Trigonometry A

Time bar (total: 8.7s)

analyze12.0ms (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-<=: 1.0ms (22.3% of total)
ival-div: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (15.2%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 723.0ms
ival-sin: 213.0ms (29.5% of total)
ival-cos: 179.0ms (24.8% of total)
ival-mult: 129.0ms (17.9% of total)
ival-<=: 62.0ms (8.6% of total)
ival-div: 61.0ms (8.4% of total)
ival-add: 48.0ms (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

preprocess122.0ms (1.4%)

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
17862
217361
343860
4121960
5244960
6368960
7408360
8451460
9533760
10586860
11628060
12647560
13655060
14656660
0911
11810
22310
32410
02410
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 (fast-sin v)) (fmsub e (cos v) -1))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (fast-sin v)) (fmsub e (cos v) 1))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(/ (* e (fast-sin v)) (fnmsub e (cos v) 1))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(/ (* e (fast-sin v)) (fnmsub e (cos v) -1))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(/ (* e (fast-sin v)) (fmsub e (cos v) -1))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
(* (fast-sin e) (/ v (fmsub v (cos e) -1)))
Symmetry

(negabs v)

explain127.0ms (1.5%)

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
86.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 15.0ms (34% of total)
ival-cos: 11.0ms (25% of total)
ival-mult: 11.0ms (25% of total)
ival-div: 4.0ms (9.1% of total)
ival-add: 3.0ms (6.8% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

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
11830
22330
32430
02430
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)

localize51.0ms (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 (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Results
40.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (30.3% of total)
ival-cos: 5.0ms (25.2% of total)
ival-mult: 5.0ms (25.2% of total)
ival-div: 2.0ms (10.1% of total)
ival-add: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

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

30 calls:

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

rewrite315.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3398×*-lowering-*.f32
3398×*-lowering-*.f64
1982×/-lowering-/.f32
1982×/-lowering-/.f64
1956×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
13827
225427
3243027
0825227
Stop Event
1×iter limit
1×node limit
Counts
6 → 250
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 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 #s(literal 2 binary64) v)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (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 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify234.0ms (2.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01951175
16331044
220211012
365791004
081561004
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (*.f64 e (*.f64 (neg.f64 (*.f64 e (sin.f64 v))) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.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 v (*.f64 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 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
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 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 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 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) #s(literal 1/24 binary64))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval40.0ms (0.5%)

Compiler

Compiled 8688 to 925 computations (89.4% saved)

prune58.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New36010370
Fresh000
Picked011
Done000
Total36011371
Accuracy
99.9%
Counts
371 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(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))
52.6%
(/.f64 (*.f64 e (*.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶98.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶53.0%
(/.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)))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
52.7%
(*.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))))))))
▶52.6%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
98.7%
(*.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 479 to 257 computations (46.3% saved)

simplify211.0ms (2.4%)

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-diff256
(*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))
✓cost-diff384
(+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))
✓cost-diff512
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (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
3600×*-lowering-*.f32
3600×*-lowering-*.f64
2090×+-lowering-+.f64
2090×+-lowering-+.f32
1952×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
046688
1139620
2458577
31896565
45323534
57784527
08149527
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
(/ (* 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
(* 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
(/ (* e v) (+ e 1))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* e v)
(*.f64 v e)
e
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(+.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 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 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))))))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(/.f64 (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))
(/ (* e -1/6) (+ e 1))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))
(/ 1/2 (+ e 1))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) e))
1/2
#s(literal 1/2 binary64)
(/ (* e e) (+ e 1))
(*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* e e)
(*.f64 e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64)) #s(literal 1/120 binary64)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64)) #s(literal 1/120 binary64))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1/120 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal -1/12 binary64) (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e)))))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/12 binary64))) (-.f64 #s(literal -1 binary64) e)))
(/ 1/120 (+ e 1))
(/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))
1/120
#s(literal 1/120 binary64)
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))
(/.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/12 binary64))) (+.f64 #s(literal 1 binary64) e))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (+.f64 (*.f64 e (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(* -1/24 (* e e))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)

localize273.0ms (3.1%)

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))
✓accuracy99.8%
(*.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))))))))
✓accuracy99.6%
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
✓accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
✓accuracy90.2%
(*.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)))
✓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
175.0ms256×0valid
Compiler

Compiled 766 to 47 computations (93.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 24.0ms (29.7% of total)
ival-div: 22.0ms (27.2% of total)
...c/correct-round.rkt:119:19: 12.0ms (14.9% of total)
ival-add: 8.0ms (9.9% of total)
ival-sin: 6.0ms (7.4% of total)
ival-cos: 5.0ms (6.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.5%)

Counts
22 → 432
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) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))>
#<alt (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))>
#<alt (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))>
#<alt (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (* e (sin v))>
#<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 (cos v)>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
#<alt (* (* 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)))))))>
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))))>
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#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 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 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 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))>
#<alt (* (pow v 4) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 4) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (+ (* e (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ (* e (+ (* e (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6))) (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ (* e (+ (* e (+ (* e (* (pow v 2) (+ 5/3 (* -17/15 (pow v 2))))) (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6)))) (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))>
#<alt (+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e))>
#<alt (+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (+ (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) (pow e 2)) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e)))>
#<alt (+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (+ (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) (pow e 2)) (+ (/ (* (pow v 2) (- (* -241/120 (pow v 2)) 11/6)) (pow e 3)) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e))))>
#<alt (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))>
#<alt (+ (* -1 (/ (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 11/6 (* 241/120 (pow v 2)))) e)) (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2))))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
v
@-inf
(/ (* e (sin v)) (+ e 1))
3.0ms
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))))))
3.0ms
v
@0
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
2.0ms
v
@0
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
1.0ms
v
@0
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))

