Trigonometry A

Time bar (total: 8.6s)

analyze9.0ms (0.1%)

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

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (22.6% of total)
ival-mult: 1.0ms (22.6% of total)
ival-sin: 1.0ms (22.6% of total)
ival-<=: 1.0ms (22.6% 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)

sample1.4s (16.7%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 897.0ms
ival-sin: 339.0ms (37.8% of total)
ival-cos: 178.0ms (19.8% of total)
ival-mult: 145.0ms (16.2% of total)
ival-<=: 84.0ms (9.4% of total)
ival-div: 78.0ms (8.7% of total)
ival-add: 49.0ms (5.5% of total)
const: 12.0ms (1.3% of total)
ival-and: 10.0ms (1.1% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess117.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02972
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)

explain106.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 v)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-(*.f64 e (cos.f64 v))
00-0-e
00-0-#s(literal 1 binary64)
Results
68.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sin: 13.0ms (31.4% of total)
ival-mult: 12.0ms (29% of total)
ival-cos: 10.0ms (24.2% of total)
ival-div: 3.0ms (7.2% of total)
ival-add: 3.0ms (7.2% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.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)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize43.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Results
30.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 6.0ms (32.6% of total)
ival-cos: 5.0ms (27.2% of total)
ival-mult: 4.0ms (21.7% of total)
ival-div: 2.0ms (10.9% of total)
ival-add: 1.0ms (5.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

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

30 calls:

TimeVariablePointExpression
4.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))
1.0ms
e
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite348.0ms (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
0929
13627
225027
3241927
0896627
Stop Event
1×iter limit
1×node limit
Counts
6 → 293
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(+ 1 (* e (cos v)))
(* e (cos v))
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify298.0ms (3.5%)

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

Useful iterations: 2 (0.0ms)

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

eval51.0ms (0.6%)

Compiler

Compiled 10326 to 1051 computations (89.8% saved)

prune50.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New40211413
Fresh000
Picked101
Done000
Total40311414
Accuracy
100.0%
Counts
414 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(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))
▶99.9%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
▶98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
▶52.5%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
▶99.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
52.2%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
▶52.4%
(*.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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
98.3%
(*.f64 e (sin.f64 v))
99.7%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Compiler

Compiled 496 to 272 computations (45.2% saved)

simplify221.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
✓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-diff1152
(+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
✓cost-diff1152
(*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
✓cost-diff1152
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))))
✓cost-diff1152
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (-.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))))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
Rules
4100×*-lowering-*.f32
4100×*-lowering-*.f64
1778×+-lowering-+.f64
1778×+-lowering-+.f32
960×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052773
1167700
2574651
32349639
46520622
08277622
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* e (sin v)) (/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v)))))
(* e (sin v))
e
(sin v)
v
(/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
1
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* e e)
(+ 1/2 (* 1/2 (cos (* 2 v))))
1/2
(* 1/2 (cos (* 2 v)))
(cos (* 2 v))
(* 2 v)
2
(- 1 (* e (cos v)))
(* e (cos v))
(cos v)
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(/ e (+ e 1))
e
(+ e 1)
1
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(* v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(/ (* e -1/6) (+ e 1))
(* e -1/6)
-1/6
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/ 1/2 (+ e 1))
1/2
(/ (* e e) (+ e 1))
(* e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(/ 1/120 (+ e 1))
1/120
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
-1/2
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(* -1/24 (* e e))
-1/24
(* (+ e 1) (+ e 1))
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
v
(+ 1 (* e (cos v)))
1
(* e (cos v))
e
(cos v)
Outputs
(/ (* e (sin v)) (/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v)))))
(/.f64 (*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (*.f64 e #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (*.f64 e #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (*.f64 e #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(* e e)
(*.f64 e e)
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 v)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))
(cos (* 2 v))
(cos.f64 (*.f64 v #s(literal 2 binary64)))
(* 2 v)
(*.f64 v #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 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)
(/ (* e v) (+ e 1))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
e
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (+.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))))))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))))
v
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (+.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))))))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))))
(/ e (+ e 1))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (+.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))))))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))))
(* v v)
(*.f64 v v)
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(+.f64 (*.f64 e (+.f64 (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))))))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))))
(+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e #s(literal 1/2 binary64)) (+.f64 e #s(literal 1 binary64)))))
(/ (* e -1/6) (+ e 1))
(*.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))
(* e -1/6)
(*.f64 e #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/ 1/2 (+ e 1))
(/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (* e e) (+ e 1))
(/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))
(* e e)
(*.f64 e e)
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(*.f64 (*.f64 v v) (*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))
(+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))
(*.f64 e (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))) (/.f64 (*.f64 e #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(*.f64 e (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e))))
(- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) e)))
(/ 1/120 (+ e 1))
(/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64)))
1/120
#s(literal 1/120 binary64)
(/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))
(/.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64)))
(* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 e #s(literal -1/4 binary64)) (+.f64 e #s(literal 1 binary64)))))
-1/2
#s(literal -1/2 binary64)
(/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))
(/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(* -1/24 (* e e))
(*.f64 e (*.f64 e #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(* (+ e 1) (+ e 1))
(*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ e 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(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))
e
(cos v)
(cos.f64 v)

