))))))
(* (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 v (*.f64 v (+.f64 (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 e (/.f64 #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))))))))
(* (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 v (*.f64 v (+.f64 (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 e (/.f64 #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))))))))
(* 1/120 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
(* 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 e #s(literal -2/15 binary64)))))
(* 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 e #s(literal 61/120 binary64)))))))
(* 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) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -2/15 binary64)))) (*.f64 (*.f64 e e) (*.f64 (*.f64 v v) (+.f64 #s(literal 61/120 binary64) (*.f64 e #s(literal -17/15 binary64)))))))
(* 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 (*.f64 v v) e) #s(literal -241/120 binary64)) (*.f64 e e)) (+.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)))))
(* 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 #s(literal -17/15 binary64) (/.f64 (*.f64 v v) e))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 (/.f64 (*.f64 v v) e) #s(literal -241/120 binary64))) 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 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(* -1/24 (pow e 2))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e v))
(/.f64 #s(literal 1 binary64) (*.f64 e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 7/360 binary64)) e) (/.f64 #s(literal 1/6 binary64) e)))) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)) e) (/.f64 #s(literal 7/360 binary64) e)))))) v)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/ 1 (* e (sin v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)

eval243.0ms (2.8%)

Compiler

Compiled 89373 to 6020 computations (93.3% saved)

prune154.0ms (1.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1524211545
Fresh224
Picked505
Done000
Total1531231554
Accuracy
100.0%
Counts
1554 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(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))
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
57.6%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
58.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
58.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
58.9%
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v))
57.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
97.5%
(/.f64 e (*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e)))
75.0%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
57.3%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
57.5%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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)))))))))
57.5%
(*.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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
57.0%
(*.f64 e (-.f64 v (*.f64 e v)))
98.4%
(*.f64 e (sin.f64 v))
56.6%
(*.f64 e v)
99.3%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
98.2%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
4.6%
v
Compiler

Compiled 904 to 500 computations (44.7% saved)

simplify75.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) e)
cost-diff0
(sin.f64 v)
cost-diff128
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
cost-diff128
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
cost-diff256
(+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
cost-diff384
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
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
(cos.f64 v)
cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Rules
1456×fma-define
1126×fma-lowering-fma.f32
1126×fma-lowering-fma.f64
800×*-lowering-*.f32
800×*-lowering-*.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
023191
155167
2157167
3356166
4875164
51486160
61899156
72164154
82246154
92249154
102249154
02249154
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
v
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
1
e
v
(/ v (+ 1 (/ 1 e)))
v
(+ 1 (/ 1 e))
1
(/ 1 e)
e
(* v (+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))))
v
(+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))
(/ 1 (+ 1 (/ 1 e)))
1
(+ 1 (/ 1 e))
(/ 1 e)
e
(* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))
(* v v)
(+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))
(/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e)))
(/ 1/2 (+ 1 (/ 1 e)))
1/2
(/ -1/6 (+ 1 (/ 1 e)))
-1/6
(* 1 (/ (sin v) (/ 1 e)))
1
(/ (sin v) (/ 1 e))
(sin v)
v
(/ 1 e)
e
Outputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
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 (+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))
v
(+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ 1 (+ 1 (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
(* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))
(*.f64 (/.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
(+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)) e)))
(/ 1/2 (+ 1 (/ 1 e)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
1/2
#s(literal 1/2 binary64)
(/ -1/6 (+ 1 (/ 1 e)))
(/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
-1/6
#s(literal -1/6 binary64)
(* 1 (/ (sin v) (/ 1 e)))
(*.f64 (sin.f64 v) e)
1
#s(literal 1 binary64)
(/ (sin v) (/ 1 e))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e

localize159.0ms (1.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
accuracy100.0%
(sin.f64 v)
accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy99.4%
(/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy87.7%
(*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
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%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(cos.f64 v)
accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
108.0ms255×0valid
1.0ms2valid
Compiler