rewrite374.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3566×*-lowering-*.f32
3566×*-lowering-*.f64
2512×/-lowering-/.f32
2512×/-lowering-/.f64
2372×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043304
1295293
23282282
08606282
Stop Event
1×iter limit
1×node limit
Counts
22 → 421
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) (+ e 1))
(* e v)
(+ e 1)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
(* (* 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)))))))
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))))
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(*.f64 (*.f64 v (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 (*.f64 e e) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e))))))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))))) v)

simplify322.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4856×*-lowering-*.f32
4856×*-lowering-*.f64
3494×+-lowering-+.f64
3494×+-lowering-+.f32
1648×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07206737
124785952
080255952
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/ (+ 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)))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
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(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
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(+ 1 (* e (cos v)))
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(* 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))
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(+ 1 (* -1/2 (pow v 2)))
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(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (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))
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(* 2/15 (pow v 2))
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(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(+ (* -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)
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(* -1/24 (pow e 2))
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(* -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))
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))
(* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e))))))))))
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(* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
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(* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 4) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 4) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(* e (+ (* e (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ (* e (+ (* e (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6))) (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ (* e (+ (* e (+ (* e (* (pow v 2) (+ 5/3 (* -17/15 (pow v 2))))) (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6)))) (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))))) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))
(+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e))
(+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (+ (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) (pow e 2)) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e)))
(+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (+ (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) (pow e 2)) (+ (/ (* (pow v 2) (- (* -241/120 (pow v 2)) 11/6)) (pow e 3)) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e))))
(* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))
(+ (* -1 (/ (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 11/6 (* 241/120 (pow v 2)))) e)) (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2))))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (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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(/ (sin v) (cos v))
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(/ (sin v) (cos v))
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(+.f64 (/.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -5/6 binary64) (*.f64 (*.f64 v v) #s(literal -61/120 binary64))))) e) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64))) (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 v (*.f64 v #s(literal 17/15 binary64)))) (*.f64 e e)))))
(+ (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))) (+ (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) (pow e 2)) (+ (/ (* (pow v 2) (- (* -241/120 (pow v 2)) 11/6)) (pow e 3)) (/ (* (pow v 2) (- (* -61/120 (pow v 2)) 5/6)) e))))
(+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (+.f64 #s(literal -5/6 binary64) (*.f64 (*.f64 v v) #s(literal -61/120 binary64))) e) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) #s(literal -11/6 binary64)) (*.f64 e (*.f64 e e))))) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64))) (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 v (*.f64 v #s(literal 17/15 binary64)))) (*.f64 e e)))))
(* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64)))))
(+ (* -1 (/ (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2)))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))
(-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64))))) (*.f64 v (*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) e))))
(+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2)))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))
(-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64))))) (/.f64 (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)))) (*.f64 v (*.f64 v (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 v (*.f64 v #s(literal 17/15 binary64)))) e)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (+ 11/6 (* 241/120 (pow v 2)))) e)) (* (pow v 2) (+ 4/3 (* 17/15 (pow v 2))))) e)) (* (pow v 2) (+ 5/6 (* 61/120 (pow v 2))))) e)) (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2)))))
(-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 2/15 binary64))))) (/.f64 (-.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)))) (/.f64 (-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 4/3 binary64) (*.f64 v (*.f64 v #s(literal 17/15 binary64)))))) (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal 11/6 binary64) (*.f64 (*.f64 v v) #s(literal 241/120 binary64))) e))) e)) e))

eval292.0ms (3.4%)

Compiler

Compiled 90677 to 5976 computations (93.4% saved)

prune177.0ms (2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1417221439
Fresh235
Picked415
Done011
Total1423271450
Accuracy
100.0%
Counts
1450 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(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))
52.7%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
52.7%
(/.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)))
52.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
✓98.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
53.0%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶54.1%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
54.2%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
52.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
73.3%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal -1 binary64))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
▶52.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
2.7%
(-.f64 v (/.f64 v e))
65.1%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
▶98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
52.7%
(*.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))))))))
52.8%
(*.f64 v e)
53.0%
(*.f64 e (-.f64 v (*.f64 v e)))
98.7%
(*.f64 e (sin.f64 v))
99.3%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
72.2%
(*.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)))))
98.5%
(*.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 805 to 516 computations (35.9% saved)

simplify158.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
✓cost-diff6592
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))
✓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 #s(literal 1 binary64) e)))))
✓cost-diff256
(+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))
✓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 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
✓cost-diff0
(/.f64 #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
2960×+-lowering-+.f64
2960×+-lowering-+.f32
2110×*-lowering-*.f32
2110×*-lowering-*.f64
1796×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042401
1130366
2428309
31633268
08227268
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
v
(+ (/ 1 e) (cos v))
(/ 1 e)
1
e
(cos v)
v
(/ 1 (/ (+ 1 e) (* v e)))
1
(/ (+ 1 e) (* v e))
(+ 1 e)
e
(* v e)
v
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))
e
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v)
(+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))))
(+ 1 e)
1
(* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))
(* v v)
v
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))
(* e -1/2)
-1/2
(+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(- (* 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 (+ 1 e))))
-1/6
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(* 1/6 (+ 1 e))
1/6
(* (/ 1 (+ 1 (* (cos v) e))) (pow (/ (/ 1 (sin v)) e) -1))
(/ 1 (+ 1 (* (cos v) e)))
1
(+ 1 (* (cos v) e))
(* (cos v) e)
(cos v)
v
e
(pow (/ (/ 1 (sin v)) e) -1)
(/ (/ 1 (sin v)) e)
(/ 1 (sin v))
(sin v)
-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
(/ 1 (/ (+ 1 e) (* v e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
1
#s(literal 1 binary64)
(/ (+ 1 e) (* v e))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
(* v e)
(*.f64 v e)
v
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))
(/.f64 e (/.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 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64))))) (*.f64 e #s(literal -1/3 binary64)))))) v))
e
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) 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 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64))))) (*.f64 e #s(literal -1/3 binary64)))))) v)
(+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 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 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64))))) (*.f64 e #s(literal -1/3 binary64))))))
(+ 1 e)
(+.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 (+ 1 e)))))) (* 1/6 (+ 1 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 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64))))) (*.f64 e #s(literal -1/3 binary64)))))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 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 (+ 1 e)))))) (* 1/6 (+ 1 e)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64))))))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 binary64)))))
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+.f64 (*.f64 e #s(literal 1/30 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal -1/18 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 (+ 1 e))))
(+.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 (+ 1 e)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* 1/6 (+ 1 e))
(*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (/ 1 (+ 1 (* (cos v) e))) (pow (/ (/ 1 (sin v)) e) -1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ 1 (+ 1 (* (cos v) e)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(+ 1 (* (cos v) e))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* (cos v) e)
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
e
(pow (/ (/ 1 (sin v)) e) -1)
(*.f64 (sin.f64 v) e)
(/ (/ 1 (sin v)) e)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin v)
(sin.f64 v)
-1
#s(literal -1 binary64)

