Trigonometry A

Time bar (total: 9.2s)

analyze11.0ms (0.1%)

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

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-sin: 1.0ms (17.5% of total)
ival-<=: 1.0ms (17.5% 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)

sample1.2s (13.1%)

Results
953.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 724.0ms
ival-sin: 203.0ms (28.1% of total)
ival-cos: 185.0ms (25.6% of total)
ival-mult: 135.0ms (18.7% of total)
ival-<=: 76.0ms (10.5% of total)
ival-div: 56.0ms (7.7% of total)
ival-add: 44.0ms (6.1% of total)
const: 12.0ms (1.7% of total)
ival-and: 10.0ms (1.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess112.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

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

(negabs v)

explain102.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 v)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-(*.f64 e (cos.f64 v))
00-0-e
00-0-#s(literal 1 binary64)
Results
64.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 12.0ms (31.5% of total)
ival-cos: 11.0ms (28.8% of total)
ival-mult: 8.0ms (21% of total)
ival-div: 3.0ms (7.9% of total)
ival-add: 3.0ms (7.9% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize43.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
33.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 7.0ms (33.7% of total)
ival-cos: 6.0ms (28.9% of total)
ival-mult: 4.0ms (19.2% of total)
ival-div: 2.0ms (9.6% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/ (* 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))))

rewrite308.0ms (3.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
13625
224925
3240625
0893625
Stop Event
1×iter limit
1×node limit
Counts
5 → 290
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))

simplify242.0ms (2.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01821121
15961063
219221040
369031040
084421040
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (*.f64 e (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal -1/720 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 e (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64)))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))

eval48.0ms (0.5%)

Compiler

Compiled 10126 to 1024 computations (89.9% saved)

prune58.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New38810398
Fresh000
Picked101
Done000
Total38910399
Accuracy
99.9%
Counts
399 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶98.5%
(/.f64 (*.f64 e (sin.f64 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)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
50.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
▶50.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
▶50.6%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
97.8%
(*.f64 e (sin.f64 v))
Compiler

Compiled 438 to 230 computations (47.5% saved)

simplify211.0ms (2.3%)

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-diff1536
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
✓cost-diff1536
(*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
✓cost-diff1536
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
✓cost-diff1536
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 v (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff6272
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
✓cost-diff6272
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Rules
3538×*-lowering-*.f32
3538×*-lowering-*.f64
2014×+-lowering-+.f64
2014×+-lowering-+.f32
1796×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
044735
1135718
2447693
31851625
45197586
57524579
08091579
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ (* (cos v) e) 1))
(* e (sin v))
e
(sin v)
v
(+ (* (cos v) e) 1)
(cos v)
1
(* e (/ v (+ e 1)))
e
(/ v (+ e 1))
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(* v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))
(* (* e e) 1/2)
(* e e)
1/2
(* (+ e 1) (+ e 1))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))
(/ 1/120 (+ e 1))
1/120
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))))
-1/2
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(* -1/24 (* e e))
-1/24
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
Outputs
(/ (* e (sin v)) (+ (* (cos v) e) 1))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ (* (cos v) e) 1)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
(* e (/ v (+ e 1)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
e
(/ v (+ e 1))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64)))))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64))))))))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64)))))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 v (*.f64 v #s(literal -1/24 binary64))))))))
(+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64)))))
(/ (* e -1/6) (+ e 1))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(* (* e e) 1/2)
(*.f64 e (*.f64 e #s(literal 1/2 binary64)))
(* e e)
(*.f64 e e)
1/2
#s(literal 1/2 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(+.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 (*.f64 e (/.f64 #s(literal -1/24 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64)))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (-.f64 (*.f64 e (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(/ 1/120 (+ e 1))
(/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64)))
1/120
#s(literal 1/120 binary64)
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1))
(/.f64 (*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(* -1/24 (* e e))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)

localize238.0ms (2.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓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 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
✓accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
✓accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
✓accuracy87.4%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 v (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
133.0ms256×0valid
Compiler

