Trigonometry A

Time bar (total: 10.0s)

analyze11.0ms (0.1%)

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

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (22.3% of total)
ival-mult: 1.0ms (22.3% of total)
ival-sin: 1.0ms (22.3% of total)
ival-cos: 1.0ms (22.3% of total)
ival-<=: 1.0ms (22.3% of total)
ival-div: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (12.7%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 717.0ms
ival-sin: 215.0ms (30% of total)
ival-cos: 168.0ms (23.4% of total)
ival-mult: 132.0ms (18.4% of total)
ival-div: 62.0ms (8.7% of total)
ival-<=: 61.0ms (8.5% of total)
ival-add: 47.0ms (6.6% of total)
ival-and: 17.0ms (2.4% of total)
const: 11.0ms (1.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess129.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02972
17262
216761
343260
4121460
5244660
6368660
7408060
8451160
9533260
10586360
11627560
12647460
13654960
14656560
0911
11610
22110
32210
02210
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Call 2
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Outputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (fmsub e (cos v) -1))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(* (sin v) (/ e (fmsub e (cos v) 1)))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(/ (* e (sin v)) (fnmsub e (cos v) 1))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(* (sin v) (/ e (fnmsub e (cos v) -1)))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* e (sin v)) (fmsub e (cos v) -1))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
(/ (* v (sin e)) (fmsub v (cos e) -1))
Symmetry

(negabs v)

explain123.0ms (1.2%)

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
87.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 14.0ms (33.7% of total)
ival-cos: 10.0ms (24.1% of total)
ival-mult: 10.0ms (24.1% of total)
ival-div: 3.0ms (7.2% of total)
ival-add: 3.0ms (7.2% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune4.0ms (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)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize60.0ms (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))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
49.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36.1% of total)
ival-cos: 6.0ms (24.1% of total)
ival-sin: 6.0ms (24.1% of total)
ival-div: 2.0ms (8% of total)
ival-add: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (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
2.0ms
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))
1.0ms
e
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite311.0ms (3.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
13627
225027
3241927
0896727
Stop Event
1×iter limit
1×node limit
Counts
6 → 293
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.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))

simplify235.0ms (2.3%)

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

Useful iterations: 2 (0.0ms)

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

eval65.0ms (0.6%)

Compiler

Compiled 10326 to 1052 computations (89.8% saved)

prune50.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New40211413
Fresh000
Picked101
Done000
Total40311414
Accuracy
100.0%
Counts
414 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
47.3%
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
▶99.8%
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
▶99.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
▶54.2%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
▶99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
53.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 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))))))))
▶53.8%
(*.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))))))))))
99.1%
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
97.9%
(*.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 524 to 280 computations (46.6% saved)

simplify198.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 e (cos.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓cost-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-diff128
(+.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-diff128
(+.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-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-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
Rules
4012×*-lowering-*.f32
4012×*-lowering-*.f64
1746×+-lowering-+.f64
1746×+-lowering-+.f32
848×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052764
1164692
2578644
32328632
46396615
08112615
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (* e (sin v)) (- 1 (* e (cos v)))) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* (* e (sin v)) (- 1 (* e (cos v))))
(* e (sin v))
e
(sin v)
v
(- 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* e e)
(+ 1/2 (* 1/2 (cos (* 2 v))))
1/2
(* 1/2 (cos (* 2 v)))
(cos (* 2 v))
(* 2 v)
2
(/ (* 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))
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
Outputs
(/ (* (* e (sin v)) (- 1 (* e (cos v)))) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(* (* e (sin v)) (- 1 (* e (cos v))))
(*.f64 (sin.f64 v) (*.f64 e (-.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)
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))
(* e e)
(*.f64 e e)
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 v)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(* 2 v)
(*.f64 v #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* 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 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.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 #s(literal -1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 e #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 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.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 #s(literal -1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.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 #s(literal -1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 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 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal -1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.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 #s(literal -1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(/.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/ (* e -1/6) (+ e 1))
(*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.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 v (*.f64 v (*.f64 e (+.f64 (+.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 #s(literal -1 binary64) e))) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(*.f64 e (+.f64 (+.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 #s(literal -1 binary64) e))) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(*.f64 e (+.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 #s(literal -1 binary64) e))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 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 #s(literal -1 binary64) e)))
(/ 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 #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)))
(* -1/2 (+ (/ (* 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 1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 e #s(literal 1 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)))
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)

localize393.0ms (3.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(*.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))
✓accuracy99.4%
(*.f64 e #s(literal -1/6 binary64))
✓accuracy89.2%
(*.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)))
✓accuracy99.9%
(*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
Results
256.0ms256×0valid
Compiler

Compiled 840 to 53 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 33.0ms (35.2% of total)
ival-div: 19.0ms (20.3% of total)
...c/correct-round.rkt:119:19: 11.0ms (11.7% of total)
ival-cos: 10.0ms (10.7% of total)
ival-add: 8.0ms (8.5% of total)
ival-sin: 7.0ms (7.5% of total)
ival-sub: 4.0ms (4.3% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.6%)