localize241.0ms (2.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.8%
(*.f64 (cos.f64 v) e)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
✓accuracy98.9%
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))
✓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 #s(literal 1 binary64) e))))))
✓accuracy99.6%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
✓accuracy99.5%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy96.7%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 v e)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.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
166.0ms256×0valid
Compiler

Compiled 463 to 43 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 17.0ms (22% of total)
ival-div: 15.0ms (19.4% of total)
...c/correct-round.rkt:119:19: 14.0ms (18.1% of total)
ival-add: 10.0ms (12.9% of total)
ival-sin: 8.0ms (10.3% of total)
ival-cos: 5.0ms (6.5% of total)
ival-sub: 3.0ms (3.9% of total)
ival-pow: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.5%)

Counts
24 → 468
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (/ 1 e) (cos v)))>
#<alt (sin v)>
#<alt (+ (/ 1 e) (cos v))>
#<alt (/ 1 e)>
#<alt (/ 1 (/ (+ 1 e) (* v e)))>
#<alt (/ (+ 1 e) (* v e))>
#<alt (+ 1 e)>
#<alt (* v e)>
#<alt (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))>
#<alt (- (* e 1/24) (+ 1/120 (* e 1/120)))>
#<alt (+ (* e -1/2) (* 1/6 (+ 1 e)))>
#<alt (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))>
#<alt (pow (/ (/ 1 (sin v)) e) -1)>
#<alt (* (/ 1 (+ 1 (* (cos v) e))) (pow (/ (/ 1 (sin v)) e) -1))>
#<alt (/ 1 (+ 1 (* (cos v) e)))>
#<alt (+ 1 (* (cos v) e))>
#<alt (cos v)>
#<alt (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v)>
#<alt (* e 1/24)>
#<alt (/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))>
#<alt (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))>
#<alt (/ (/ 1 (sin v)) e)>
#<alt (* (cos v) e)>
#<alt (/ 1 (sin v))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<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 (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<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 (+ 1/6 (* 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 v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ (* e v) (+ 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) (* -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 (/ 1 (+ 1 e))>
#<alt (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
#<alt (/ 1 (+ 1 (* e (cos v))))>
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#<alt (/ 1 (+ 1 (* e (cos v))))>
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#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
Calls

117 calls:

TimeVariablePointExpression
6.0ms
e
@0
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))
4.0ms
v
@inf
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v)
2.0ms
v
@inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))
1.0ms
v
@-inf
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))
1.0ms
v
@0
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))

rewrite312.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2870×*-lowering-*.f32
2870×*-lowering-*.f64
2430×fma-lowering-fma.f32
2430×fma-lowering-fma.f64
1986×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042251
1311226
23070222
08378222
Stop Event
1×iter limit
1×node limit
Counts
24 → 498
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(/ 1 (/ (+ 1 e) (* v e)))
(/ (+ 1 e) (* v e))
(+ 1 e)
(* v e)
(+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e))))
(- (* e 1/24) (+ 1/120 (* e 1/120)))
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(pow (/ (/ 1 (sin v)) e) -1)
(* (/ 1 (+ 1 (* (cos v) e))) (pow (/ (/ 1 (sin v)) e) -1))
(/ 1 (+ 1 (* (cos v) e)))
(+ 1 (* (cos v) e))
(cos v)
(/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v)
(* e 1/24)
(/ e (/ (+ (+ 1 e) (* (* v v) (+ (* e -1/2) (+ (* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (* 1/6 (+ 1 e)))))) v))
(* (* v v) (- (- (* e 1/24) (+ 1/120 (* e 1/120))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(/ (/ 1 (sin v)) e)
(* (cos v) e)
(/ 1 (sin v))
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)))))
(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 (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)))
(exp.f64 (log.f64 (sin.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64)))
(sin.f64 v)
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sin.f64 v) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (/.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 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (*.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)))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) (*.f64 v e))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 v e)) (+.f64 #s(literal 1 binary64) e))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))) #s(literal -1 binary64))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) (*.f64 v e)))))
(*.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v e))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) v) e)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) e) v)
(*.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 0 binary64) (*.f64 v e)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v e))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 0 binary64) (*.f64 v e)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v e))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 0 binary64) (*.f64 v e))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64)))) (*.f64 v e)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (-.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (-.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) #s(literal -1 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 (*.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 (*.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 (*.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 1/24 binary64)) (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 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 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 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 e #s(literal 1/24 binary64)) (-.f64 (*.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 e #s(literal 1/24 binary64)) (-.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 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 (*.f64 v (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.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 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (-.f64 (*.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 e #s(literal 1/24 binary64)) (-.f64 (*.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 e #s(literal 1/24 binary64)) (-.f64 (*.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)
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal -1 binary64) (*.f64 e (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) e))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (pow.f64 (/.f64 e #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
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(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
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(pow.f64 (sin.f64 v) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 v) (sin.f64 v)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))