localize295.0ms (3.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
✓accuracy99.8%
(*.f64 e (cos.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)))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))
✓accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (*.f64 e e))
✓accuracy99.5%
(*.f64 e #s(literal -1/6 binary64))
✓accuracy85.6%
(*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.9%
(*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))
Results
157.0ms256×0valid
Compiler

Compiled 850 to 53 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 30.0ms (33.3% of total)
ival-div: 19.0ms (21.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (12.2% of total)
ival-cos: 10.0ms (11.1% of total)
ival-add: 8.0ms (8.9% of total)
ival-sin: 6.0ms (6.7% of total)
ival-sub: 4.0ms (4.4% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series75.0ms (0.9%)

Counts
23 → 468
Calls
Call 1
Inputs
#<alt (/ (* e (sin v)) (/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v)))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))>
#<alt (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))>
#<alt (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))>
#<alt (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))>
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (* (/ (sin v) (+ 1 (* e (cos v)))) e)>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (* e (cos v))>
#<alt (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))>
#<alt (* e -1/6)>
#<alt (* -1/24 (* e e))>
#<alt (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))>
#<alt (cos v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (* e (* v (- 1 e))) (- 1 (pow e 2)))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))>
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#<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 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 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 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (pow e 2)>
#<alt (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))>
#<alt (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))>
#<alt (* 1/120 (* e (pow v 2)))>
#<alt (* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))>
#<alt (* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))>
#<alt (+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))>
#<alt (* 2/15 (pow v 2))>
#<alt (+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* -1/24 (pow e 2))>
#<alt (* 1/120 e)>
#<alt (* e (+ 1/120 (* -11/120 e)))>
#<alt (* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))>
#<alt (* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))>
#<alt (- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))>
#<alt 7/40>
#<alt (- 7/40 (* 71/120 (/ 1 e)))>
#<alt (+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))>
#<alt (+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

117 calls:

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

rewrite332.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4282×*-lowering-*.f32
4282×*-lowering-*.f64
1906×/-lowering-/.f32
1906×/-lowering-/.f64
1588×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052471
1357372
24159372
08372372
Stop Event
1×iter limit
1×node limit
Counts
23 → 443
Calls
Call 1
Inputs
(/ (* e (sin v)) (/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v)))))
(* e (sin v))
(sin v)
(/ (- 1 (* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(* v (+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))))
(+ (/ e (+ e 1)) (* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))))
(* (* v v) (+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))))
(+ (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1)))) (* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1))))))
(/ (* e (sin v)) (+ e 1))
(* (/ (sin v) (+ 1 (* e (cos v)))) e)
(/ (sin v) (+ 1 (* e (cos v))))
(+ 1 (* e (cos v)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* e (cos v))
(* (* e e) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (* v v) (+ (* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1)))) (/ (* -1/24 (* e e)) (* (+ e 1) (+ e 1)))))
(* e -1/6)
(* -1/24 (* e e))
(* e (- (/ 1/120 (+ e 1)) (/ (* -1/2 (+ (/ (* e -1/6) (+ e 1)) (* (/ 1/2 (+ e 1)) (/ (* e e) (+ e 1))))) (+ e 1))))
(cos v)
Outputs
(+.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 v #s(literal 2 binary64)))))))) #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 v #s(literal 2 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))))
(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 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.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 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.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 (*.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 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(/.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 v #s(literal 2 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.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 v #s(literal 2 binary64)))))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.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 v #s(literal 2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(*.f64 (sin.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #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 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(*.f64 (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.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 v #s(literal 2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
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(+.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) e) (*.f64 (*.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 #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (+.f64 e #s(literal 1 binary64)))) e))
(/.f64 (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (-.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e)))))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e (-.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (+.f64 e #s(literal 1 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 #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (+.f64 e #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 e (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) (+.f64 e #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) e) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (+.f64 e #s(literal 1 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 #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (+.f64 e #s(literal 1 binary64))))))) e) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) (/.f64 #s(literal -1/2 binary64) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) (+.f64 e #s(literal 1 binary64)))) e) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))) #s(literal -1/2 binary64)))))
(*.f64 e (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) e))))) (+.f64 e #s(literal 1 binary64))) e)
(cos.f64 v)