Compiled 751 to 44 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 26.0ms (30.4% of total)
ival-div: 18.0ms (21.1% of total)
...c/correct-round.rkt:119:19: 12.0ms (14% of total)
ival-add: 8.0ms (9.4% of total)
ival-sin: 8.0ms (9.4% of total)
ival-cos: 6.0ms (7% of total)
compiled-spec: 4.0ms (4.7% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.5%)

Counts
20 → 420
Calls
Call 1
Inputs
#<alt (/ (* e (sin v)) (+ (* (cos v) e) 1))>
#<alt (+ (* (cos v) e) 1)>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (* e (/ v (+ e 1)))>
#<alt (/ v (+ e 1))>
#<alt (+ e 1)>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))>
#<alt (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (/ e (/ (+ 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* e (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 (* 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 (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt v>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* e (- (* e v) v)))>
#<alt (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))>
#<alt (/ v e)>
#<alt (/ (+ v (* -1 (/ v e))) e)>
#<alt (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)>
#<alt (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)>
#<alt (/ v e)>
#<alt (* -1 (/ (+ (* -1 v) (/ v e)) e))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (/ (* e v) (+ 1 e))>
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#<alt (* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 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))>
Calls

105 calls:

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

rewrite387.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4098×*-lowering-*.f32
4098×*-lowering-*.f64
2868×/-lowering-/.f32
2868×/-lowering-/.f64
2712×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044403
1314364
23659364
08726364
Stop Event
1×iter limit
1×node limit
Counts
20 → 353
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ (* (cos v) e) 1))
(+ (* (cos v) e) 1)
(* e (sin v))
(sin v)
(* e (/ v (+ e 1)))
(/ v (+ e 1))
(+ e 1)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(+ (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(/ (* e (sin v)) (+ e 1))
(/ e (/ (+ 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)) (/ (* (* e e) 1/2) (* (+ e 1) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))))
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(/.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal 1/576 binary64)))) (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (/.f64 #s(literal -1/13824 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 v v)) (+.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))) #s(literal 1/576 binary64))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v))
(*.f64 (*.f64 v (+.f64 (/.f64 (*.f64 e (-.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) v)
(*.f64 e #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) e)
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
(*.f64 (*.f64 e #s(literal -1/24 binary64)) e)

simplify650.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
5012×+-lowering-+.f64
5012×+-lowering-+.f32
5002×*-lowering-*.f32
5002×*-lowering-*.f64
1794×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07028539
124438173
086808173
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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))
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e
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(cos v)
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(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
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(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
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(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (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)))))))
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(* 2/15 (pow v 2))
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(+ (* -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))))))
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(* -1/6 e)
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Outputs
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(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)
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))))))))
(* 1/120 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))
(*.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -2/15 binary64) e) #s(literal 1/120 binary64))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -2/15 binary64) (*.f64 #s(literal 61/120 binary64) e))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -2/15 binary64) e) #s(literal 1/120 binary64))) (*.f64 e (*.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal 61/120 binary64) (*.f64 #s(literal -17/15 binary64) e)))))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e))
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e))))
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))
(+.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -241/120 binary64))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e) (/.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (*.f64 e e)))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -17/15 binary64)) e)) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 v (*.f64 v #s(literal -241/120 binary64))) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))

eval211.0ms (2.3%)

Compiler

Compiled 75679 to 4076 computations (94.6% saved)

prune195.0ms (2.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1271251296
Fresh325
Picked505
Done000
Total1279271306
Accuracy
99.9%
Counts
1306 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
50.4%
(/.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)))
50.5%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
50.4%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)))))
50.5%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
52.0%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
50.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
51.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.7%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
98.5%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
▶99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
▶50.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
49.6%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
2.4%
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
▶50.6%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
50.0%
(*.f64 e (-.f64 v (*.f64 e v)))
97.8%
(*.f64 e (sin.f64 v))
49.9%
(*.f64 e v)
▶6.1%
(sin.f64 v)
▶4.6%
v
Compiler