simplify358.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
6384×*-lowering-*.f32
6384×*-lowering-*.f64
3682×+-lowering-+.f64
3682×+-lowering-+.f32
1434×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07246979
125396169
083066169
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e v)
(* 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)
(+ 1/6 (* 7/360 (pow v 2)))
(+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))
(+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))
(+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3))))
(* e (- (* -1/45 (pow v 2)) 1/3))
(* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))
(* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))
(* e (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3))
(* -1 (* e (+ 1/3 (* 1/45 (pow v 2)))))
(* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))
(* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))
(* -1 (* e (+ 1/3 (+ (* -1 (/ (+ 1/6 (* 7/360 (pow v 2))) e)) (* 1/45 (pow v 2))))))
(+ (* -1/2 e) (* 1/6 (+ 1 e)))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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 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)))))
(* (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)
(* 1/30 e)
(* e (- 1/30 (* 1/120 (/ 1 e))))
(* e (- 1/30 (* 1/120 (/ 1 e))))
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(* -1 (/ (+ (* -1 (/ e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))))) (+ (* -1 (/ (* e (* (+ 1 e) (+ (* -1/2 e) (* 1/6 (+ 1 e))))) (* (pow v 6) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 3)))) (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (* (pow v 4) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 3))) (/ (* e (+ 1 e)) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 2))) (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* (pow v 6) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e))))))) (+ (/ (* e (+ 1 e)) (* (pow v 4) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 2))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* (pow v 2) (pow (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 e)))) 2)))))))) (pow v 3)))
(* (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)))))
(/ 1 (* e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/2 binary64)))))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
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(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
e
(+ e (* -1/2 (* e (pow v 2))))
(+.f64 e (*.f64 v (*.f64 v (*.f64 e #s(literal -1/2 binary64)))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 e (*.f64 v v)))))))
(+ 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 v v) (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e (*.f64 (*.f64 v 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))
(* 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))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/.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)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 v v) #s(literal 31/15120 binary64)))))))) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))

eval143.0ms (1.6%)

Compiler

Compiled 37754 to 3621 computations (90.4% saved)

prune130.0ms (1.5%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1068221090
Fresh61420
Picked325
Done022
Total1077401117
Accuracy
100.0%
Counts
1117 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
52.7%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
54.0%
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
52.7%
(/.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)))
52.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
✓98.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
72.2%
(/.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))))
98.5%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
▶99.3%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
73.5%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) (cos.f64 v)))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
53.0%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
6.1%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
54.1%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
54.2%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
54.2%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
53.9%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
52.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
▶6.1%
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
6.1%
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
▶52.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
52.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
▶2.1%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
2.2%
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
2.7%
(-.f64 v (/.f64 v e))
65.1%
(*.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)))
53.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)))
52.7%
(*.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))))))))
▶52.8%
(*.f64 v e)
53.0%
(*.f64 e (-.f64 v (*.f64 v e)))
98.7%
(*.f64 e (sin.f64 v))
97.7%
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
5.9%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 1397 to 836 computations (40.2% saved)

simplify171.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) v)
✓cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
✓cost-diff1024
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
✓cost-diff0
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))
✓cost-diff0
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v))
✓cost-diff256
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
✓cost-diff12800
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
3082×*-lowering-*.f32
3082×*-lowering-*.f64
1692×fma-lowering-fma.f32
1692×fma-lowering-fma.f64
1398×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040374
1116340
2395301
31439296
47219296
08067296
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (pow (pow e -1/2) 2) (cos v)))
(sin v)
v
(+ (pow (pow e -1/2) 2) (cos v))
(pow (pow e -1/2) 2)
(pow e -1/2)
e
-1/2
2
(cos v)
(* v e)
v
e
(/ 1 (/ (/ (+ 1 e) v) e))
1
(/ (/ (+ 1 e) v) e)
(/ (+ 1 e) v)
(+ 1 e)
e
v
(/ e (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v)))
e
(/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v))
(* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)
(* (* v v) (+ 1/3 (* (* v v) 1/45)))
(* v v)
v
(+ 1/3 (* (* v v) 1/45))
1/3
(* (* v v) 1/45)
1/45
-1
(- 0 v)
0
(- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))
(/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(- 0 v)
0
v
(+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)
(* (* v v) (+ 1/3 (* (* v v) 1/45)))
(* v v)
(+ 1/3 (* (* v v) 1/45))
1/3
(* (* v v) 1/45)
1/45
-1
(/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))))
(* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360)))))
(+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))
1
(* (* v v) (+ 1/6 (* (* v v) 7/360)))
(+ 1/6 (* (* v v) 7/360))
1/6
(* (* v v) 7/360)
7/360
(* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))
(* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
e
Outputs
(/ (sin v) (+ (pow (pow e -1/2) 2) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (pow (pow e -1/2) 2) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(pow (pow e -1/2) 2)
(/.f64 #s(literal 1 binary64) e)
(pow e -1/2)
(pow.f64 e #s(literal -1/2 binary64))
e
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(cos v)
(cos.f64 v)
(* v e)
(*.f64 v e)
v
e
(/ 1 (/ (/ (+ 1 e) v) e))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
1
#s(literal 1 binary64)
(/ (/ (+ 1 e) v) e)
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))
(/ (+ 1 e) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
v
(/ e (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
e
(/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) e) (-.f64 #s(literal 0 binary64) v))
(* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) e)
(+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))
(* (* v v) (+ 1/3 (* (* v v) 1/45)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))
(* v v)
(*.f64 v v)
v
(+ 1/3 (* (* v v) 1/45))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* v v) 1/45)
(*.f64 (*.f64 v v) #s(literal 1/45 binary64))
1/45
#s(literal 1/45 binary64)
-1
#s(literal -1 binary64)
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
(- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))
(*.f64 (/.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) e))))
(/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
v
(+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))
(* (* v v) (+ 1/3 (* (* v v) 1/45)))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))
(* v v)
(*.f64 v v)
(+ 1/3 (* (* v v) 1/45))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* v v) 1/45)
(*.f64 (*.f64 v v) #s(literal 1/45 binary64))
1/45
#s(literal 1/45 binary64)
-1
#s(literal -1 binary64)
(/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (/.f64 v e)) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))
(* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360)))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))))
(+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
1
#s(literal 1 binary64)
(* (* v v) (+ 1/6 (* (* v v) 7/360)))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))
(+ 1/6 (* (* v v) 7/360))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* v v) 7/360)
(*.f64 (*.f64 v v) #s(literal 7/360 binary64))
7/360
#s(literal 7/360 binary64)
(* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) e))
(* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) e)
e

localize282.0ms (3.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal 1/45 binary64))
✓accuracy95.4%
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
✓accuracy93.7%
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
✓accuracy61.3%
(/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal 1/45 binary64))
✓accuracy93.7%
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
✓accuracy93.4%
(/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
✓accuracy99.2%
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
Results
203.0ms256×0valid
Compiler