simplify367.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
5218×*-lowering-*.f32
5218×*-lowering-*.f64
4640×+-lowering-+.f64
4640×+-lowering-+.f32
1322×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103810461
136529364
082539364
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (* e (* v (- 1 e))) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (- 1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (- 1 (pow e 2)) 2)))) (/ (* e (- 1 e)) (- 1 (pow e 2)))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* e (sin v))
(* e (sin v))
(* 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 (- (* e (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))
(+ 1 (* e (- (* e (- (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* e (* (cos v) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (* -1 (pow (cos v) 2)))))) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))
(/ (* e (+ 1/2 (* 1/2 (cos (* 2 v))))) (cos v))
(* e (+ (* 1/2 (/ (cos (* 2 v)) (cos v))) (+ (* 1/2 (/ (cos (* 2 v)) (* e (pow (cos v) 2)))) (+ (* 1/2 (/ 1 (cos v))) (* 1/2 (/ 1 (* e (pow (cos v) 2))))))))
(* e (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (pow (cos v) 3))) (/ 1 (cos v))) (pow e 2))) (+ (* 1/2 (/ (cos (* 2 v)) (cos v))) (* 1/2 (/ 1 (cos v))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (* e (pow (cos v) 2))))))
(* e (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (pow (cos v) 4))) (/ 1 (pow (cos v) 2))) (pow e 3))) (+ (* 1/2 (/ (cos (* 2 v)) (cos v))) (* 1/2 (/ 1 (cos v))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (* e (pow (cos v) 2)))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* (pow e 2) (cos v)))))))
(/ (* e (+ 1/2 (* 1/2 (cos (* 2 v))))) (cos v))
(* -1 (* e (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (cos v))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (* e (pow (cos v) 2)))))))
(* -1 (* e (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ 1 (cos v)) (+ (* 1/2 (/ 1 (pow (cos v) 3))) (* 1/2 (/ (cos (* 2 v)) (pow (cos v) 3))))) e)) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (pow (cos v) 2)))) e)))))
(* -1 (* e (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (cos v))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ 1 (pow (cos v) 4))) (* 1/2 (/ (cos (* 2 v)) (pow (cos v) 4)))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) (+ (* 1/2 (/ 1 (pow (cos v) 3))) (* 1/2 (/ (cos (* 2 v)) (pow (cos v) 3))))) e)) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 v)))) (pow (cos v) 2)))) e)))))
(/ (- 1 (pow e 2)) (- 1 e))
(- (+ (* (pow v 2) (- (/ (pow e 2) (- 1 e)) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))
(- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (* -1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (/ (pow e 2) (- 1 e)) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (- 1 e)))))) (/ (pow e 2) (- 1 e))) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))
(- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* -1/3 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (* 2/45 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (* e (- (/ (pow e 2) (- 1 e)) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (/ (pow e 2) (- 1 e)) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (- 1 e)))))) (- 1 e)))))))) (+ (* -1/24 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (/ (pow e 2) (- 1 e)) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (- 1 e)))))) (/ (pow e 2) (- 1 e))) (* 1/2 (/ (* e (- 1 (pow e 2))) (pow (- 1 e) 2))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(/ (- 1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))) (- 1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
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(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* (pow v 2) (+ (* -1/6 (/ e (* (pow v 2) (+ 1 e)))) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/2 (/ (pow e 2) (* (pow v 2) (pow (+ 1 e) 2)))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* 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)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(/ (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 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (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) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) 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))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
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)))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(* 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))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* (pow v 2) (+ (* -1/24 (/ (pow e 2) (pow (+ 1 e) 2))) (* e (- (* 1/120 (/ 1 (+ 1 e))) (* -1/2 (/ (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) (+ 1 e)))))))