Compiled 960 to 566 computations (41% saved)

simplify99.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓cost-diff128
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff128
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Rules
2394×fma-define
1048×fma-lowering-fma.f32
1048×fma-lowering-fma.f64
832×*-lowering-*.f32
832×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023143
163139
2175138
3571137
41273135
52095135
62716135
73152135
83322135
93388135
103407135
113411135
123412135
133412135
03412135
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
v
(/ 1 (+ (cos v) (/ 1 e)))
1
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
e
v
(* e (/ 1 (/ (+ e 1) v)))
e
(/ 1 (/ (+ e 1) v))
1
(/ (+ e 1) v)
(+ e 1)
v
(* v (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))))
v
(+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))
(* v v)
(* e (+ (* (* v v) 1/120) -1/6))
(+ (* (* v v) 1/120) -1/6)
(* (* v v) 1/120)
1/120
-1/6
(sin v)
v
Outputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
v
(* e (/ 1 (/ (+ e 1) v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
e
(/ 1 (/ (+ e 1) v))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(/ (+ e 1) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
v
(* v (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))))
(*.f64 v (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
v
(+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6))))
(*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 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 (+ (* (* v v) 1/120) -1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* v v)
(*.f64 v v)
(* e (+ (* (* v v) 1/120) -1/6))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* (* v v) 1/120) -1/6)
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (* v v) 1/120)
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(sin v)
(sin.f64 v)
v

localize112.0ms (1.2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓accuracy99.1%
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
✓accuracy88.0%
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.8%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
79.0ms256×0valid
Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 13.0ms (26.8% of total)
ival-div: 8.0ms (16.5% of total)
ival-cos: 8.0ms (16.5% of total)
...c/correct-round.rkt:119:19: 8.0ms (16.5% of total)
ival-sin: 7.0ms (14.4% of total)
ival-add: 5.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
15 → 300
Calls
Call 1
Inputs
#<alt (* (sin v) (/ 1 (+ (cos v) (/ 1 e))))>
#<alt (sin v)>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (* e (/ 1 (/ (+ e 1) v)))>
#<alt (/ 1 (/ (+ e 1) v))>
#<alt (/ (+ e 1) v)>
#<alt (+ e 1)>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6))))>
#<alt (/ e (+ e 1))>
#<alt (cos v)>
#<alt (* e (+ (* (* v v) 1/120) -1/6))>
#<alt (* (* v v) 1/120)>
#<alt (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 (+ 1 (/ 1 e)))>
#<alt (+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (+ (* (pow v 2) (+ (* (pow v 2) (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (+ (* (pow v 2) (+ (* (pow v 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (+ 1 (/ 1 e)))) (* 1/48 (/ 1 (pow (+ 1 (/ 1 e)) 3))))))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* 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 v>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* e (- (* e v) v)))>
#<alt (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))>
#<alt (/ v e)>
#<alt (/ (+ v (* -1 (/ v e))) e)>
#<alt (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)>
#<alt (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)>
#<alt (/ v e)>
#<alt (* -1 (/ (+ (* -1 v) (/ v e)) e))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (* e (pow v 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))) (/ e (+ 1 e))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* e (+ (* e (+ (* -1 v) (* e v))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* e (+ (* e (+ (* -1 v) (* e (+ v (* -1 (* e v)))))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* e (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (+ (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6)) (/ v e)))>
#<alt (* e (+ (* -1 (/ v (pow e 2))) (+ (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6)) (/ v e))))>
#<alt (* e (+ (* -1 (/ v (pow e 2))) (+ (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6)) (+ (/ v e) (/ v (pow e 3))))))>
#<alt (* e (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* -1 (* e (+ (* -1 (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))) (* -1 (/ v e)))))>
#<alt (* -1 (* e (+ (* -1 (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))) (* -1 (/ (+ v (* -1 (/ v e))) e)))))>
#<alt (* -1 (* e (+ (* -1 (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))) (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (+ 1 (+ (* e (- e 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (+ 1 (+ (* e (- (* e (+ 1 (* -1 e))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (+ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) (/ 1 e)))>
#<alt (* e (- (+ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) (/ 1 e)) (/ 1 (pow e 2))))>
#<alt (* e (- (+ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) (+ (/ 1 e) (/ 1 (pow e 3)))) (/ 1 (pow e 2))))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* -1 (* e (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) (/ 1 e))))>
#<alt (* -1 (* e (+ (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) (* -1 (/ (- 1 (/ 1 e)) e)))))>
#<alt (* -1 (* e (+ (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))>
#<alt (/ e (+ 1 e))>
#<alt (+ (* -1/6 (* e (pow v 2))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))) (/ e (+ 1 e)))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (* (pow v 4) (+ 1 e))))))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<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 (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* e (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* -1/6 e)>
#<alt (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))>
#<alt (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))>
#<alt (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* 1/120 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
Calls