Compiled 444 to 41 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 15.0ms (19% of total)
...c/correct-round.rkt:119:19: 14.0ms (17.8% of total)
ival-div: 13.0ms (16.5% of total)
ival-pow: 11.0ms (14% of total)
ival-add: 8.0ms (10.2% of total)
ival-sin: 7.0ms (8.9% of total)
ival-cos: 7.0ms (8.9% of total)
ival-sub: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (pow (pow e -1/2) 2)>
#<alt (/ (sin v) (+ (pow (pow e -1/2) 2) (cos v)))>
#<alt (sin v)>
#<alt (+ (pow (pow e -1/2) 2) (cos v))>
#<alt (* v e)>
#<alt (/ 1 (/ (/ (+ 1 e) v) e))>
#<alt (/ (/ (+ 1 e) v) e)>
#<alt (/ (+ 1 e) v)>
#<alt (+ 1 e)>
#<alt (/ e (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v)))>
#<alt (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v))>
#<alt (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))>
#<alt (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)>
#<alt (- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))>
#<alt (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))>
#<alt (- 0 v)>
#<alt (cos v)>
#<alt (* (* v v) 1/45)>
#<alt (* (* v v) (+ 1/3 (* (* v v) 1/45)))>
#<alt (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))))>
Outputs
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (* -1 (/ (pow (sqrt -1) 2) e))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt 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 (/ (pow (sqrt -1) 2) e)))>
#<alt (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))>
#<alt (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt v>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 7/135 (pow v 2))))))))>
#<alt (/ -45 (pow v 3))>
#<alt (/ (- (* 675 (/ 1 (pow v 2))) 45) (pow v 3))>
#<alt (/ (- (* 675 (/ 1 (pow v 2))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))>
#<alt (/ (- (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6)))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))>
#<alt (/ -45 (pow v 3))>
#<alt (* -1 (/ (- 45 (* 675 (/ 1 (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (* 675 (/ 1 (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6))))) (pow v 3)))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (/ e v)>
#<alt (/ (+ e (* -1/3 (* e (pow v 2)))) v)>
#<alt (/ (+ e (* (pow v 2) (+ (* -1/3 e) (* -1/45 (* e (pow v 2)))))) v)>
#<alt (/ (+ e (* (pow v 2) (+ (* -1/3 e) (* -1/45 (* e (pow v 2)))))) v)>
#<alt (* -1/45 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (* -1/45 e)))>
#<alt (* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (+ (* -1/45 e) (/ e (pow v 4)))))>
#<alt (* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (+ (* -1/45 e) (/ e (pow v 4)))))>
#<alt (* -1/45 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))>
#<alt (* -1 e)>
#<alt (+ (* -1 e) (* 1/3 (* e (pow v 2))))>
#<alt (+ (* -1 e) (* (pow v 2) (+ (* 1/45 (* e (pow v 2))) (* 1/3 e))))>
#<alt (+ (* -1 e) (* (pow v 2) (+ (* 1/45 (* e (pow v 2))) (* 1/3 e))))>
#<alt (* 1/45 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))>
#<alt (* 1/45 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))>
#<alt -1>
#<alt (- (* 1/3 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)>
#<alt (* 1/45 (pow v 4))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 1/45 (pow v 4))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* v (- 1 (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- 1/3 (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- 2/15 (* 61/120 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- (+ 2/15 (* (pow v 2) (- 7/135 (* 29/108 (/ 1 e))))) (* 61/120 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* -1 (/ (+ 45 (* 315/8 (/ 1 e))) (pow v 3)))>
#<alt (/ (- (+ (* 675 (/ 1 (pow v 2))) (/ 4725/4 (* e (pow v 2)))) (+ 45 (+ (* 315/8 (/ 1 e)) (/ 675/2 (* e (pow v 2)))))) (pow v 3))>
#<alt (/ (- (+ (* 675 (/ 1 (pow v 2))) (/ 4725/4 (* e (pow v 2)))) (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (+ (/ 675/2 (* e (pow v 2))) (/ 12150 (pow v 4))))))) (pow v 3))>
#<alt (/ (- (+ (* 675 (/ 1 (pow v 2))) (+ (* 212625 (/ 1 (pow v 6))) (+ (/ 4725/4 (* e (pow v 2))) (/ 1974375/4 (* e (pow v 6)))))) (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (+ (/ 675/2 (* e (pow v 2))) (/ 12150 (pow v 4))))))) (pow v 3))>
#<alt (* -1 (/ (+ 45 (* 315/8 (/ 1 e))) (pow v 3)))>
#<alt (* -1 (/ (+ 45 (+ (* -1 (/ (+ 675 (* 3375/4 (/ 1 e))) (pow v 2))) (* 315/8 (/ 1 e)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (/ 12150 (pow v 4))))) (+ (* 675 (/ 1 (pow v 2))) (/ 3375/4 (* e (pow v 2))))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (+ (* -1 (/ (+ 212625 (* 1974375/4 (/ 1 e))) (pow v 6))) (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (/ 12150 (pow v 4)))))) (+ (* 675 (/ 1 (pow v 2))) (/ 3375/4 (* e (pow v 2))))) (pow v 3)))>
#<alt (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))))>
#<alt (/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)>
#<alt (/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)>
#<alt (/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))>
#<alt v>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 7/135 (pow v 2))))))))>
#<alt (/ -45 (pow v 3))>
#<alt (/ (- (* 675 (/ 1 (pow v 2))) 45) (pow v 3))>
#<alt (/ (- (* 675 (/ 1 (pow v 2))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))>
#<alt (/ (- (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6)))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))>
#<alt (/ -45 (pow v 3))>
#<alt (* -1 (/ (- 45 (* 675 (/ 1 (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (* 675 (/ 1 (pow v 2)))) (pow v 3)))>
#<alt (* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6))))) (pow v 3)))>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 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)>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/45 (pow v 2))>
#<alt (* 1/3 (pow v 2))>
#<alt (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2))))>
#<alt (* 1/45 (pow v 4))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 1/45 (pow v 4))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ v e)>
#<alt (* v (+ (* 5/6 (/ (pow v 2) e)) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* 61/120 (/ (pow v 2) e)) (* 5/6 (/ 1 e)))) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 29/108 (/ (pow v 2) e)) (* 61/120 (/ 1 e)))) (* 5/6 (/ 1 e)))) (/ 1 e)))>
#<alt (/ 315/8 (* e (pow v 3)))>
#<alt (/ (- (* 315/8 (/ 1 e)) (* 3375/4 (/ 1 (* e (pow v 2))))) (pow v 3))>
#<alt (/ (- (+ (* 315/8 (/ 1 e)) (/ 176175/8 (* e (pow v 4)))) (/ 3375/4 (* e (pow v 2)))) (pow v 3))>
#<alt (/ (- (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4))))) (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2))))) (pow v 3))>
#<alt (/ 315/8 (* e (pow v 3)))>
#<alt (* -1 (/ (- (* 3375/4 (/ 1 (* e (pow v 2)))) (* 315/8 (/ 1 e))) (pow v 3)))>
#<alt (* -1 (/ (- (/ 3375/4 (* e (pow v 2))) (+ (* 315/8 (/ 1 e)) (/ 176175/8 (* e (pow v 4))))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2)))) (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4)))))) (pow v 3)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
#<alt (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
e
@-inf
(pow (pow e -1/2) 2)
2.0ms
e
@0
(- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))
1.0ms
v
@inf
(- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))
1.0ms
e
@0
(/ e (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v)))
1.0ms
e
@0
(/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v))