(* 1/120 (* e (pow v 2)))
(* e (+ (* -2/15 (* e (pow v 2))) (* 1/120 (pow v 2))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* 61/120 (* e (pow v 2)))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(* 2/15 (pow v 2))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))
(+ (* -241/120 (/ (pow v 2) (pow e 3))) (+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2))))))
(* 2/15 (pow v 2))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -17/15 (/ (pow v 2) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* -1/24 (pow e 2))
(* 1/120 e)
(* e (+ 1/120 (* -11/120 e)))
(* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))
(* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))
7/40
(- 7/40 (* 71/120 (/ 1 e)))
(+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))
(+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 e (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(-.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (/.f64 (sin.f64 v) e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 (/.f64 (sin.f64 v) e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))))))
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(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -2/15 binary64)) (*.f64 (*.f64 e (*.f64 v v)) #s(literal 61/120 binary64))))))
(* e (+ (* 1/120 (pow v 2)) (* e (+ (* -2/15 (pow v 2)) (* e (+ (* -17/15 (* e (pow v 2))) (* 61/120 (pow v 2))))))))
(*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal -2/15 binary64)) (*.f64 e (+.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (*.f64 (*.f64 e (*.f64 v v)) #s(literal -17/15 binary64))))))))
(* 2/15 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 2/15 binary64))
(+ (* -61/120 (/ (pow v 2) e)) (* 2/15 (pow v 2)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -61/120 binary64)) e))
(+ (* -61/120 (/ (pow v 2) e)) (+ (* 2/15 (pow v 2)) (* 17/15 (/ (pow v 2) (pow e 2)))))
(+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.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 (*.f64 v v) #s(literal -241/120 binary64)) (*.f64 e (*.f64 e e))) (+.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.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 #s(literal -17/15 binary64) (/.f64 (*.f64 v v) e))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -241/120 (/ (pow v 2) e)) (* 17/15 (pow v 2))) e)) (* 61/120 (pow v 2))) e)) (* 2/15 (pow v 2)))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/15 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 61/120 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 17/15 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -241/120 binary64)) e)) e)) e))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* -1/24 (pow e 2))
(*.f64 (*.f64 e e) #s(literal -1/24 binary64))
(* 1/120 e)
(*.f64 e #s(literal 1/120 binary64))
(* e (+ 1/120 (* -11/120 e)))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -11/120 binary64))))
(* e (+ 1/120 (* e (- (* 17/40 e) 11/120))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e #s(literal 17/40 binary64)) #s(literal -11/120 binary64)))))
(* e (+ 1/120 (* e (- (* e (+ 17/40 (* -121/120 e))) 11/120))))
(*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 e (+.f64 (*.f64 e (+.f64 #s(literal 17/40 binary64) (*.f64 e #s(literal -121/120 binary64)))) #s(literal -11/120 binary64)))))
7/40
#s(literal 7/40 binary64)
(- 7/40 (* 71/120 (/ 1 e)))
(+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal -71/120 binary64) e))
(- (+ 7/40 (/ 151/120 (pow e 2))) (* 71/120 (/ 1 e)))
(+.f64 #s(literal 7/40 binary64) (+.f64 (/.f64 #s(literal 151/120 binary64) (*.f64 e e)) (/.f64 #s(literal -71/120 binary64) e)))
(- (+ 7/40 (/ 151/120 (pow e 2))) (+ (* 71/120 (/ 1 e)) (* 87/40 (/ 1 (pow e 3)))))
(-.f64 (+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal 151/120 binary64) (*.f64 e e))) (+.f64 (/.f64 #s(literal 71/120 binary64) e) (/.f64 #s(literal 87/40 binary64) (*.f64 e (*.f64 e e)))))
7/40
#s(literal 7/40 binary64)
(- 7/40 (* 71/120 (/ 1 e)))
(+.f64 #s(literal 7/40 binary64) (/.f64 #s(literal -71/120 binary64) e))
(+ 7/40 (* -1 (/ (- 71/120 (* 151/120 (/ 1 e))) e)))
(-.f64 #s(literal 7/40 binary64) (/.f64 (+.f64 #s(literal 71/120 binary64) (/.f64 #s(literal -151/120 binary64) e)) e))
(+ 7/40 (* -1 (/ (+ 71/120 (* -1 (/ (- 151/120 (* 87/40 (/ 1 e))) e))) e)))
(-.f64 #s(literal 7/40 binary64) (/.f64 (-.f64 #s(literal 71/120 binary64) (/.f64 (+.f64 #s(literal 151/120 binary64) (/.f64 #s(literal -87/40 binary64) e)) e)) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval295.0ms (3.4%)