Counts
23 → 432
Calls
Call 1
Inputs
#<alt (/ (* (* e (sin v)) (- 1 (* e (cos v)))) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* (* e (sin v)) (- 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin 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))))>
#<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 (- (/ 1/120 (+ 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 (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
#<alt (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))>
#<alt (cos v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))>
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#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (pow e 2)>
#<alt (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))>
#<alt (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* 1/120 e)>
#<alt (* e (+ 1/120 (* -11/120 e)))>
#<alt (* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))>
#<alt (* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))>
#<alt (+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))>
#<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

108 calls:

TimeVariablePointExpression
6.0ms
v
@-inf
(/ (+ 1 (* e (cos v))) (sin v))
5.0ms
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))))))
4.0ms
e
@-inf
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
3.0ms
e
@inf
(* (* e (sin v)) (- 1 (* e (cos v))))
2.0ms
v
@0
(/ (* (* e (sin v)) (- 1 (* e (cos v)))) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))

rewrite360.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3702×*-lowering-*.f32
3702×*-lowering-*.f64
2504×fma-lowering-fma.f32
2504×fma-lowering-fma.f64
1734×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048329
1319279
23601268
08135268
Stop Event
1×iter limit
1×node limit
Counts
23 → 497
Calls
Call 1
Inputs
(/ (* (* e (sin v)) (- 1 (* e (cos v)))) (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* (* e (sin v)) (- 1 (* e (cos v))))
(* e (sin v))
(sin v)
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ 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 (- (/ 1/120 (+ 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))))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(/ (* e (sin v)) (+ e 1))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(cos 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 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(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 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/.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 #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 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(/.f64 (-.f64 #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 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (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 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 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 (*.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(*.f64 e (/.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(*.f64 (-.f64 #s(literal 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 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 e (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(*.f64 (/.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(+.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(fma.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (*.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 (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
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(/.f64 (*.f64 e (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) e) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (+.f64 e #s(literal 1 binary64))))) e) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))) e) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 e (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) e)
(cos.f64 v)

simplify394.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
5762×*-lowering-*.f32
5762×*-lowering-*.f64
4008×+-lowering-+.f64
4008×+-lowering-+.f32
1914×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08126313
127765540
085275540
Stop Event
1×iter limit
1×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 (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 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)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* -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)))
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (+ (* -2/15 (pow v 2)) (* e (- (* 61/120 (pow v 2)) 7/6)))))) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (+ (* -2/15 (pow v 2)) (* e (- (+ (* 61/120 (pow v 2)) (* e (+ 5/3 (* -17/15 (pow v 2))))) 7/6)))))) 1/6))
(+ 1/3 (* 2/15 (pow v 2)))
(- (+ 1/3 (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (+ (* 17/15 (/ (pow v 2) (pow e 2))) (/ 4/3 (pow e 2)))))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (+ (* -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))) (/ 4/3 (pow e 2))))))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
(+ 1/3 (* 2/15 (pow v 2)))
(+ 1/3 (+ (* -1 (/ (+ 5/6 (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2))))
(+ 1/3 (+ (* -1 (/ (+ 5/6 (+ (* -1 (/ (+ 4/3 (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2)))) e)) (* 2/15 (pow v 2))))
(+ 1/3 (+ (* -1 (/ (+ 5/6 (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (+ 11/6 (* 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 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))))
(+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (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) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 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) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* 1/120 e)
(* e (+ 1/120 (* -2/15 e)))
(* e (+ 1/120 (* e (- (* 61/120 e) 2/15))))
(* e (+ 1/120 (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15))))
2/15
(- 2/15 (* 61/120 (/ 1 e)))
(- (+ 2/15 (/ 17/15 (pow e 2))) (* 61/120 (/ 1 e)))
(- (+ 2/15 (/ 17/15 (pow e 2))) (+ (* 61/120 (/ 1 e)) (* 241/120 (/ 1 (pow e 3)))))
2/15
(- 2/15 (* 61/120 (/ 1 e)))
(+ 2/15 (* -1 (/ (- 61/120 (* 17/15 (/ 1 e))) e)))
(+ 2/15 (* -1 (/ (+ 61/120 (* -1 (/ (- 17/15 (* 241/120 (/ 1 e))) e))) e)))
(* 1/12 e)
(* e (+ 1/12 (* -1/3 e)))
(* e (+ 1/12 (* e (- (* 7/12 e) 1/3))))
(* e (+ 1/12 (* e (- (* e (+ 7/12 (* -5/6 e))) 1/3))))
-1/6
(- (* 5/12 (/ 1 e)) 1/6)
(- (* 5/12 (/ 1 e)) (+ 1/6 (/ 2/3 (pow e 2))))
(- (+ (* 5/12 (/ 1 e)) (* 11/12 (/ 1 (pow e 3)))) (+ 1/6 (/ 2/3 (pow e 2))))
-1/6
(- (* 5/12 (/ 1 e)) 1/6)
(- (* -1 (/ (- (* 2/3 (/ 1 e)) 5/12) e)) 1/6)
(- (* -1 (/ (- (* -1 (/ (- (* 11/12 (/ 1 e)) 2/3) e)) 5/12) e)) 1/6)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* 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))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (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))
(* 1/120 e)
(* e (+ 1/120 (* -11/120 e)))
(* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))
(* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
(+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))
(+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(*.f64 e (+.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (-.f64 #s(literal 0 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (*.f64 e e))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
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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)))))))
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(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
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(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
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(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
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(* 1/120 e)
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2/15
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2/15
#s(literal 2/15 binary64)
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#s(literal -1/6 binary64)
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(/ (sin v) (cos v))
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(/ (sin v) (cos v))
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(cos.f64 v)
(cos v)
(cos.f64 v)

eval263.0ms (2.6%)