rewrite352.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3018×*-lowering-*.f32
3018×*-lowering-*.f64
2518×fma-lowering-fma.f32
2518×fma-lowering-fma.f64
1794×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040218
1288199
22870175
08569175
Stop Event
1×iter limit
1×node limit
Counts
20 → 509
Calls
Call 1
Inputs
(pow (pow e -1/2) 2)
(/ (sin v) (+ (pow (pow e -1/2) 2) (cos v)))
(sin v)
(+ (pow (pow e -1/2) 2) (cos v))
(* v e)
(/ 1 (/ (/ (+ 1 e) v) e))
(/ (/ (+ 1 e) v) e)
(/ (+ 1 e) v)
(+ 1 e)
(/ e (/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v)))
(/ (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (- 0 v))
(* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)
(- (/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)) (/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1)))))
(/ (- 0 v) (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))
(- 0 v)
(cos v)
(* (* v v) 1/45)
(* (* v v) (+ 1/3 (* (* v v) 1/45)))
(/ (* v (+ 1 (* (* v v) (+ 1/6 (* (* v v) 7/360))))) (* (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1) (* e (+ (* (* v v) (+ 1/3 (* (* v v) 1/45))) -1))))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 e)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 e)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 e e)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (/.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(pow.f64 e #s(literal -1 binary64))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 e e) (*.f64 e e)) #s(literal -1/4 binary64))
(pow.f64 (/.f64 e #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 e)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 (pow.f64 e #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal -1/4 binary64)))
(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)))))
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(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (+.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) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.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))))) (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 v (/.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))))) (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.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))))) (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.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))))) (*.f64 v (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))))
(*.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))))) (/.f64 v (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.f64 (*.f64 v (neg.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))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e)))))
(*.f64 (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (/.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))))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.f64 (/.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))))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (pow.f64 (/.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))) #s(literal -1 binary64)))
(*.f64 (*.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))))) (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.f64 (/.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))))) (*.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))) v)
(*.f64 (/.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (/.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))))) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.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))))) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) (/.f64 v (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v)) (pow.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))) (*.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))))) (/.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v)))