Compiler

Compiled 81178 to 4632 computations (94.3% saved)

prune153.0ms (1.8%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1397181415
Fresh336
Picked145
Done000
Total1401251426
Accuracy
100.0%
Counts
1426 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(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))
52.4%
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
52.2%
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
▶52.4%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
52.2%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
✓99.9%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
✓98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 e (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (cos.f64 v)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 v)) (/.f64 #s(literal 1/2 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))))
52.5%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓52.5%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
52.4%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
▶51.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
2.4%
(-.f64 v (/.f64 v e))
✓99.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
52.2%
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
▶98.3%
(*.f64 (sin.f64 v) e)
52.2%
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))
51.8%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
52.2%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
51.9%
(*.f64 e v)
▶99.7%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
5.8%
(sin.f64 v)
▶4.5%
v
Compiler

Compiled 766 to 461 computations (39.8% saved)

simplify187.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))
✓cost-diff0
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓cost-diff0
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓cost-diff0
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
✓cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Rules
3020×*-lowering-*.f32
3020×*-lowering-*.f64
2780×+-lowering-+.f64
2780×+-lowering-+.f32
1468×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027192
179179
2260176
3854176
42538176
54938176
67354176
08046176
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
1
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
v
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
e
v
(/ 1 (/ (/ (+ e 1) e) v))
1
(/ (/ (+ e 1) e) v)
(/ (+ e 1) e)
(+ e 1)
e
v
(/ (* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))) (+ e 1))
(* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))))
e
(* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))
v
(+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))
1
(* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))
(* v v)
(+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)
(* (* v v) (+ 1/120 (* (* v v) -1/5040)))
(+ 1/120 (* (* v v) -1/5040))
1/120
(* (* v v) -1/5040)
-1/5040
-1/6
(+ e 1)
(* (sin v) e)
(sin v)
v
e
Outputs
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
v
(/ 1 (/ (/ (+ e 1) e) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
1
#s(literal 1 binary64)
(/ (/ (+ e 1) e) v)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)
(/ (+ e 1) e)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
e
v
(/ (* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))) (+ e 1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))
(* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))))
e
(* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))))
v
(+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))
(*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))))
(* v v)
(*.f64 v v)
(+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64))
(* (* v v) (+ 1/120 (* (* v v) -1/5040)))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(+ 1/120 (* (* v v) -1/5040))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* v v) -1/5040)
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
-1/6
#s(literal -1/6 binary64)
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
(* (sin v) e)
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
v
e

localize134.0ms (1.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 (sin.f64 v) e)
✓accuracy99.8%
(*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))
✓accuracy99.5%
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
✓accuracy97.0%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.7%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
93.0ms256×0valid
Compiler

Compiled 230 to 28 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 17.0ms (29.4% of total)
ival-div: 10.0ms (17.3% of total)
...c/correct-round.rkt:119:19: 10.0ms (17.3% of total)
ival-cos: 8.0ms (13.8% of total)
ival-add: 6.0ms (10.4% of total)
ival-sin: 6.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.3%)

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

75 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
(* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))))
2.0ms
v
@inf
(/ (* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))) (+ e 1))
2.0ms
e
@0
(* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))))
1.0ms
v
@0
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
1.0ms
e
@0
(/ (* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))) (+ e 1))