Compiled 233 to 24 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 17.0ms (36.8% of total)
ival-mult: 7.0ms (15.1% of total)
ival-sin: 6.0ms (13% of total)
ival-add: 5.0ms (10.8% of total)
ival-cos: 5.0ms (10.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.3%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (sin v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (+ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))>
#<alt (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))>
#<alt (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e)))>
#<alt (* v (+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))))>
#<alt (* 1 (/ (sin v) (/ 1 e)))>
#<alt (/ (sin v) (/ 1 e))>
#<alt (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))>
#<alt (/ -1/6 (+ 1 (/ 1 e)))>
#<alt (/ 1/2 (+ 1 (/ 1 e)))>
#<alt (/ 1 (+ 1 (/ 1 e)))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (/ 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 (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (* -7/6 (pow v 2))))) 1)))))>
#<alt (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (+ (* -7/6 (pow v 2)) (* e (- (* 5/3 (pow v 2)) 1)))))) 1)))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (/ 1 e))>
#<alt (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))) (/ 1 e))>
#<alt (- (+ 1 (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt (+ 1 (* 1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 11/6 (pow v 2))) e)) (* 4/3 (pow v 2)))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))>
#<alt (/ 1 (+ 1 (/ 1 e)))>
#<alt (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* -1/6 e)>
#<alt (* e (- (* 2/3 e) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))>
#<alt (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))>
#<alt (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))>
#<alt 1/3>
#<alt (- 1/3 (* 5/6 (/ 1 e)))>
#<alt (+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))>
#<alt (+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))>
#<alt (* 1/2 (pow e 2))>
#<alt (* (pow e 2) (+ 1/2 (* -1 e)))>
#<alt (* (pow e 2) (+ 1/2 (* e (- (* 3/2 e) 1))))>
#<alt (* (pow e 2) (+ 1/2 (* e (- (* e (+ 3/2 (* -2 e))) 1))))>
#<alt 1/2>
#<alt (- 1/2 (/ 1 e))>
#<alt (- (+ 1/2 (/ 3/2 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1/2 (/ 3/2 (pow e 2))) (+ (/ 1 e) (* 2 (/ 1 (pow e 3)))))>
#<alt 1/2>
#<alt (- 1/2 (/ 1 e))>
#<alt (+ 1/2 (* -1 (/ (- 1 (* 3/2 (/ 1 e))) e)))>
#<alt (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 2 (/ 1 e))) e))) e)))>
#<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))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 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 (* (pow v 3) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 3) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))>
#<alt (* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (* v (+ 1 (* -7/6 (pow v 2))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* e (+ (* e (+ (* e (+ (* e (* v (- (* 5/3 (pow v 2)) 1))) (* v (+ 1 (* -7/6 (pow v 2)))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e)))>
#<alt (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* -11/6 (pow v 2)) 1)) (pow e 3)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 5/6 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 4/3 (pow v 2)))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 11/6 (pow v 2)))) e)) (* v (+ 1 (* 4/3 (pow v 2))))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* 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 (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* -7/6 (* e (pow v 2))) (* 2/3 (pow v 2))))))>
#<alt (* e (+ (* -1/6 (pow v 2)) (* e (+ (* 2/3 (pow v 2)) (* e (+ (* -7/6 (pow v 2)) (* 5/3 (* e (pow v 2)))))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2)))))>
#<alt (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2))))))>
#<alt (* 1/3 (pow v 2))>
#<alt (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -4/3 (/ (pow v 2) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -11/6 (/ (pow v 2) e)) (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* e (- (* 1/6 e) 1/6))>
#<alt (* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))>
#<alt (* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))>
#<alt -1/6>
#<alt (- (* 1/6 (/ 1 e)) 1/6)>
#<alt (- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))>
#<alt (- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))>
#<alt -1/6>
#<alt (- (* 1/6 (/ 1 e)) 1/6)>
#<alt (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)>
#<alt (* 1/2 e)>
#<alt (* e (+ 1/2 (* -1/2 e)))>
#<alt (* e (+ 1/2 (* e (- (* 1/2 e) 1/2))))>
#<alt (* e (+ 1/2 (* e (- (* e (+ 1/2 (* -1/2 e))) 1/2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/2 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))>
#<alt (- (+ 1/2 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 e)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))>
#<alt (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
Calls

75 calls:

TimeVariablePointExpression
12.0ms
v
@-inf
(/ v (+ 1 (/ 1 e)))
1.0ms
v
@inf
(+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))
1.0ms
v
@0
(+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))
1.0ms
v
@inf
(/ v (+ 1 (/ 1 e)))
1.0ms
v
@0
(* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))

rewrite348.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3408×/-lowering-/.f32
3408×/-lowering-/.f64
2920×*-lowering-*.f32
2920×*-lowering-*.f64
1700×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023162
1156138
21685134
08350134
Stop Event
iter limit
node limit
Counts
17 → 548
Calls
Call 1
Inputs
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(+ (cos v) (/ 1 e))
(cos v)
(/ v (+ 1 (/ 1 e)))
(+ 1 (/ 1 e))
(/ 1 e)
(+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))))
(+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e))))
(/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e)))
(* v (+ (/ 1 (+ 1 (/ 1 e))) (* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))))
(* 1 (/ (sin v) (/ 1 e)))
(/ (sin v) (/ 1 e))
(* (* v v) (+ (/ (/ 1/2 (+ 1 (/ 1 e))) (+ 1 (/ 1 e))) (/ -1/6 (+ 1 (/ 1 e)))))
(/ -1/6 (+ 1 (/ 1 e)))
(/ 1/2 (+ 1 (/ 1 e)))
(/ 1 (+ 1 (/ 1 e)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v)))))
(neg.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v))))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64)) #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 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(*.f64 (/.f64 #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 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) #s(literal -1 binary64)))
(sin.f64 v)
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (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 #s(literal -1 binary64) (neg.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 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.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))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (+.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 (+.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 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (+.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 (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)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (neg.f64 (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 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(/.f64 (neg.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 (neg.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(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 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(*.f64 (/.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1/36 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1/36 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) (/.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))
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(/.f64 #s(literal -1/6 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (+.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) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 #s(literal 1 binary64) e))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))
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(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64)))

simplify308.0ms (3.5%)