simplify300.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
3310×*-lowering-*.f32
3310×*-lowering-*.f64
2090×+-lowering-+.f64
2090×+-lowering-+.f32
1838×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04754444
116053829
254413814
080213814
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
(* -1 (/ (pow (sqrt -1) 2) e))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ 1 v)
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 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 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
v
(* v (+ 1 (* 1/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 7/135 (pow v 2))))))))
(/ -45 (pow v 3))
(/ (- (* 675 (/ 1 (pow v 2))) 45) (pow v 3))
(/ (- (* 675 (/ 1 (pow v 2))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))
(/ (- (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6)))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))
(/ -45 (pow v 3))
(* -1 (/ (- 45 (* 675 (/ 1 (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (* 675 (/ 1 (pow v 2)))) (pow v 3)))
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(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))
(/ e v)
(/ (+ e (* -1/3 (* e (pow v 2)))) v)
(/ (+ e (* (pow v 2) (+ (* -1/3 e) (* -1/45 (* e (pow v 2)))))) v)
(/ (+ e (* (pow v 2) (+ (* -1/3 e) (* -1/45 (* e (pow v 2)))))) v)
(* -1/45 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (* -1/45 e)))
(* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (+ (* -1/45 e) (/ e (pow v 4)))))
(* (pow v 3) (+ (* -1/3 (/ e (pow v 2))) (+ (* -1/45 e) (/ e (pow v 4)))))
(* -1/45 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))))
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(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))
(* -1 e)
(+ (* -1 e) (* 1/3 (* e (pow v 2))))
(+ (* -1 e) (* (pow v 2) (+ (* 1/45 (* e (pow v 2))) (* 1/3 e))))
(+ (* -1 e) (* (pow v 2) (+ (* 1/45 (* e (pow v 2))) (* 1/3 e))))
(* 1/45 (* e (pow v 4)))
(* (pow v 4) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))
(* 1/45 (* e (pow v 4)))
(* (pow v 4) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1 (/ e (pow v 4))) (+ (* 1/45 e) (* 1/3 (/ e (pow v 2))))))
-1
(- (* 1/3 (pow v 2)) 1)
(- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)
(- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)
(* 1/45 (pow v 4))
(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 1/45 (pow v 4))
(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 1/45 (* 1/3 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
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(* v (- (+ 1 (* (pow v 2) (- 1/3 (* 5/6 (/ 1 e))))) (/ 1 e)))
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(* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- (+ 2/15 (* (pow v 2) (- 7/135 (* 29/108 (/ 1 e))))) (* 61/120 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))
(* -1 (/ (+ 45 (* 315/8 (/ 1 e))) (pow v 3)))
(/ (- (+ (* 675 (/ 1 (pow v 2))) (/ 4725/4 (* e (pow v 2)))) (+ 45 (+ (* 315/8 (/ 1 e)) (/ 675/2 (* e (pow v 2)))))) (pow v 3))
(/ (- (+ (* 675 (/ 1 (pow v 2))) (/ 4725/4 (* e (pow v 2)))) (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (+ (/ 675/2 (* e (pow v 2))) (/ 12150 (pow v 4))))))) (pow v 3))
(/ (- (+ (* 675 (/ 1 (pow v 2))) (+ (* 212625 (/ 1 (pow v 6))) (+ (/ 4725/4 (* e (pow v 2))) (/ 1974375/4 (* e (pow v 6)))))) (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (+ (/ 675/2 (* e (pow v 2))) (/ 12150 (pow v 4))))))) (pow v 3))
(* -1 (/ (+ 45 (* 315/8 (/ 1 e))) (pow v 3)))
(* -1 (/ (+ 45 (+ (* -1 (/ (+ 675 (* 3375/4 (/ 1 e))) (pow v 2))) (* 315/8 (/ 1 e)))) (pow v 3)))
(* -1 (/ (- (+ 45 (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (/ 12150 (pow v 4))))) (+ (* 675 (/ 1 (pow v 2))) (/ 3375/4 (* e (pow v 2))))) (pow v 3)))
(* -1 (/ (- (+ 45 (+ (* -1 (/ (+ 212625 (* 1974375/4 (/ 1 e))) (pow v 6))) (+ (* 315/8 (/ 1 e)) (+ (* 176175/8 (/ 1 (* e (pow v 4)))) (/ 12150 (pow v 4)))))) (+ (* 675 (/ 1 (pow v 2))) (/ 3375/4 (* e (pow v 2))))) (pow v 3)))
(* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))))
(/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)
(/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)
(/ (- (* -1 (/ (* e v) (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
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(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
v
(* v (+ 1 (* 1/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 2/15 (pow v 2))))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 2/15 (* 7/135 (pow v 2))))))))
(/ -45 (pow v 3))
(/ (- (* 675 (/ 1 (pow v 2))) 45) (pow v 3))
(/ (- (* 675 (/ 1 (pow v 2))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))
(/ (- (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6)))) (+ 45 (/ 12150 (pow v 4)))) (pow v 3))
(/ -45 (pow v 3))
(* -1 (/ (- 45 (* 675 (/ 1 (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (* 675 (/ 1 (pow v 2)))) (pow v 3)))
(* -1 (/ (- (+ 45 (/ 12150 (pow v 4))) (+ (* 675 (/ 1 (pow v 2))) (* 212625 (/ 1 (pow v 6))))) (pow v 3)))
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 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)
(* 1/45 (pow v 2))
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(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/45 (pow v 2))
(* 1/3 (pow v 2))
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(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
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(* (pow v 4) (+ 1/45 (* 1/3 (/ 1 (pow v 2)))))
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(/ v e)
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(* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 29/108 (/ (pow v 2) e)) (* 61/120 (/ 1 e)))) (* 5/6 (/ 1 e)))) (/ 1 e)))
(/ 315/8 (* e (pow v 3)))
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(/ (- (+ (* 315/8 (/ 1 e)) (/ 176175/8 (* e (pow v 4)))) (/ 3375/4 (* e (pow v 2)))) (pow v 3))
(/ (- (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4))))) (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2))))) (pow v 3))
(/ 315/8 (* e (pow v 3)))
(* -1 (/ (- (* 3375/4 (/ 1 (* e (pow v 2)))) (* 315/8 (/ 1 e))) (pow v 3)))
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(* -1 (/ (- (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2)))) (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4)))))) (pow v 3)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
Outputs
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
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(/.f64 #s(literal 1 binary64) e)
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(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
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(* -1 (/ (pow (sqrt -1) 2) e))
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(* -1 (/ (pow (sqrt -1) 2) e))
(/.f64 #s(literal 1 binary64) e)
(* -1 (/ (pow (sqrt -1) 2) e))
(/.f64 #s(literal 1 binary64) e)
(* -1 (/ (pow (sqrt -1) 2) e))
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(/ v (+ 1 (/ 1 e)))
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(* 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)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 (/.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))))) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 (/.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))))
(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
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(/.f64 (+.f64 (/.f64 #s(literal 315/8 binary64) e) (-.f64 (/.f64 #s(literal 176175/8 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 3375/4 binary64) (*.f64 e (*.f64 v v))))) (*.f64 v (*.f64 v v)))
(/ (- (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4))))) (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2))))) (pow v 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 315/8 binary64) e) (-.f64 (/.f64 #s(literal 176175/8 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 3375/4 binary64) (*.f64 e (*.f64 v v))))) (/.f64 #s(literal 1974375/4 binary64) (*.f64 e (pow.f64 v #s(literal 6 binary64))))) (*.f64 v (*.f64 v v)))
(/ 315/8 (* e (pow v 3)))
(/.f64 #s(literal 315/8 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(* -1 (/ (- (* 3375/4 (/ 1 (* e (pow v 2)))) (* 315/8 (/ 1 e))) (pow v 3)))
(/.f64 (+.f64 (/.f64 #s(literal 3375/4 binary64) (*.f64 e (*.f64 v v))) (/.f64 #s(literal -315/8 binary64) e)) (neg.f64 (*.f64 v (*.f64 v v))))
(* -1 (/ (- (/ 3375/4 (* e (pow v 2))) (+ (* 315/8 (/ 1 e)) (/ 176175/8 (* e (pow v 4))))) (pow v 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3375/4 binary64) (*.f64 e (*.f64 v v))) (+.f64 (/.f64 #s(literal 315/8 binary64) e) (/.f64 #s(literal 176175/8 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64)))))) (*.f64 v (*.f64 v v))))
(* -1 (/ (- (+ (* 1974375/4 (/ 1 (* e (pow v 6)))) (/ 3375/4 (* e (pow v 2)))) (+ (* 315/8 (/ 1 e)) (* 176175/8 (/ 1 (* e (pow v 4)))))) (pow v 3)))
(/.f64 (+.f64 (/.f64 #s(literal 1974375/4 binary64) (*.f64 e (pow.f64 v #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3375/4 binary64) (*.f64 e (*.f64 v v))) (+.f64 (/.f64 #s(literal 315/8 binary64) e) (/.f64 #s(literal 176175/8 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64))))))) (neg.f64 (*.f64 v (*.f64 v v))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))
(/.f64 (*.f64 v (/.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))))) e)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))