Compiler

Compiled 92356 to 6057 computations (93.4% saved)

prune151.0ms (1.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1498201518
Fresh246
Picked325
Done000
Total1503261529
Accuracy
100.0%
Counts
1529 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
47.3%
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
53.8%
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
▶54.2%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓54.2%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
55.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
▶55.1%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
55.1%
(/.f64 e (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
▶98.8%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
54.1%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
2.4%
(-.f64 v (/.f64 v e))
99.0%
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
98.6%
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
53.8%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
97.9%
(*.f64 e (sin.f64 v))
53.1%
(*.f64 e v)
▶99.6%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
5.9%
(sin.f64 v)
▶4.6%
v
Compiler

Compiled 892 to 513 computations (42.5% saved)

simplify162.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff0
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff128
(-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))
✓cost-diff256
(+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))
✓cost-diff256
(-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64))))
✓cost-diff256
(+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 e e))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓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))))
Rules
2978×+-lowering-+.f64
2978×+-lowering-+.f32
2286×*-lowering-*.f32
2286×*-lowering-*.f64
1722×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041423
1125384
2413330
31687284
08342284
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 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
v
(/ (* e v) (/ (- 1 (* e e)) (- 1 e)))
(* e v)
e
v
(/ (- 1 (* e e)) (- 1 e))
(- 1 (* e e))
1
(* e e)
(- 1 e)
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))))
(+ e 1)
1
(* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))
v
(* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))
(* e -1/2)
-1/2
(+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))))
(* v v)
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(* e 1/24)
1/24
(+ 1/120 (* e 1/120))
1/120
(* e 1/120)
(* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))
-1/6
(+ (* e -1/2) (* 1/6 (+ e 1)))
(* 1/6 (+ e 1))
1/6
(/ e (/ (+ e 1) (sin v)))
e
(/ (+ e 1) (sin v))
(+ e 1)
1
(sin v)
v
Outputs
(* 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
v
(/ (* e v) (/ (- 1 (* e e)) (- 1 e)))
(/.f64 (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 1 binary64) (*.f64 e e)))
(* e v)
(*.f64 v e)
e
v
(/ (- 1 (* e e)) (- 1 e))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(- 1 (* e e))
(-.f64 #s(literal 1 binary64) (*.f64 e e))
1
#s(literal 1 binary64)
(* e e)
(*.f64 e e)
(- 1 e)
(-.f64 #s(literal 1 binary64) e)
(/ e (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v))
(/.f64 (*.f64 v e) (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64)))))))
e
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64)))))) v)
(+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64))))))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64)))))
v
(* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))
(*.f64 v (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64)))))
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal -1/3 binary64))))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))) (*.f64 e #s(literal 1/6 binary64))))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))))
(*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64))))
(* v v)
(*.f64 v v)
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))
(-.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 (*.f64 e #s(literal 1/18 binary64)) #s(literal -7/360 binary64)))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))
(* e 1/24)
(*.f64 e #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/120 (* e 1/120))
(-.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(* e 1/120)
(*.f64 e #s(literal 1/120 binary64))
(* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))
(+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal 1/18 binary64)))
-1/6
#s(literal -1/6 binary64)
(+ (* e -1/2) (* 1/6 (+ e 1)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* 1/6 (+ e 1))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(/ e (/ (+ e 1) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e))
e
(/ (+ e 1) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) e) (sin.f64 v))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
v

localize234.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy99.8%
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))
✓accuracy99.7%
(*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))
✓accuracy99.4%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy96.4%
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(*.f64 e e)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
161.0ms256×0valid
Compiler