Algorithm
egg-herbie
Rules
3310×*-lowering-*.f32
3310×*-lowering-*.f64
2726×+-lowering-+.f64
2726×+-lowering-+.f32
1804×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05533464
118783052
258943030
080693030
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(/ 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 (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (* -7/6 (pow v 2))))) 1)))))
(* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (+ (* -7/6 (pow v 2)) (* e (- (* 5/3 (pow v 2)) 1)))))) 1)))))
(+ 1 (* 1/3 (pow v 2)))
(- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (/ 1 e))
(- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))) (/ 1 e))
(- (+ 1 (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+ 1 (* 1/3 (pow v 2)))
(+ 1 (+ (* -1 (/ (+ 1 (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2))))
(+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))
(+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 11/6 (pow v 2))) e)) (* 4/3 (pow v 2)))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))
(/ 1 (+ 1 (/ 1 e)))
(+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* -1/6 e)
(* e (- (* 2/3 e) 1/6))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))
(* 1/2 (pow e 2))
(* (pow e 2) (+ 1/2 (* -1 e)))
(* (pow e 2) (+ 1/2 (* e (- (* 3/2 e) 1))))
(* (pow e 2) (+ 1/2 (* e (- (* e (+ 3/2 (* -2 e))) 1))))
1/2
(- 1/2 (/ 1 e))
(- (+ 1/2 (/ 3/2 (pow e 2))) (/ 1 e))
(- (+ 1/2 (/ 3/2 (pow e 2))) (+ (/ 1 e) (* 2 (/ 1 (pow e 3)))))
1/2
(- 1/2 (/ 1 e))
(+ 1/2 (* -1 (/ (- 1 (* 3/2 (/ 1 e))) e)))
(+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- 3/2 (* 2 (/ 1 e))) e))) e)))
(/ 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))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 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)))))
(* (pow v 3) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 3) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e))))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 3) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))
(* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))
(* -1 (* (pow v 3) (- (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (* (pow v 2) (+ 1 (/ 1 e)))))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (* v (+ 1 (* -7/6 (pow v 2))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (+ (* e (* v (- (* 5/3 (pow v 2)) 1))) (* v (+ 1 (* -7/6 (pow v 2)))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e)))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* -11/6 (pow v 2)) 1)) (pow e 3)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* -1 (/ (* v (+ 1 (* 5/6 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 4/3 (pow v 2)))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 11/6 (pow v 2)))) e)) (* v (+ 1 (* 4/3 (pow v 2))))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (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))
(* 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))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(* -1/6 (* e (pow v 2)))
(* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* -7/6 (* e (pow v 2))) (* 2/3 (pow v 2))))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* 2/3 (pow v 2)) (* e (+ (* -7/6 (pow v 2)) (* 5/3 (* e (pow v 2)))))))))
(* 1/3 (pow v 2))
(+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2)))))
(+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2))))))
(* 1/3 (pow v 2))
(+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (+ (* -4/3 (/ (pow v 2) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -11/6 (/ (pow v 2) e)) (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))
(* -1/6 e)
(* e (- (* 1/6 e) 1/6))
(* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))
(* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))
-1/6
(- (* 1/6 (/ 1 e)) 1/6)
(- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))
(- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))
-1/6
(- (* 1/6 (/ 1 e)) 1/6)
(- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)
(* 1/2 e)
(* e (+ 1/2 (* -1/2 e)))
(* e (+ 1/2 (* e (- (* 1/2 e) 1/2))))
(* e (+ 1/2 (* e (- (* e (+ 1/2 (* -1/2 e))) 1/2))))
1/2
(- 1/2 (* 1/2 (/ 1 e)))
(- (+ 1/2 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(- (+ 1/2 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
1/2
(- 1/2 (* 1/2 (/ 1 e)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
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 (/.f64 #s(literal 1/2 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 -1/6 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 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (/.f64 #s(literal 1/24 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 (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 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 #s(literal 1/2 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 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (/.f64 #s(literal 1/720 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 (*.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 (/.f64 #s(literal 1/24 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 (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 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 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1/24 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (/.f64 #s(literal 1/24 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 (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1/2 binary64)) (+.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 (cos.f64 v) (*.f64 e (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 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (*.f64 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 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (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 v (*.f64 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 (*.f64 v 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 (/ 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64))))))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(+ (cos v) (/ 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))
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(*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
(* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
(* -1/6 (* e (pow v 2)))
(*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))
(* e (+ (* -1/6 (pow v 2)) (* 2/3 (* e (pow v 2)))))
(*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* -7/6 (* e (pow v 2))) (* 2/3 (pow v 2))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal 2/3 binary64) (*.f64 e #s(literal -7/6 binary64)))))))
(* e (+ (* -1/6 (pow v 2)) (* e (+ (* 2/3 (pow v 2)) (* e (+ (* -7/6 (pow v 2)) (* 5/3 (* e (pow v 2)))))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 (*.f64 e e) (*.f64 (*.f64 v v) (+.f64 #s(literal -7/6 binary64) (*.f64 e #s(literal 5/3 binary64)))))))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 #s(literal -5/6 binary64) (/.f64 (*.f64 v v) e)))
(+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2)))))
(+.f64 (*.f64 #s(literal -5/6 binary64) (/.f64 (*.f64 v v) e)) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 (*.f64 v v) e) e))))
(+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (* 4/3 (/ (pow v 2) (pow e 2))))))
(+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -11/6 binary64)) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 #s(literal -5/6 binary64) (/.f64 (*.f64 v v) e)) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 (*.f64 v v) e) e)))))
(* 1/3 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/3 binary64))
(+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 #s(literal -5/6 binary64) (/.f64 (*.f64 v v) e)))
(+ (* -1 (/ (+ (* -4/3 (/ (pow v 2) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (*.f64 (/.f64 (*.f64 v v) e) #s(literal -4/3 binary64))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -11/6 (/ (pow v 2) e)) (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5/6 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -11/6 binary64)) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* e (- (* 1/6 e) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))
(* e (- (* e (+ 1/6 (* -1/6 e))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))
(* e (- (* e (+ 1/6 (* e (- (* 1/6 e) 1/6)))) 1/6))
(*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (+.f64 #s(literal 1/6 binary64) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/6 (/ 1 e)) 1/6)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(- (* 1/6 (/ 1 e)) (+ 1/6 (/ 1/6 (pow e 2))))
(+.f64 (/.f64 #s(literal 1/6 binary64) e) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 e e))))
(- (+ (* 1/6 (/ 1 e)) (* 1/6 (/ 1 (pow e 3)))) (+ 1/6 (/ 1/6 (pow e 2))))
(+.f64 (/.f64 #s(literal 1/6 binary64) e) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 e e)))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/6 (/ 1 e)) 1/6)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6)
(+.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)) e)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 e)) 1/6) e)) 1/6) e)) 1/6)
(+.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)) e))) e)))
(* 1/2 e)
(*.f64 e #s(literal 1/2 binary64))
(* e (+ 1/2 (* -1/2 e)))
(*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64))))
(* e (+ 1/2 (* e (- (* 1/2 e) 1/2))))
(*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 e #s(literal 1/2 binary64))))))
(* e (+ 1/2 (* e (- (* e (+ 1/2 (* -1/2 e))) 1/2))))
(*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 e (+.f64 #s(literal 1/2 binary64) (*.f64 e #s(literal -1/2 binary64))))))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e))
(- (+ 1/2 (/ 1/2 (pow e 2))) (* 1/2 (/ 1 e)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e)))
(- (+ 1/2 (/ 1/2 (pow e 2))) (+ (* 1/2 (/ 1 e)) (* 1/2 (/ 1 (pow e 3)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 e e)) (+.f64 (/.f64 #s(literal 1/2 binary64) e) (/.f64 #s(literal 1/2 binary64) (*.f64 e (*.f64 e e))))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 e)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e)) e))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 e))) e))) e)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) e)) e)) e))
e
(* e (+ 1 (* -1 e)))
(*.f64 e (-.f64 #s(literal 1 binary64) e))
(* e (+ 1 (* e (- e 1))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 e (-.f64 #s(literal 1 binary64) e))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e)) e))