rewrite337.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3588×/-lowering-/.f32
3588×/-lowering-/.f64
3326×*-lowering-*.f32
3326×*-lowering-*.f64
1888×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027152
1183141
21592138
08192138
Stop Event
1×iter limit
1×node limit
Counts
17 → 654
Calls
Call 1
Inputs
(* 1 (/ (sin v) (+ (cos v) (/ 1 e))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(+ (cos v) (/ 1 e))
(/ 1 (/ (/ (+ e 1) e) v))
(/ (/ (+ e 1) e) v)
(/ (+ e 1) e)
(+ e 1)
(/ (* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))) (+ e 1))
(* e (* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))))
(* v (+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))))
(+ 1 (* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6)))
(* (sin v) e)
(cos v)
(* (* v v) -1/5040)
(* (* v v) (+ (* (* v v) (+ 1/120 (* (* v v) -1/5040))) -1/6))
(* (* v v) (+ 1/120 (* (* v v) -1/5040)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 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)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (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 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 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)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
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simplify279.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4418×*-lowering-*.f32
4418×*-lowering-*.f64
2216×+-lowering-+.f64
2216×+-lowering-+.f32
1498×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03744030
113003495
243883448
084493448
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 (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(* 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 e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (+ (* -1 (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
(* e (+ (* e (- (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
(* e (+ (* e (- (* e (- (* -1 (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (* -1 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(- (+ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (pow e 2))) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e))
(- (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (pow e 3))) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))) (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (pow e 2))) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))) e)) (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(* -1/5040 (/ (* e (pow v 7)) (+ 1 e)))
(* (pow v 7) (+ (* -1/5040 (/ e (+ 1 e))) (* 1/120 (/ e (* (pow v 2) (+ 1 e))))))
(* (pow v 7) (+ (* -1/6 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -1/5040 (/ e (+ 1 e))) (* 1/120 (/ e (* (pow v 2) (+ 1 e)))))))
(* (pow v 7) (+ (* -1/6 (/ e (* (pow v 4) (+ 1 e)))) (+ (* -1/5040 (/ e (+ 1 e))) (+ (* 1/120 (/ e (* (pow v 2) (+ 1 e)))) (/ e (* (pow v 6) (+ 1 e)))))))
(* -1/5040 (/ (* e (pow v 7)) (+ 1 e)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (* (pow v 2) (+ 1 e)))) (* 1/5040 (/ e (+ 1 e))))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (* (pow v 2) (+ 1 e)))) (+ (* 1/5040 (/ e (+ 1 e))) (* 1/6 (/ e (* (pow v 4) (+ 1 e))))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (* (pow v 6) (+ 1 e)))) (+ (* -1/120 (/ e (* (pow v 2) (+ 1 e)))) (+ (* 1/5040 (/ e (+ 1 e))) (* 1/6 (/ e (* (pow v 4) (+ 1 e)))))))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* 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)))))))
(* -1/5040 (* e (pow v 7)))
(* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 7)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
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))))
(* -1/5040 (pow v 7))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 7))
(* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))
(* -1/5040 (pow v 6))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 6) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 6))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 6) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* 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))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/5040 (pow v 2))
(* -1/6 (pow v 2))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* -1/5040 (pow v 6))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 6))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* 1/120 (pow v 2))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(* -1/5040 (pow v 4))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* -1/5040 (pow v 4))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
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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(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64)))))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(*.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)))))))
(* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(*.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)))))))
(* -1/5040 (pow v 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/5040 binary64)))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/5040 binary64)))
(* -1/5040 (pow v 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/5040 binary64)))
(* (pow v 6) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 v v)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -1/5040 binary64)))
(* 1/120 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(* -1/5040 (pow v 4))
(*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* -1/5040 (pow v 4))
(*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 4) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))

eval128.0ms (1.5%)

Compiler

Compiled 29293 to 2985 computations (89.8% saved)

prune140.0ms (1.6%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New998191017
Fresh41216
Picked325
Done134
Total1006361042
Accuracy
100.0%
Counts
1042 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(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))
52.3%
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
52.4%
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
51.9%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
52.2%
(/.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)))
✓98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 e (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (cos.f64 v)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 v)) (/.f64 #s(literal 1/2 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))))
52.5%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓52.5%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
▶99.7%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
52.4%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
2.4%
(-.f64 v (/.f64 v e))
66.1%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
✓99.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
52.4%
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
52.5%
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
51.9%
(*.f64 (+.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)))))))) (*.f64 v e))
52.2%
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
51.9%
(*.f64 (*.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))))))))) e)
51.7%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
✓98.3%
(*.f64 (sin.f64 v) e)
52.2%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
51.7%
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
▶51.8%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
▶51.9%
(*.f64 v e)
▶52.4%
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
52.2%
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
99.4%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.7%
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
▶5.8%
(sin.f64 v)
✓4.5%
v
Compiler