Compiled 486 to 42 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 21.0ms (27.9% of total)
...c/correct-round.rkt:119:19: 15.0ms (19.9% of total)
ival-div: 13.0ms (17.3% of total)
ival-add: 8.0ms (10.6% of total)
ival-sin: 7.0ms (9.3% of total)
ival-sub: 5.0ms (6.6% of total)
ival-cos: 5.0ms (6.6% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
21 → 384
Calls
Call 1
Inputs
#<alt (* 1 (/ (sin v) (+ (cos v) (/ 1 e))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (sin v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (* e v) (/ (- 1 (* e e)) (- 1 e)))>
#<alt (* e v)>
#<alt (/ (- 1 (* e e)) (- 1 e))>
#<alt (- 1 (* e e))>
#<alt (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))>
#<alt (- (* e 1/24) (+ 1/120 (* e 1/120)))>
#<alt (+ (* e -1/2) (* 1/6 (+ e 1)))>
#<alt (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))>
#<alt (/ e (/ (+ e 1) (sin v)))>
#<alt (/ (+ e 1) (sin v))>
#<alt (+ e 1)>
#<alt (cos v)>
#<alt (* e e)>
#<alt (/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v)>
#<alt (* e 1/24)>
#<alt (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))>
#<alt (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (/ v (+ 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 (* 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 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow e 2)))>
#<alt (+ 1 (* -1 (pow e 2)))>
#<alt (+ 1 (* -1 (pow e 2)))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (* (pow e 2) (- (/ 1 (pow e 2)) 1))>
#<alt (+ 1/6 (* 7/360 (pow v 2)))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (* e (- (* -1/45 (pow v 2)) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))>
#<alt (* -1 (* e (+ 1/3 (* 1/45 (pow v 2)))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))>
#<alt (+ (* -1/2 e) (* 1/6 (+ 1 e)))>
#<alt (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))>
#<alt (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))>
#<alt (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt -1/120>
#<alt (- (* 1/30 e) 1/120)>
#<alt (- (* 1/30 e) 1/120)>
#<alt (- (* 1/30 e) 1/120)>
#<alt (* 1/30 e)>
#<alt (* e (- 1/30 (* 1/120 (/ 1 e))))>
#<alt (* e (- 1/30 (* 1/120 (/ 1 e))))>
#<alt (* e (- 1/30 (* 1/120 (/ 1 e))))>
#<alt (* 1/30 e)>
#<alt (* -1 (* e (- (* 1/120 (/ 1 e)) 1/30)))>
#<alt (* -1 (* e (- (* 1/120 (/ 1 e)) 1/30)))>
#<alt (* -1 (* e (- (* 1/120 (/ 1 e)) 1/30)))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (* -1/3 e)>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1/3 e)>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt 7/360>
#<alt (+ 7/360 (* -1/45 e))>
#<alt (+ 7/360 (* -1/45 e))>
#<alt (+ 7/360 (* -1/45 e))>
#<alt (* -1/45 e)>
#<alt (* e (- (* 7/360 (/ 1 e)) 1/45))>
#<alt (* e (- (* 7/360 (/ 1 e)) 1/45))>
#<alt (* e (- (* 7/360 (/ 1 e)) 1/45))>
#<alt (* -1/45 e)>
#<alt (* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ e (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ e (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ e (sin v)))>
#<alt (/ e (sin v))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (/ e (sin v))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/5040 (+ 1 e)) (+ (* 1/720 (+ 1 e)) (* 1/6 (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e)))))))) (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e))))) (* -1/6 (+ 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))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt 1>
#<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 (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v)>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 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) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))))) v)>
#<alt (* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (/ (+ 1 e) (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (/ (+ 1 e) (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1 e) (pow v 4))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1 e) (pow v 4))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2)))))))>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* v (+ (* -1/2 e) (* 1/6 (+ 1 e))))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))>
#<alt (* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))>
#<alt (* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))>
#<alt (* v (+ 1/6 (* 7/360 (pow v 2))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))>
#<alt (* e (* v (- (* -1/45 (pow v 2)) 1/3)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))>
#<alt (* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))>
#<alt (* 7/360 (pow v 2))>
#<alt (+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))>
#<alt (+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))>
#<alt (+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))>
#<alt (* -1/45 (* e (pow v 2)))>
#<alt (* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))>
#<alt (* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))>
#<alt (* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))>
#<alt (* -1/45 (* e (pow v 2)))>
#<alt (* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))>
Calls

96 calls:

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

rewrite318.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
2768×*-lowering-*.f32
2768×*-lowering-*.f64
2528×fma-lowering-fma.f32
2528×fma-lowering-fma.f64
1978×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040236
1294201
23033201
08241201
Stop Event
1×iter limit
1×node limit
Counts
21 → 475
Calls
Call 1
Inputs
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(+ (cos v) (/ 1 e))
(/ (* e v) (/ (- 1 (* e e)) (- 1 e)))
(* e v)
(/ (- 1 (* e e)) (- 1 e))
(- 1 (* e e))
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(+ (* e -1/2) (* 1/6 (+ e 1)))
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))
(/ e (/ (+ e 1) (sin v)))
(/ (+ e 1) (sin v))
(+ e 1)
(cos v)
(* e e)
(/ (+ (+ e 1) (* v (* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1))))))) v)
(* e 1/24)
(* v (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1)))))) (* 1/6 (+ e 1)))))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ e 1))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (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 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
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(/.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64)))) (*.f64 (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)))))) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64)))) (*.f64 (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64))))) (*.f64 v v)) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)))))
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(*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)))))
(*.f64 (-.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)))) (*.f64 v v))
(*.f64 (*.f64 v (-.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/120 binary64))) (+.f64 (*.f64 e #s(literal 1/12 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64))))) v)