eval190.0ms (2.2%)

Compiler

Compiled 41738 to 3962 computations (90.5% saved)

prune153.0ms (1.7%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1229191248
Fresh71118
Picked235
Done000
Total1238331271
Accuracy
100.0%
Counts
1271 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
98.2%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
50.8%
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
23.1%
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
50.8%
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
56.5%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
57.6%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
58.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
58.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
57.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
97.5%
(/.f64 e (*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e)))
75.0%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
2.5%
(-.f64 v (/.f64 v e))
97.8%
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
43.6%
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
49.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
56.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
98.4%
(*.f64 (sin.f64 v) e)
49.7%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
57.3%
(*.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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
57.5%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
56.2%
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
56.1%
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
56.2%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
56.6%
(*.f64 v e)
57.0%
(*.f64 e (-.f64 v (*.f64 e v)))
97.8%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
4.6%
v
Compiler

Compiled 1175 to 654 computations (44.3% saved)

simplify171.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
cost-diff128
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
cost-diff256
(/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
cost-diff512
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
cost-diff0
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 v e)
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
Rules
1564×fnmadd-define
1544×*-lowering-*.f32
1544×*-lowering-*.f64
1508×fma-define
1456×fma-lowering-fma.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
024116
161110
2151108
3436106
4726103
51072103
62063103
7463698
0840998
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sin v) e)
(sin v)
v
e
(* v e)
v
e
(* v (* e (+ 1 (* (* v v) -1/6))))
v
(* e (+ 1 (* (* v v) -1/6)))
e
(+ 1 (* (* v v) -1/6))
1
(* (* v v) -1/6)
(* v v)
-1/6
(* (/ 1 (- 1 (/ 1 (* e e)))) (/ v (/ 1 (+ 1 (/ -1 e)))))
(/ 1 (- 1 (/ 1 (* e e))))
1
(- 1 (/ 1 (* e e)))
(/ 1 (* e e))
(* e e)
e
(/ v (/ 1 (+ 1 (/ -1 e))))
v
(/ 1 (+ 1 (/ -1 e)))
(+ 1 (/ -1 e))
(/ -1 e)
-1
(/ e (/ 1 (sin v)))
e
(/ 1 (sin v))
1
(sin v)
v
Outputs
(* (sin v) e)
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
e
(* v e)
(*.f64 v e)
v
e
(* v (* e (+ 1 (* (* v v) -1/6))))
(*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
v
(* e (+ 1 (* (* v v) -1/6)))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
e
(+ 1 (* (* v v) -1/6))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -1/6)
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
-1/6
#s(literal -1/6 binary64)
(* (/ 1 (- 1 (/ 1 (* e e)))) (/ v (/ 1 (+ 1 (/ -1 e)))))
(/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/ 1 (- 1 (/ 1 (* e e))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
1
#s(literal 1 binary64)
(- 1 (/ 1 (* e e)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))
(/ 1 (* e e))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(* e e)
(*.f64 e e)
e
(/ v (/ 1 (+ 1 (/ -1 e))))
(-.f64 v (/.f64 v e))
v
(/ 1 (+ 1 (/ -1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(+ 1 (/ -1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
-1
#s(literal -1 binary64)
(/ e (/ 1 (sin v)))
(*.f64 (sin.f64 v) e)
e
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
v