75 calls:

TimeVariablePointExpression
8.0ms
e
@-inf
(/ (+ e 1) v)
1.0ms
v
@0
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
1.0ms
v
@inf
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
1.0ms
e
@0
(* e (+ (* (* v v) 1/120) -1/6))
1.0ms
v
@inf
(* v (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))))

rewrite308.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3252×*-lowering-*.f32
3252×*-lowering-*.f64
3200×/-lowering-/.f32
3200×/-lowering-/.f64
1856×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023112
1148109
21244109
08314109
Stop Event
1×iter limit
1×node limit
Counts
15 → 511
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
(/ 1 (+ (cos v) (/ 1 e)))
(+ (cos v) (/ 1 e))
(* e (/ 1 (/ (+ e 1) v)))
(/ 1 (/ (+ e 1) v))
(/ (+ e 1) v)
(+ e 1)
(* v (+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))))
(+ (/ e (+ e 1)) (* (* v v) (* e (+ (* (* v v) 1/120) -1/6))))
(/ e (+ e 1))
(cos v)
(* e (+ (* (* v v) 1/120) -1/6))
(* (* v v) 1/120)
(* (* v v) (* e (+ (* (* v v) 1/120) -1/6)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (*.f64 (sin.f64 v) #s(literal -1 binary64))))
(/.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 (/.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)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (/.f64 (sin.f64 v) #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 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(sin.f64 v)
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(-.f64 (/.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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (/.f64 (cos.f64 v) e) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(-.f64 (/.f64 (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) e))) (/.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.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 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))
(/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))))
(pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.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 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))))
(*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64)))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)))
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(*.f64 (*.f64 e (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) e) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) e) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(*.f64 v (*.f64 v #s(literal 1/120 binary64)))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 1/120 binary64)) v)
(+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))))
(+.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))))
(fma.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))
(fma.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))))
(fma.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)))
(fma.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (*.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))) (*.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v))) (-.f64 (*.f64 (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))) (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))) (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64))))) (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e))) (*.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))) (*.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))))) (-.f64 (*.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64)) (*.f64 (*.f64 v (*.f64 v e)) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v))) (*.f64 (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v)))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v #s(literal 1/120 binary64)) e)) (*.f64 v v)) (*.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))))) (-.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))) (*.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e))) (*.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) (*.f64 v (*.f64 v e)))))
(*.f64 v (*.f64 (*.f64 v e) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v e))))
(*.f64 e (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v v)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v e)))
(*.f64 (*.f64 e (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 v e) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v)
(*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e)
(*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))

simplify260.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4362×*-lowering-*.f32
4362×*-lowering-*.f64
1766×+-lowering-+.f64
1766×+-lowering-+.f32
1254×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04153209
114623066
246083041
083733041
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 (+ 1 (/ 1 e)))
(+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (+ 1 (/ 1 e)))) (* 1/48 (/ 1 (pow (+ 1 (/ 1 e)) 3))))))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
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(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
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(/ (+ 1 e) v)
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1
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(cos v)
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Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (cos v))
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(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* -1/6 (* e (pow v 2)))
(*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))
(* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* 1/120 (* e (pow v 4)))
(*.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* 1/120 (* e (pow v 4)))
(*.f64 v (*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) v) v) (*.f64 e #s(literal 1/120 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* e (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))

eval118.0ms (1.3%)