simplify286.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3694×*-lowering-*.f32
3694×*-lowering-*.f64
2362×+-lowering-+.f64
2362×+-lowering-+.f32
1916×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04604950
115974422
256384319
080994319
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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 (+ 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)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
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(* e (sin v))
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(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(/ (sin v) (cos v))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
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(sin v)
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(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
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(cos v)
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(cos v)
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(* e v)
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(* e (+ v (* e (+ (* -1 v) (* e v)))))
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v
(+ v (* -1 (/ v e)))
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(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
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(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
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(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
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(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(* e v)
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1
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e
(* e (+ 1 (/ 1 e)))
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e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
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(* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
-1/120
(- (* 1/30 e) 1/120)
(- (* 1/30 e) 1/120)
(- (* 1/30 e) 1/120)
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(* e (- 1/30 (* 1/120 (/ 1 e))))
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(* -1 (* e (- (* 1/120 (/ 1 e)) 1/30)))
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(* -1 (* e (- (* 1/120 (/ 1 e)) 1/30)))
1/6
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(* -1/3 e)
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(* -1/3 e)
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))
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(* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))
7/360
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(* e (- (* 7/360 (/ 1 e)) 1/45))
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(* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))
(* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))
(* -1 (* e (- 1/45 (* 7/360 (/ 1 e)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
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(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
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(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
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(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 e))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ e (sin v)))
(+ (/ 1 (sin v)) (/ e (sin v)))
(+ (/ 1 (sin v)) (/ e (sin v)))
(/ e (sin v))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(/ e (sin v))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(* e (+ (/ 1 (sin v)) (/ 1 (* e (sin v)))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/5040 (+ 1 e)) (+ (* 1/720 (+ 1 e)) (* 1/6 (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e)))))))) (+ (* -1/36 (+ 1 e)) (* 1/120 (+ 1 e))))) (* -1/6 (+ 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))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))
(+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))
(/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v)
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 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) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))))))) v)
(* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (/ (+ 1 e) (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (+ (* 1/6 (/ (+ 1 e) (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4)))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1 e) (pow v 4))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2)))))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1 e) (pow v 4))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2)))))))
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* 1/24 e)
(* v (+ (* -1/2 e) (* 1/6 (+ 1 e))))
(* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))
(* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))
(* v (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))))
(* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(* v (+ 1/6 (* 7/360 (pow v 2))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(* e (* v (- (* -1/45 (pow v 2)) 1/3)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(* 7/360 (pow v 2))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(* -1/45 (* e (pow v 2)))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(* -1/45 (* e (pow v 2)))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(* e (sin v))
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(* 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))))))
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(/ (sin v) (cos v))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))
(/ (sin v) (cos v))
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(*.f64 (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))) (*.f64 v (*.f64 v v)))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v v)) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))) (*.f64 v (*.f64 v v)))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v v)) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))) (*.f64 v (*.f64 v v)))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* 1/24 e) (* 1/6 (/ (+ 1 e) (pow v 2))))) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 v v)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v v)) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))) (*.f64 v (*.f64 v v)))
(* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))) (*.f64 v (*.f64 v v)))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64)))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64)))) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))) (* -1 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) #s(literal -1 binary64))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64)))) (neg.f64 (*.f64 v (*.f64 v v))))
(* v (+ 1/6 (* 7/360 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(+ (* e (* v (- (* -1/45 (pow v 2)) 1/3))) (* v (+ 1/6 (* 7/360 (pow v 2)))))
(+.f64 (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))) (*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))
(* e (* v (- (* -1/45 (pow v 2)) 1/3)))
(*.f64 (*.f64 v e) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))
(*.f64 e (*.f64 v (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) e))))
(* -1 (* e (* v (+ 1/3 (* 1/45 (pow v 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) v)
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) (/.f64 v e))) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) (/.f64 v e))) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1 (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)) (* v (+ 1/3 (* 1/45 (pow v 2)))))))
(*.f64 (-.f64 (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))) (/.f64 v e))) (-.f64 #s(literal 0 binary64) e))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* (pow v 2) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))
(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/12 binary64))) (+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal -1/36 binary64))))) (*.f64 e #s(literal 1/120 binary64))))
(* 7/360 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 7/360 binary64))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/45 binary64))))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/45 binary64))))
(+ (* -1/45 (* e (pow v 2))) (* 7/360 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/45 binary64))))
(* -1/45 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/45 binary64)))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 7/360 binary64)) e)))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 7/360 binary64)) e)))
(* e (+ (* -1/45 (pow v 2)) (* 7/360 (/ (pow v 2) e))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 7/360 binary64)) e)))
(* -1/45 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/45 binary64)))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -7/360 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -7/360 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -7/360 (/ (pow v 2) e)) (* 1/45 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -7/360 binary64)) e)) (-.f64 #s(literal 0 binary64) e))

eval165.0ms (1.6%)

Compiler

Compiled 40319 to 4275 computations (89.4% saved)

prune129.0ms (1.3%)

Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1048211069
Fresh81119
Picked325
Done112
Total1060351095
Accuracy
100.0%
Counts
1095 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
6.0%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
48.5%
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
53.8%
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
▶99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
54.1%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
98.8%
(/.f64 e (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))) (sin.f64 v)))
▶55.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
54.9%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
55.2%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
55.3%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
54.7%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
53.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.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)))))))))
✓98.8%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
54.1%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
54.0%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
✓99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
▶55.3%
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
4.4%
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
2.4%
(-.f64 v (/.f64 v e))
29.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
▶53.1%
(*.f64 v e)
▶98.6%
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
53.8%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
97.9%
(*.f64 e (sin.f64 v))
99.4%
(*.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))))
69.9%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
35.3%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (cos.f64 v) e))))))
97.7%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
5.9%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 1302 to 780 computations (40.1% saved)

simplify181.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))
✓cost-diff0
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v)
✓cost-diff0
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
✓cost-diff256
(+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))
✓cost-diff0
(+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
✓cost-diff128
(/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v)
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Rules
2080×*-lowering-*.f32
2080×*-lowering-*.f64
1832×sum4-define
1664×+-lowering-+.f64
1664×+-lowering-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030190
185180
2258170
3746165
41920164
53038162
64332162
77397162
08006162
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
v
(+ (/ 1 e) (cos v))
(/ 1 e)
1
e
(cos v)
(* v e)
v
e
(/ e (/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v))
e
(/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v)
(* (+ (* v (* v 1/6)) 1) (+ 1 e))
(+ (* v (* v 1/6)) 1)
(* v (* v 1/6))
v
(* v 1/6)
1/6
1
(+ 1 e)
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))
e
(/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v)
(+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1)))))
(+ e 1)
1
(* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))
(* v v)
v
(+ (* e -1/2) (* 1/6 (+ e 1)))
(* e -1/2)
-1/2
(* 1/6 (+ e 1))
1/6
(* e (* (sin v) (- 1 e)))
e
(* (sin v) (- 1 e))
(sin v)
v
(- 1 e)
1
Outputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (/ 1 e) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(cos v)
(cos.f64 v)
(* v e)
(*.f64 v e)
v
e
(/ e (/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 v #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) v)))
e
(/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v)
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 (*.f64 v #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) v)))
(* (+ (* v (* v 1/6)) 1) (+ 1 e))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))
(+ (* v (* v 1/6)) 1)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))
(* v (* v 1/6))
(*.f64 #s(literal 1/6 binary64) (*.f64 v v))
v
(* v 1/6)
(*.f64 v #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v))
e
(/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) v)
(+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1)))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))))
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (* 1/6 (+ e 1)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* 1/6 (+ e 1))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* e (* (sin v) (- 1 e)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) e)))
e
(* (sin v) (- 1 e))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))
(sin v)
(sin.f64 v)
v
(- 1 e)
(-.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)

localize164.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))
✓accuracy99.8%
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))
✓accuracy79.1%
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v)
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal 1/6 binary64)))
✓accuracy99.8%
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
✓accuracy99.5%
(*.f64 v #s(literal 1/6 binary64))
✓accuracy79.1%
(/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v)
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Results
120.0ms256×0valid
Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 16.0ms (30.7% of total)
ival-div: 10.0ms (19.2% of total)
ival-add: 8.0ms (15.3% of total)
ival-sin: 7.0ms (13.4% of total)
ival-cos: 5.0ms (9.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.7% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.4%)

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

99 calls:

TimeVariablePointExpression
15.0ms
e
@-inf
(* e (* (sin v) (- 1 e)))
2.0ms
e
@0
(/ e (/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v))
1.0ms
v
@inf
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))
1.0ms
e
@-inf
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))
1.0ms
e
@inf
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))

rewrite385.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4044×*-lowering-*.f32
4044×*-lowering-*.f64
2834×/-lowering-/.f32
2834×/-lowering-/.f64
2160×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030160
1197150
21953150
08614150
Stop Event
1×iter limit
1×node limit
Counts
21 → 667
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(* v e)
(/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v)
(/ e (/ (* (+ (* v (* v 1/6)) 1) (+ 1 e)) v))
(* (+ (* v (* v 1/6)) 1) (+ 1 e))
(+ (* v (* v 1/6)) 1)
(+ (* e -1/2) (* 1/6 (+ e 1)))
(/ e (/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v))
(/ (+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))) v)
(+ (+ e 1) (* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1)))))
(* e (* (sin v) (- 1 e)))
(* (sin v) (- 1 e))
(- 1 e)
(cos v)
(* v 1/6)
(* v (* v 1/6))
(* (* v v) (+ (* e -1/2) (* 1/6 (+ e 1))))
(* 1/6 (+ e 1))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin.f64 v)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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) (-.f64 #s(literal 0 binary64) e)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (+.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)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 e)))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(pow.f64 e #s(literal -1 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) #s(literal -1 binary64))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 v e)
(*.f64 e v)
(exp.f64 (*.f64 (log.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) v)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) #s(literal 1 binary64))
(pow.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) v))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e))) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 0 binary64) v))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)) #s(literal 1 binary64)))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(/.f64 (*.f64 v e) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
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(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))
(*.f64 #s(literal 1/6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 1/6 binary64)) v)
(*.f64 (*.f64 v #s(literal 1/6 binary64)) (*.f64 v #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 1/6 binary64))
(+.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v v)) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 e (*.f64 v v)) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 v v) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 v v) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/2 binary64)) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) v) v (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) v) v (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(fma.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/6 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64))))) (+.f64 (*.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (-.f64 (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) (*.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (-.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/36 binary64)))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/216 binary64))) (*.f64 v v)) (+.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64))))))
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(*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))
(*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))
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(*.f64 (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))) v)
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(+.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) #s(literal 1/216 binary64)) (+.f64 (*.f64 (*.f64 e #s(literal 1/6 binary64)) (*.f64 e #s(literal 1/6 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal 1/6 binary64)))))
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(/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
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(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 e e) #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (+.f64 (*.f64 e e) #s(literal -1 binary64)) #s(literal 1/6 binary64)) (+.f64 e #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))
(*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))