localize166.0ms (1.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 v)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
accuracy99.7%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 e e))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
accuracy98.5%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
accuracy63.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
accuracy100.0%
(*.f64 v v)
accuracy99.9%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
accuracy99.4%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
accuracy88.2%
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
accuracy100.0%
(*.f64 v e)
accuracy100.0%
(sin.f64 v)
accuracy99.9%
(*.f64 (sin.f64 v) e)
Results
122.0ms256×0valid
Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 17.0ms (34.4% of total)
ival-mult: 17.0ms (34.4% of total)
ival-sin: 6.0ms (12.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
16 → 276
Calls
Call 1
Inputs
#<alt (* (sin v) e)>
#<alt (sin v)>
#<alt (* v e)>
#<alt (* v (* e (+ 1 (* (* v v) -1/6))))>
#<alt (* e (+ 1 (* (* v v) -1/6)))>
#<alt (+ 1 (* (* v v) -1/6))>
#<alt (* (* v v) -1/6)>
#<alt (* (/ 1 (- 1 (/ 1 (* e e)))) (/ v (/ 1 (+ 1 (/ -1 e)))))>
#<alt (/ v (/ 1 (+ 1 (/ -1 e))))>
#<alt (/ 1 (- 1 (/ 1 (* e e))))>
#<alt (- 1 (/ 1 (* e e)))>
#<alt (/ e (/ 1 (sin v)))>
#<alt (/ 1 (sin v))>
#<alt (* v v)>
#<alt (/ 1 (+ 1 (/ -1 e)))>
#<alt (/ 1 (* e e))>
Outputs
#<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 (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e v)))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))>
#<alt (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<alt (/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))>
#<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 (* -1 (/ v e))>
#<alt (/ (+ (* -1 v) (* e v)) e)>
#<alt (/ (+ (* -1 v) (* e v)) e)>
#<alt (/ (+ (* -1 v) (* e v)) e)>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ v e)))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (* -1 (pow e 2)) 1))>
#<alt (* (pow e 2) (- (* (pow e 2) (- (* -1 (pow e 2)) 1)) 1))>
#<alt (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (- (* -1 (pow e 2)) 1)) 1)) 1))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow e 2)))>
#<alt (+ 1 (+ (/ 1 (pow e 2)) (/ 1 (pow e 4))))>
#<alt (+ 1 (+ (/ 1 (pow e 2)) (+ (/ 1 (pow e 4)) (/ 1 (pow e 6)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (pow e 2)))>
#<alt (+ 1 (+ (/ 1 (pow e 2)) (/ 1 (pow e 4))))>
#<alt (+ 1 (+ (/ 1 (pow e 2)) (+ (/ 1 (pow e 4)) (/ 1 (pow e 6)))))>
#<alt (/ -1 (pow e 2))>
#<alt (/ (- (pow e 2) 1) (pow e 2))>
#<alt (/ (- (pow e 2) 1) (pow e 2))>
#<alt (/ (- (pow e 2) 1) (pow e 2))>
#<alt 1>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt 1>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt (- 1 (/ 1 (pow e 2)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* -1 e)>
#<alt (* e (- (* -1 e) 1))>
#<alt (* e (- (* e (- (* -1 e) 1)) 1))>
#<alt (* e (- (* e (- (* e (- (* -1 e) 1)) 1)) 1))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (/ 1 e) (/ 1 (pow e 2))))>
#<alt (+ 1 (+ (/ 1 e) (+ (/ 1 (pow e 2)) (/ 1 (pow e 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (/ 1 e) (/ 1 (pow e 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1) e)))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
#<alt (/ 1 (pow e 2))>
Calls

69 calls:

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

rewrite215.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
2656×/-lowering-/.f32
2656×/-lowering-/.f64
2570×*-lowering-*.f32
2570×*-lowering-*.f64
1192×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02489
114476
2109274
0917274
Stop Event
iter limit
node limit
Counts
16 → 525
Calls
Call 1
Inputs
(* (sin v) e)
(sin v)
(* v e)
(* v (* e (+ 1 (* (* v v) -1/6))))
(* e (+ 1 (* (* v v) -1/6)))
(+ 1 (* (* v v) -1/6))
(* (* v v) -1/6)
(* (/ 1 (- 1 (/ 1 (* e e)))) (/ v (/ 1 (+ 1 (/ -1 e)))))
(/ v (/ 1 (+ 1 (/ -1 e))))
(/ 1 (- 1 (/ 1 (* e e))))
(- 1 (/ 1 (* e e)))
(/ e (/ 1 (sin v)))
(/ 1 (sin v))
(* v v)
(/ 1 (+ 1 (/ -1 e)))
(/ 1 (* e e))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(neg.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 #s(literal -1 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) #s(literal -1 binary64)))
(sin.f64 v)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sin.f64 v) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1/2 binary64)))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 e e)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 e)))
(exp.f64 (*.f64 (log.f64 e) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) e)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 e (/.f64 #s(literal -1 binary64) e)))
(/.f64 (/.f64 #s(literal -1 binary64) e) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 #s(literal 1 binary64) e) e)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) e)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) e))
(pow.f64 e #s(literal -2 binary64))
(pow.f64 (*.f64 e e) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 e e) (*.f64 e e)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e e)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)))

simplify216.0ms (2.5%)

Algorithm
egg-herbie
Rules
2994×*-lowering-*.f32
2994×*-lowering-*.f64
1692×--lowering--.f32
1692×--lowering--.f64
1506×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701843
15301523
216551479
351291474
082701474
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 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)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* -1/6 (pow v 2)))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
v
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(/ (* v (- 1 (/ 1 e))) (- 1 (/ 1 (pow e 2))))
(* 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)))
(* -1 (/ v e))
(/ (+ (* -1 v) (* e v)) e)
(/ (+ (* -1 v) (* e v)) e)
(/ (+ (* -1 v) (* e v)) e)
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ v e)))
(* -1 (pow e 2))
(* (pow e 2) (- (* -1 (pow e 2)) 1))
(* (pow e 2) (- (* (pow e 2) (- (* -1 (pow e 2)) 1)) 1))
(* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (- (* -1 (pow e 2)) 1)) 1)) 1))
1
(+ 1 (/ 1 (pow e 2)))
(+ 1 (+ (/ 1 (pow e 2)) (/ 1 (pow e 4))))
(+ 1 (+ (/ 1 (pow e 2)) (+ (/ 1 (pow e 4)) (/ 1 (pow e 6)))))
1
(+ 1 (/ 1 (pow e 2)))
(+ 1 (+ (/ 1 (pow e 2)) (/ 1 (pow e 4))))
(+ 1 (+ (/ 1 (pow e 2)) (+ (/ 1 (pow e 4)) (/ 1 (pow e 6)))))
(/ -1 (pow e 2))
(/ (- (pow e 2) 1) (pow e 2))
(/ (- (pow e 2) 1) (pow e 2))
(/ (- (pow e 2) 1) (pow e 2))
1
(- 1 (/ 1 (pow e 2)))
(- 1 (/ 1 (pow e 2)))
(- 1 (/ 1 (pow e 2)))
1
(- 1 (/ 1 (pow e 2)))
(- 1 (/ 1 (pow e 2)))
(- 1 (/ 1 (pow e 2)))
(* 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))
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -1 e)
(* e (- (* -1 e) 1))
(* e (- (* e (- (* -1 e) 1)) 1))
(* e (- (* e (- (* e (- (* -1 e) 1)) 1)) 1))
1
(+ 1 (/ 1 e))
(+ 1 (+ (/ 1 e) (/ 1 (pow e 2))))
(+ 1 (+ (/ 1 e) (+ (/ 1 (pow e 2)) (/ 1 (pow e 3)))))
1
(+ 1 (/ 1 e))
(+ 1 (+ (/ 1 e) (/ 1 (pow e 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1) e)))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
(/ 1 (pow e 2))
Outputs
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.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 v v) (*.f64 e (+.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))
(* 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))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* -1/6 (* e (pow v 3)))
(*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* -1/6 (* e (pow v 3)))
(*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
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(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))
(/ 1 (pow e 2))
(/.f64 #s(literal 1 binary64) (*.f64 e e))

eval126.0ms (1.4%)