eval172.0ms (2%)

Compiler

Compiled 60190 to 2752 computations (95.4% saved)

prune224.0ms (2.6%)

Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1212181230
Fresh92231
Picked415
Done044
Total1225451270
Accuracy
100.0%
Counts
1270 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
3.1%
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
52.7%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
54.0%
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
3.7%
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
52.7%
(/.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)))
52.6%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
✓98.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.5%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
98.4%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
73.5%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) (cos.f64 v)))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
53.0%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
6.1%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
6.1%
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
54.1%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
54.2%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
5.9%
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
52.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
4.0%
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
6.1%
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
6.1%
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
98.5%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
4.5%
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
6.1%
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
3.1%
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
6.1%
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
3.5%
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
52.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
3.5%
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
2.1%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
2.7%
(-.f64 v (/.f64 v e))
65.1%
(*.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)))
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)))
52.7%
(*.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))))))))
✓52.8%
(*.f64 v e)
53.0%
(*.f64 e (-.f64 v (*.f64 v e)))
98.7%
(*.f64 e (sin.f64 v))
97.7%
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
5.9%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 2074 to 800 computations (61.4% saved)

regimes69.0ms (0.8%)

Counts
73 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.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 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 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #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))))))))))
(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 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (*.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))))))) (+.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 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e e) #s(literal -1/2 binary64)) (cos.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 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 (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 #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 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal -1 binary64))))
(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))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

22.0ms
e
21.0ms
v
18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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)

regimes41.0ms (0.5%)

Counts
59 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.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 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 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #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))))))))))
(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 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (*.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))))))) (+.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 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes40.0ms (0.5%)

Counts
55 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.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 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 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #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))))))))))
(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 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (*.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

17.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.5%)

Counts
52 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.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 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 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #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))))))))))
(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:

18.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
98.7%1e
98.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/45 binary64))) (*.f64 #s(literal 1/6 binary64) (+.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 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 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/91125 binary64)))) (*.f64 v v)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/3 binary64))) e))))
(-.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #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))))))))))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
Calls

2 calls:

15.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
54.2%1v
54.2%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts
35 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64)))
(/.f64 e (*.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v)))
(/.f64 e (*.f64 (*.f64 v (*.f64 v v)) (+.f64 (/.f64 (*.f64 e #s(literal -1/3 binary64)) (*.f64 v v)) (*.f64 e #s(literal -1/45 binary64)))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (neg.f64 v)))
(/.f64 e (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 e (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) #s(literal -1 binary64)))))
(/.f64 e (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64))))) (/.f64 e v))))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v #s(literal 1/45 binary64)) v))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))) v))
Outputs
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
Calls

2 calls:

14.0ms
e
10.0ms
v
Results
AccuracySegmentsBranch
54.0%1e
54.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 #s(literal -45 binary64) (*.f64 v (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (*.f64 e (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/45 binary64))))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -315/8 binary64) e)) (*.f64 v (*.f64 v v)))
(/.f64 e (/.f64 (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))) v))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 v v))) (*.f64 v (*.f64 v v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1/45 binary64)))))))
Outputs
(*.f64 e (-.f64 v (*.f64 v e)))
Calls

2 calls:

9.0ms
v
7.0ms
e
Results
AccuracySegmentsBranch
53.0%1v
53.0%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
Outputs
(*.f64 v e)
Calls

2 calls:

2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
52.8%1v
52.8%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03481
15881
26981
37581
47981
58081
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 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) #s(literal 7/360 binary64))))))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
(*.f64 e v)
v

soundness1.4s (16.4%)

Rules
6384×*-lowering-*.f32
6384×*-lowering-*.f64
4856×*-lowering-*.f32
4856×*-lowering-*.f64
3940×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07206737
124785952
080255952
01951175
16331044
220211012
365791004
081561004
0929
13827
225427
3243027
0825227
07246979
125396169
083066169
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
Compiler

Compiled 237 to 135 computations (43% saved)

preprocess78.0ms (0.9%)

Remove

(negabs v)

Compiler

Compiled 374 to 210 computations (43.9% saved)

end0.0ms (0%)

Profiling

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