simplify322.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
5556×*-lowering-*.f32
5556×*-lowering-*.f64
2784×+-lowering-+.f64
2784×+-lowering-+.f32
1684×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06115273
121474490
276524483
084244483
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
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(/ (+ 1 e) v)
(/ (+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e))))) v)
(/ (+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e))))) v)
(/ (+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e))))) v)
(* 1/6 (* v (+ 1 e)))
(* v (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* v (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* v (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* 1/6 (* v (+ 1 e)))
(* -1 (* v (+ (* -1 (/ (+ 1 e) (pow v 2))) (* -1/6 (+ 1 e)))))
(* -1 (* v (+ (* -1 (/ (+ 1 e) (pow v 2))) (* -1/6 (+ 1 e)))))
(* -1 (* v (+ (* -1 (/ (+ 1 e) (pow v 2))) (* -1/6 (+ 1 e)))))
(/ (+ 1 (* 1/6 (pow v 2))) v)
(+ (* 1/6 v) (+ (* e (+ (* 1/6 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* 1/6 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* 1/6 v) (/ 1 v))) (/ 1 v)))
(/ (* e (+ 1 (* 1/6 (pow v 2)))) v)
(* e (+ (* 1/6 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* 1/6 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* 1/6 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(/ (* e (+ 1 (* 1/6 (pow v 2)))) v)
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) v)) (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)))))
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) v)) (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)))))
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) v)) (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(* e (+ (* -1 (/ (* e v) (+ 1 (* 1/6 (pow v 2))))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(* e (+ (* e (- (/ (* e v) (+ 1 (* 1/6 (pow v 2)))) (/ v (+ 1 (* 1/6 (pow v 2)))))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(* e (+ (* e (- (* e (- (* -1 (/ (* e v) (+ 1 (* 1/6 (pow v 2))))) (* -1 (/ v (+ 1 (* 1/6 (pow v 2))))))) (/ v (+ 1 (* 1/6 (pow v 2)))))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(/ v (+ 1 (* 1/6 (pow v 2))))
(+ (* -1 (/ v (* e (+ 1 (* 1/6 (pow v 2)))))) (/ v (+ 1 (* 1/6 (pow v 2)))))
(- (+ (/ v (* (pow e 2) (+ 1 (* 1/6 (pow v 2))))) (/ v (+ 1 (* 1/6 (pow v 2))))) (/ v (* e (+ 1 (* 1/6 (pow v 2))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ v (* e (+ 1 (* 1/6 (pow v 2)))))) (/ 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 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (* 1/36 (/ (* e (pow v 2)) (+ 1 e))) (* 1/6 (/ e (+ 1 e))))) (/ e (+ 1 e))))
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(* 6 (/ e (* v (+ 1 e))))
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(/ (- (+ (* -1296 (/ e (* (pow v 6) (+ 1 e)))) (* 6 (/ e (+ 1 e)))) (+ (* -216 (/ e (* (pow v 4) (+ 1 e)))) (* 36 (/ e (* (pow v 2) (+ 1 e)))))) v)
(* 6 (/ e (* v (+ 1 e))))
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(* -1 (/ (+ (* -216 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -6 (/ e (+ 1 e))) (* 36 (/ e (* (pow v 2) (+ 1 e)))))) v))
(* -1 (/ (+ (* -216 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -6 (/ e (+ 1 e))) (+ (* 36 (/ e (* (pow v 2) (+ 1 e)))) (* 1296 (/ e (* (pow v 6) (+ 1 e))))))) v))
(+ 1 e)
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(+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e)))))
(+ 1 (+ e (* 1/6 (* (pow v 2) (+ 1 e)))))
(* 1/6 (* (pow v 2) (+ 1 e)))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* 1/6 (* (pow v 2) (+ 1 e)))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(* (pow v 2) (+ (* 1/6 (+ 1 e)) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(+ 1 (* 1/6 (pow v 2)))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* 1/6 (pow v 2))))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* 1/6 (pow v 2))))))
(+ 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)) (+ (* 1/6 (pow v 2)) (/ 1 e)))))
(* e (+ 1 (+ (* 1/6 (/ (pow v 2) e)) (+ (* 1/6 (pow v 2)) (/ 1 e)))))
(* e (+ 1 (+ (* 1/6 (/ (pow v 2) e)) (+ (* 1/6 (pow v 2)) (/ 1 e)))))
(* e (+ 1 (* 1/6 (pow v 2))))
(* -1 (* e (+ (* -1 (+ 1 (* 1/6 (pow v 2)))) (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)))))
(* -1 (* e (+ (* -1 (+ 1 (* 1/6 (pow v 2)))) (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)))))
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1
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(*.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))
(*.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))
(*.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))
(*.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))
(*.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(* 1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/6 binary64))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))
(* -1/3 (* e (pow v 2)))
(*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(* e (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))
(*.f64 e (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 1/6 binary64)) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(* -1/3 (* e (pow v 2)))
(*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
(* -1 (* e (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)) (-.f64 #s(literal 0 binary64) e))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/6 e))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(+ 1/6 (* 1/6 e))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(+ 1/6 (* 1/6 e))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(*.f64 e (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) e)))

eval151.0ms (1.5%)