Compiler

Compiled 22672 to 2293 computations (89.9% saved)

prune117.0ms (1.3%)

Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New85918877
Fresh61622
Picked235
Done000
Total86737904
Accuracy
100.0%
Counts
904 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
50.4%
(/.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)))
50.5%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
50.5%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
50.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
51.9%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
▶99.7%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
49.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
49.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
96.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
98.5%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
70.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
49.6%
(*.f64 (+.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 v e))
99.3%
(*.f64 (sin.f64 v) (pow.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
70.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
▶97.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
97.8%
(*.f64 (sin.f64 v) e)
49.6%
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
50.4%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
50.4%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
49.6%
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
4.3%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
▶49.9%
(*.f64 v e)
2.4%
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
49.8%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
50.0%
(*.f64 e (-.f64 v (*.f64 e v)))
▶49.8%
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
✓6.1%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 1226 to 740 computations (39.6% saved)

simplify144.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓cost-diff256
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
✓cost-diff0
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff128
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
Rules
2036×sum3-define
1736×sum5-define
1574×*-lowering-*.f32
1574×*-lowering-*.f64
1216×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029174
187162
2277162
3960160
42833158
55500158
08153158
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ e (* (/ 1 (sin v)) (+ 1 (* e (cos v)))))
e
(* (/ 1 (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
1
(sin v)
v
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
(* v e)
v
e
(/ 1 (/ (+ e 1) (* e v)))
1
(/ (+ e 1) (* e v))
(+ e 1)
e
(* e v)
v
(* e (* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))))
e
(* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e)))
v
(+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))
(* v (* v (+ -1/6 (* (* v v) 1/120))))
(* v (+ -1/6 (* (* v v) 1/120)))
(+ -1/6 (* (* v v) 1/120))
-1/6
(* (* v v) 1/120)
(* v v)
1/120
(- 1 e)
1
(* (sin v) (/ 1 (/ 1 e)))
(sin v)
v
(/ 1 (/ 1 e))
1
(/ 1 e)
e
Outputs
(/ e (* (/ 1 (sin v)) (+ 1 (* e (cos v)))))
(/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
e
(* (/ 1 (sin v)) (+ 1 (* e (cos v))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)
(* v e)
(*.f64 e v)
v
e
(/ 1 (/ (+ e 1) (* e v)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(/ (+ e 1) (* e v))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v)
(+ e 1)
(+.f64 e #s(literal 1 binary64))
e
(* e v)
(*.f64 e v)
v
(* e (* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))))
(*.f64 (*.f64 e v) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e)))
e
(* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e)))
(*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e)))
v
(+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))
(* v (* v (+ -1/6 (* (* v v) 1/120))))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(* v (+ -1/6 (* (* v v) 1/120)))
(*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(+ -1/6 (* (* v v) 1/120))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* v v) 1/120)
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* v v)
(*.f64 v v)
1/120
#s(literal 1/120 binary64)
(- 1 e)
(-.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* (sin v) (/ 1 (/ 1 e)))
(*.f64 e (sin.f64 v))
(sin v)
(sin.f64 v)
v
(/ 1 (/ 1 e))
e
1
#s(literal 1 binary64)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e