Compiled 1095 to 678 computations (38.1% saved)

simplify82.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓cost-diff0
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
✓cost-diff256
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Rules
1406×fma-define
988×fma-lowering-fma.f32
988×fma-lowering-fma.f64
816×*-lowering-*.f32
816×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023118
163112
2197111
3603111
41460110
52238110
62328110
72379110
82400110
92405110
102406110
112406110
02406110
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
v
(+ (/ 1 e) (cos v))
(/ 1 e)
1
e
(cos v)
(* v e)
v
e
(* e (/ (/ 1 (+ 1 e)) (/ 1 v)))
e
(/ (/ 1 (+ 1 e)) (/ 1 v))
(/ 1 (+ 1 e))
1
(+ 1 e)
(/ 1 v)
v
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))
v
(* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
e
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
1
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(* v v)
(+ (* (* v v) 1/120) -1/6)
(* (* v v) 1/120)
1/120
-1/6
(sin v)
v
Outputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (/ 1 e) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(cos v)
(cos.f64 v)
(* v e)
(*.f64 v e)
v
e
(* e (/ (/ 1 (+ 1 e)) (/ 1 v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
e
(/ (/ 1 (+ 1 e)) (/ 1 v))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(/ 1 (+ 1 e))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
v
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
v
(* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
e
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* v v)
(*.f64 v v)
(+ (* (* v v) 1/120) -1/6)
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (* v v) 1/120)
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(sin v)
(sin.f64 v)
v

localize114.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓accuracy96.2%
(*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓accuracy99.7%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Results
79.0ms256×0valid
Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 13.0ms (25.9% of total)
ival-div: 11.0ms (21.9% of total)
...c/correct-round.rkt:119:19: 8.0ms (16% of total)
ival-cos: 6.0ms (12% of total)
ival-sin: 6.0ms (12% of total)
ival-add: 5.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
15 → 264
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (/ 1 e) (cos v)))>
#<alt (sin v)>
#<alt (+ (/ 1 e) (cos v))>
#<alt (/ 1 e)>
#<alt (* v e)>
#<alt (* e (/ (/ 1 (+ 1 e)) (/ 1 v)))>
#<alt (/ (/ 1 (+ 1 e)) (/ 1 v))>
#<alt (/ 1 (+ 1 e))>
#<alt (+ 1 e)>
#<alt (* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))>
#<alt (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))>
#<alt (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))>
#<alt (* (* v v) (+ (* (* v v) 1/120) -1/6))>
#<alt (cos v)>
#<alt (* (* v v) 1/120)>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt 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>
#<alt (+ 1 (* -1 e))>
#<alt (+ 1 (* e (- e 1)))>
#<alt (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))>
#<alt (/ 1 e)>
#<alt (/ (- 1 (/ 1 e)) e)>
#<alt (/ (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) e)>
#<alt (/ (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) e)>
#<alt (/ 1 e)>
#<alt (* -1 (/ (- (/ 1 e) 1) e))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e)) 1) 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)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))>
#<alt (+ e (* (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) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<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)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 4))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* 1/120 (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))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
(/ (/ 1 (+ 1 e)) (/ 1 v))
1.0ms
e
@0
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))
0.0ms
v
@-inf
(/ (/ 1 (+ 1 e)) (/ 1 v))
0.0ms
v
@inf
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))
0.0ms
e
@inf
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))

rewrite296.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3550×*-lowering-*.f32
3550×*-lowering-*.f64
2988×/-lowering-/.f32
2988×/-lowering-/.f64
2244×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02393
114786
2121886
0837886
Stop Event
1×iter limit
1×node limit
Counts
15 → 473
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(* v e)
(* e (/ (/ 1 (+ 1 e)) (/ 1 v)))
(/ (/ 1 (+ 1 e)) (/ 1 v))
(/ 1 (+ 1 e))
(+ 1 e)
(* v (* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))))
(* e (+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6))))
(+ 1 (* (* v v) (+ (* (* v v) 1/120) -1/6)))
(* (* v v) (+ (* (* v v) 1/120) -1/6))
(cos v)
(* (* v v) 1/120)
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) e) e)))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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) e)) (*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 0 binary64) (cos.f64 v))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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) (cos.f64 v)) (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(-.f64 (/.f64 #s(literal 0 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))))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v)))
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(/.f64 (neg.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.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)) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 v v))) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal 1/120 binary64))))))
(*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 v v) (+.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 v))
(*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v)
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
(*.f64 (*.f64 (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
(*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(*.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 v 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)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal 1/720 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 v v) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(/.f64 (*.f64 v #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.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)