Compiler

Compiled 43165 to 3698 computations (91.4% saved)

prune169.0ms (1.7%)

Pruning

58 alts after pruning (52 fresh and 6 done)

PrunedKeptTotal
New1043331076
Fresh81927
Picked235
Done033
Total1053581111
Accuracy
100.0%
Counts
1111 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
5.1%
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
54.2%
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
53.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
48.5%
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
35.3%
(/.f64 (sin.f64 v) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
97.7%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.4%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
54.1%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
5.7%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
5.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
98.8%
(/.f64 e (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))) (sin.f64 v)))
54.1%
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
53.2%
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) v))
54.6%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
54.7%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
54.9%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
55.2%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
54.7%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
53.3%
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
53.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.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)))))))))
✓98.8%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
54.1%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
54.0%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
54.1%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
✓99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
53.6%
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
53.3%
(/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v)))
55.2%
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
5.7%
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
5.5%
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
55.3%
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
4.4%
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
4.4%
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
5.1%
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
5.1%
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
54.2%
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
2.1%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
2.7%
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
3.5%
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
2.4%
(-.f64 v (/.f64 v e))
1.2%
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
3.4%
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
55.3%
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
98.6%
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
✓53.1%
(*.f64 v e)
✓98.6%
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
98.5%
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))))
53.8%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
98.5%
(*.f64 e (*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v))))
97.9%
(*.f64 e (sin.f64 v))
5.9%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 3148 to 1127 computations (64.2% saved)

regimes82.0ms (0.8%)

Counts
86 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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 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 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.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))))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (cos.f64 v) e))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

23.0ms
e
23.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
22.0ms
v
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)

regimes53.0ms (0.5%)

Counts
75 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.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)))))))))
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(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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 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 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))) (sin.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

22.0ms
e
19.0ms
v
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes50.0ms (0.5%)

Counts
71 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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 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 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))) (sin.f64 v)))
Outputs
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
Calls

2 calls:

20.0ms
v
19.0ms
e
Results
AccuracySegmentsBranch
99.0%1e
99.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (0.5%)

Counts
63 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
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(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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))))))))))
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(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

18.0ms
v
17.0ms
e
Results
AccuracySegmentsBranch
98.6%1e
98.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes90.0ms (0.9%)

Counts
62 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
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(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
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(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
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(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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 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 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

64.0ms
v
16.0ms
e
Results
AccuracySegmentsBranch
97.9%1v
97.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.4%)

Counts
58 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 e (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 e (*.f64 v #s(literal -1/3 binary64))) v)) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))) v))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 e #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (/.f64 (*.f64 e (*.f64 e (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 e (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) (*.f64 #s(literal 1/6 binary64) (+.f64 v (/.f64 v e))))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) v))
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 v v) e) (*.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 e (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) v) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 1/3 binary64)))))
(/.f64 e (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 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 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (/.f64 v (*.f64 e (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))) e)) e))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(+.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e (*.f64 e e))) (-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) (+.f64 (/.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))) (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (*.f64 e e)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v))) (/.f64 #s(literal 1 binary64) e))) 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 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 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.f64 v v) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)))))) (*.f64 v (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1 binary64) e)))))))
(sin.f64 v)
Outputs
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
Calls

2 calls:

17.0ms
v
15.0ms
e
Results
AccuracySegmentsBranch
55.3%1e
55.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 e (*.f64 v (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 e #s(literal -1/2 binary64)))))
(/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) (/.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))) v))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
Outputs
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
Calls

2 calls:

7.0ms
e
7.0ms
v
Results
AccuracySegmentsBranch
54.2%1e
54.2%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.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 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 e (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 6 binary64)) v)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
v
5.0ms
e
Results
AccuracySegmentsBranch
54.2%1v
54.2%1e
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 v (-.f64 #s(literal 1 binary64) e)))
(/.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 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
53.8%1v
53.8%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
53.1%1v
53.1%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
4.6%1e
4.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
16×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03898
16098
26498
36698
46798
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.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 #s(literal 1 binary64) e)))
(*.f64 e v)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) e))) v)
(*.f64 v (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v v))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 v 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 #s(literal 1 binary64) e)))
(*.f64 e v)
v

soundness2.7s (27%)

Rules
5762×*-lowering-*.f32
5762×*-lowering-*.f64
5556×*-lowering-*.f32
5556×*-lowering-*.f64
4044×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030160
1197150
21953150
08614150
048329
1319279
23601268
08135268
01951175
16301044
220181012
365891012
081641012
06115273
121474490
276524483
084244483
04604950
115974422
256384319
080994319
08126313
127765540
085275540
0929
13627
225027
3241927
0896727
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 390 to 231 computations (40.8% saved)

preprocess74.0ms (0.7%)

Remove

(negabs v)

Compiler

Compiled 356 to 176 computations (50.6% saved)

end0.0ms (0%)

Profiling

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