localize138.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.8%
(*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
✓accuracy99.6%
(*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
✓accuracy99.1%
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
✓accuracy95.2%
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.7%
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
✓accuracy98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
Results
94.0ms256×0valid
Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 18.0ms (32.7% of total)
ival-div: 10.0ms (18.1% of total)
ival-sin: 7.0ms (12.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (12.7% of total)
ival-cos: 6.0ms (10.9% of total)
ival-add: 5.0ms (9.1% of total)
ival-sub: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
19 → 360
Calls
Call 1
Inputs
#<alt (/ e (* (/ 1 (sin v)) (+ 1 (* e (cos v)))))>
#<alt (* (/ 1 (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (sin v)>
#<alt (* v e)>
#<alt (/ 1 (/ (+ e 1) (* e v)))>
#<alt (/ (+ e 1) (* e v))>
#<alt (+ e 1)>
#<alt (* e v)>
#<alt (* e (* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))))>
#<alt (* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e)))>
#<alt (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))>
#<alt (* v (* v (+ -1/6 (* (* v v) 1/120))))>
#<alt (* (sin v) (/ 1 (/ 1 e)))>
#<alt (/ 1 (/ 1 e))>
#<alt (/ 1 e)>
#<alt (* e (cos v))>
#<alt (* (* v v) 1/120)>
#<alt (* v (+ -1/6 (* (* v v) 1/120)))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ (+ (/ 1 v) (/ e v)) e)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (+ (/ 1 v) (/ 1 (* e v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 e) (* e v))>
#<alt 1>
#<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 (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* v (+ (* -1/6 (* e (pow v 2))) (* e (- 1 e))))>
#<alt (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ (* e (- 1 e)) (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ (* e (- 1 e)) (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* v (- 1 e))>
#<alt (* v (- (+ 1 (* -1/6 (pow v 2))) e))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e))>
#<alt (* 1/120 (pow v 5))>
#<alt (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (/ (- 1 e) (pow v 4))) (* 1/6 (/ 1 (pow v 2)))) 1/120)))>
#<alt (* -1 (* (pow v 5) (- (+ (* -1 (/ (- 1 e) (pow v 4))) (* 1/6 (/ 1 (pow v 2)))) 1/120)))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* -1 (* e v))>
#<alt (* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))>
#<alt (* -1 (* e v))>
#<alt (* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))>
#<alt (* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))>
#<alt (* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))>
#<alt (- 1 e)>
#<alt (- (+ 1 (* -1/6 (pow v 2))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)>
#<alt (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))>
#<alt (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* -1 e)>
#<alt (* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))>
#<alt (* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))>
#<alt (* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))>
#<alt (* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))>
#<alt (* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt e>
#<alt 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 (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 (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* 1/120 (pow v 2))>
#<alt (* -1/6 v)>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* v (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 3))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
Calls

90 calls:

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

rewrite340.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3784×*-lowering-*.f32
3784×*-lowering-*.f64
3322×/-lowering-/.f32
3322×/-lowering-/.f64
1890×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029135
1184125
21550125
08220125
Stop Event
1×iter limit
1×node limit
Counts
19 → 706
Calls
Call 1
Inputs
(/ e (* (/ 1 (sin v)) (+ 1 (* e (cos v)))))
(* (/ 1 (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(sin v)
(* v e)
(/ 1 (/ (+ e 1) (* e v)))
(/ (+ e 1) (* e v))
(+ e 1)
(* e v)
(* e (* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))))
(* v (+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e)))
(+ (* v (* v (+ -1/6 (* (* v v) 1/120)))) (- 1 e))
(* v (* v (+ -1/6 (* (* v v) 1/120))))
(* (sin v) (/ 1 (/ 1 e)))
(/ 1 (/ 1 e))
(/ 1 e)
(* e (cos v))
(* (* v v) 1/120)
(* v (+ -1/6 (* (* v v) 1/120)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(neg.f64 (*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 e (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v))))))
(/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (neg.f64 (*.f64 e (sin.f64 v)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (neg.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (/.f64 #s(literal 1 binary64) e))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.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)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(*.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))))))) (/.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 e (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 e (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (/.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (/.f64 e #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (sin.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 e #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (-.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (/.f64 e #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 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)))
(-.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) (/.f64 (pow.f64 (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))))
(fma.f64 e (*.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 (cos.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) (cos.f64 v) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (cos.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
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(pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 e #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) e)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1/2 binary64)) (pow.f64 e #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(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)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.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 0 binary64) e))
(/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(pow.f64 e #s(literal -1 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 -1/2 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) e))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (*.f64 (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) e))
(*.f64 e (cos.f64 v))
(*.f64 e (/.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.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 #s(literal -1 binary64) (/.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(*.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) e)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (cos.f64 v) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 v) #s(literal 1 binary64)) e)
(*.f64 (/.f64 (cos.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 v) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(*.f64 v (*.f64 v #s(literal 1/120 binary64)))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 1/120 binary64)) v)
(+.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(+.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (/.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (-.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(fma.f64 v #s(literal -1/6 binary64) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) v (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/120 binary64)) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) v (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 (*.f64 v #s(literal 1/120 binary64)) (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 (*.f64 v (*.f64 v v)) #s(literal 1/120 binary64) (*.f64 v #s(literal -1/6 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(/.f64 (*.f64 v (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 v (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v))))
(/.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)))) v) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64))) v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 v (*.f64 v v))))) (neg.f64 (+.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (neg.f64 (-.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 v (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 v (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)))) v)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64))) v)) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 v v)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 v (*.f64 v v))) (*.f64 #s(literal -1/216 binary64) (*.f64 v (*.f64 v v)))) (+.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) v)