Compiler

Compiled 15490 to 1685 computations (89.1% saved)

prune113.0ms (1.3%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New81619835
Fresh101525
Picked145
Done033
Total82741868
Accuracy
100.0%
Counts
868 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
49.4%
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
25.8%
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
98.2%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
50.8%
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
56.5%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
57.6%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
26.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
27.3%
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
75.7%
(/.f64 e (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
57.5%
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
58.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
57.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
56.4%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
97.5%
(/.f64 e (*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e)))
73.8%
(/.f64 e (exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64))))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
26.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) v))
2.5%
(-.f64 v (/.f64 v e))
97.8%
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
3.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
25.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
56.2%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
56.1%
(*.f64 (*.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)))))) e)
98.4%
(*.f64 (sin.f64 v) e)
50.8%
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
57.5%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
56.2%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
56.6%
(*.f64 v e)
57.0%
(*.f64 e (-.f64 v (*.f64 e v)))
97.8%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
4.6%
v
Compiler

Compiled 1867 to 677 computations (63.7% saved)

regimes67.0ms (0.8%)

Counts
69 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) 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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 e (exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64))))
(/.f64 e (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(/.f64 e (*.f64 (+.f64 (/.f64 (cos.f64 v) (*.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (neg.f64 e)))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (/.f64 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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

21.0ms
v
20.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
17.0ms
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)

regimes39.0ms (0.4%)

Counts
57 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) 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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.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 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Calls

2 calls:

16.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes41.0ms (0.5%)

Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) 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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.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))))
Outputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

17.0ms
v
16.0ms
e
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.4%)

Counts
54 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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)))))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)))))
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(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) 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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

16.0ms
v
14.0ms
e
Results
AccuracySegmentsBranch
98.4%1e
98.4%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v))
Outputs
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v))
Calls

2 calls:

18.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
58.9%1e
58.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts
47 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64)))))) (-.f64 (/.f64 #s(literal 1 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 (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))) (*.f64 v (*.f64 v (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/6 binary64))))))))))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
Calls

2 calls:

14.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
58.8%1e
58.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 e (/.f64 #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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) 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 #s(literal 1/2 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 -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 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 -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))))))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
Calls

2 calls:

13.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
58.8%1e
58.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts
32 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v))
(/.f64 (-.f64 v (/.f64 v e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(/.f64 v (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(*.f64 (*.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)))))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(/.f64 v (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

12.0ms
v
9.0ms
e
Results
AccuracySegmentsBranch
57.7%1e
57.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

5.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
57.6%1e
57.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 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)))
Outputs
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
Calls

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
57.6%1e
57.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 v (*.f64 e v)))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
57.0%1e
57.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
56.6%1e
56.6%1v
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%1e
4.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify87.0ms (1%)

Algorithm
egg-herbie
Rules
634×unsub-neg_binary64
606×distribute-lft-neg-in_binary64
428×neg-mul-1_binary64
304×neg-sub0_binary64
280×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067232
1119232
2154232
3199232
4255232
5310232
6391232
7508232
8704232
9938232
101102232
111309232
121575232
131841232
142029232
152109232
162148232
172161232
182164232
192164232
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (+.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e #s(literal -1/2 binary64))))) (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (-.f64 (+.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))))))) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #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 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v

soundness1.5s (16.6%)

Rules
4222×*-lowering-*.f32
4222×*-lowering-*.f64
3940×*-lowering-*.f32
3940×*-lowering-*.f64
3560×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06956346
123215664
271875579
087575579
01951175
16301044
220181012
365891012
081641012
043256
1299245
23325237
08509237
0929
13627
225027
3241927
0896627
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 438 to 210 computations (52.1% saved)

preprocess79.0ms (0.9%)

Remove

(negabs v)

Compiler

Compiled 650 to 272 computations (58.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...