simplify280.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5154×*-lowering-*.f32
5154×*-lowering-*.f64
2592×+-lowering-+.f64
2592×+-lowering-+.f32
1268×neg-lowering-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03683317
111963128
238383117
083923117
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ 1 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))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
1
(+ 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)
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* e (* v (- 1 e)))
(* v (+ (* -1/6 (* e (pow v 2))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ (* e (- 1 e)) (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ (* e (- 1 e)) (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* v (- 1 e))
(* v (- (+ 1 (* -1/6 (pow v 2))) e))
(* v (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e))
(* v (- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e))
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(* 1/120 (pow v 5))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (+ (* -1 (/ (- 1 e) (pow v 4))) (* 1/6 (/ 1 (pow v 2)))) 1/120)))
(* -1 (* (pow v 5) (- (+ (* -1 (/ (- 1 e) (pow v 4))) (* 1/6 (/ 1 (pow v 2)))) 1/120)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(+ (* -1 (* e v)) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* -1 (* e v))
(* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* e (+ (* -1 v) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* -1 (* e v))
(* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))
(* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))
(* -1 (* e (+ v (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))))
(- 1 e)
(- (+ 1 (* -1/6 (pow v 2))) e)
(- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)
(- (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (/ e (pow v 4)))))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(+ 1 (+ (* -1 e) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* -1 e)
(* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))
(* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))
(* e (- (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e)) 1))
(* -1 e)
(* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))
(* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))
(* -1 (* e (+ 1 (* -1 (/ (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) e)))))
(* -1/6 (pow v 2))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
e
e
e
e
e
e
e
e
e
e
e
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 (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))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* 1/120 (pow v 2))
(* -1/6 v)
(* v (- (* 1/120 (pow v 2)) 1/6))
(* v (- (* 1/120 (pow v 2)) 1/6))
(* v (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 3))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 3) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 3))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 3) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.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))))
(- (+ (* -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 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (*.f64 e (*.f64 e e)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (+.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (+.f64 e #s(literal 1 binary64)))) (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))))) (+.f64 (*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/720 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))))) (+.f64 (+.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/120 binary64))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64)))))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
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e
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eval127.0ms (1.4%)

Compiler

Compiled 23814 to 2782 computations (88.3% saved)

prune158.0ms (1.7%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1068221090
Fresh171229
Picked325
Done033
Total1088391127
Accuracy
100.0%
Counts
1127 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
97.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
49.8%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
51.8%
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
50.5%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓99.7%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
49.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
49.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
48.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
49.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
96.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
2.5%
(-.f64 v (/.f64 v e))
97.3%
(*.f64 (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 1 binary64)))
97.3%
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
98.5%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
73.0%
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
70.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
49.6%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
49.6%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
97.4%
(*.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 2 binary64)))
97.3%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓99.7%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
97.8%
(*.f64 (sin.f64 v) e)
49.6%
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
49.7%
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
✓49.9%
(*.f64 v e)
49.8%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
50.0%
(*.f64 e (-.f64 v (*.f64 e v)))
27.1%
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
49.8%
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
49.8%
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
49.6%
(*.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)))))))
✓6.1%
(sin.f64 v)
✓4.6%
v
Compiler

Compiled 1685 to 638 computations (62.1% saved)

regimes69.0ms (0.7%)

Counts
76 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 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 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (/.f64 #s(literal -1 binary64) e) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (sin.f64 v) (pow.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

21.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
e
19.0ms
v
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes62.0ms (0.7%)

Counts
67 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 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 e (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (*.f64 e (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

19.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
18.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes40.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Calls

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes40.0ms (0.4%)

Counts
58 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

17.0ms
v
15.0ms
e
Results
AccuracySegmentsBranch
99.6%1v
99.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.4%)

Counts
57 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

17.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
98.5%1e
98.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.4%)

Counts
54 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
Outputs
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
Calls

2 calls:

16.0ms
e
14.0ms
v
Results
AccuracySegmentsBranch
98.5%1v
98.5%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.4%)

Counts
51 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

15.0ms
v
14.0ms
e
Results
AccuracySegmentsBranch
97.8%1e
97.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
Calls

2 calls:

13.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
52.0%1v
52.0%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v e)) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
Outputs
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
Calls

2 calls:

14.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
51.9%1e
51.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.3%)

Counts
41 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))) v))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
Calls

2 calls:

15.0ms
v
11.0ms
e
Results
AccuracySegmentsBranch
51.8%1e
51.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
35 → 2
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
Outputs
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
Calls

2 calls:

15.0ms
e
10.0ms
v
Results
AccuracySegmentsBranch
50.6%1e
52.2%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 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 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.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 v e))
(*.f64 e (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1 binary64) e))))
Outputs
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
Calls

2 calls:

9.0ms
e
9.0ms
v
Results
AccuracySegmentsBranch
50.6%1e
50.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

2 calls:

3.0ms
e
3.0ms
v
Results
AccuracySegmentsBranch
50.0%1e
50.0%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
49.9%1e
49.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.4618338821633637
10.695648283035638
Results
15.0ms112×0valid
Compiler

Compiled 256 to 167 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 4.0ms (38% of total)
ival-cos: 3.0ms (28.5% of total)
ival-mult: 2.0ms (19% of total)
ival-div: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify104.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
818×distribute-lft-neg-in_binary64
546×neg-mul-1_binary64
454×cancel-sign-sub_binary64
436×unsub-neg_binary64
436×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091275
1168275
2223275
3278275
4357275
5447275
6550275
7677275
8908275
91208275
101455275
111901275
122292275
132568275
142726275
152770275
162782275
172782275
182782275
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(if (<=.f64 v #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v))))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (-.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 (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 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 #s(literal -1/5040 binary64) e) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal -1/6 binary64))) (*.f64 v (*.f64 v (+.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal -1/6 binary64)) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))))))))))))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (*.f64 (*.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 (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (+.f64 (*.f64 e #s(literal -1/2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/6 binary64))))))) v))
(if (<=.f64 v #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e v))))
(if (<=.f64 v #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 e (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e v))))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
v

soundness2.1s (23.4%)

Rules
5154×*-lowering-*.f32
5154×*-lowering-*.f64
5012×+-lowering-+.f64
5012×+-lowering-+.f32
5002×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04153209
114623066
246083041
083733041
01821121
15961063
219221040
369031040
084421040
0927
13625
224925
3240625
0893625
03683317
111963128
238383117
083923117
07028539
124438173
086808173
044403
1314364
23659364
08726364
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 529 to 262 computations (50.5% saved)

preprocess90.0ms (1%)

Remove

(negabs v)

Compiler

Compiled 750 to 318 computations (57.6% saved)

end0.0ms (0%)

Profiling

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