simplify249.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4254×*-lowering-*.f32
4254×*-lowering-*.f64
2878×+-lowering-+.f64
2878×+-lowering-+.f32
1844×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02942415
19692149
228242081
082692081
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* 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))
v
(+ v (* -1 (* e v)))
(+ v (* e (- (* e v) v)))
(+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))
(/ v e)
(/ (+ v (* -1 (/ v e))) e)
(/ (- (+ v (/ v (pow e 2))) (/ v e)) e)
(/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)
(/ v e)
(* -1 (/ (+ (* -1 v) (/ v e)) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
(/ v (+ 1 e))
1
(+ 1 (* -1 e))
(+ 1 (* e (- e 1)))
(+ 1 (* e (- (* e (+ 1 (* -1 e))) 1)))
(/ 1 e)
(/ (- 1 (/ 1 e)) e)
(/ (- (+ 1 (/ 1 (pow e 2))) (/ 1 e)) e)
(/ (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3)))) e)
(/ 1 e)
(* -1 (/ (- (/ 1 e) 1) e))
(* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e)) 1) e))
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)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ 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 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 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 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 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 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 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 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))
(* 1/120 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
1
(+ 1 (* -1/6 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* -1/6 (pow v 2))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 4))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* 1/120 (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))
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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1
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1
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(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
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eval97.0ms (1.1%)

Compiler

Compiled 16997 to 1883 computations (88.9% saved)

prune116.0ms (1.3%)

Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New74114755
Fresh62026
Picked145
Done145
Total74942791
Accuracy
100.0%
Counts
791 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(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))
52.4%
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
51.9%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
52.2%
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 e (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (cos.f64 v)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 v)) (/.f64 #s(literal 1/2 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))))
52.5%
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
✓52.5%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
99.7%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.4%
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
✓99.7%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
98.7%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
52.4%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
51.8%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
51.8%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
2.4%
(-.f64 v (/.f64 v e))
66.2%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)))
✓99.9%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
52.4%
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
52.5%
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
51.9%
(*.f64 (+.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)))))))) (*.f64 v e))
52.2%
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
51.9%
(*.f64 (*.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))))))))) e)
51.7%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) e)
✓98.3%
(*.f64 (sin.f64 v) e)
45.2%
(*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (*.f64 e e)) (-.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))
19.2%
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (-.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))))
52.2%
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
51.7%
(*.f64 v (+.f64 e (*.f64 v (*.f64 v (*.f64 e #s(literal -1/6 binary64))))))
4.2%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
52.2%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
✓51.8%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓51.9%
(*.f64 v e)
2.0%
(*.f64 e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e) (/.f64 #s(literal 1 binary64) v)))
51.9%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
2.3%
(*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v e)))
✓5.8%
(sin.f64 v)
✓4.5%
v
Compiler

Compiled 1846 to 684 computations (62.9% saved)

regimes66.0ms (0.8%)

Counts
63 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v e)))
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (+.f64 e (*.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)))) e)
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.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))))))))) e)
(*.f64 (+.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)))))))) (*.f64 v e))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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 v (*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (*.f64 e e)) (-.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) 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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (-.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) (cos.f64 v)))
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 e (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal 2 binary64)))) (cos.f64 v)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 v #s(literal 2 binary64))) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 v)) (/.f64 #s(literal 1/2 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

25.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
17.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%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)

regimes35.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v e)))
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (+.f64 e (*.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)))) e)
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.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))))))))) e)
(*.f64 (+.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)))))))) (*.f64 v e))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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 v (*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (*.f64 e e)) (-.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) 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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (-.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
Calls

2 calls:

15.0ms
e
14.0ms
v
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.5%)

Counts
50 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v e)))
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (+.f64 e (*.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)))) e)
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.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))))))))) e)
(*.f64 (+.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)))))))) (*.f64 v e))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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 v (*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (*.f64 e e)) (-.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) 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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (-.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.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 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

14.0ms
e
14.0ms
v
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.4%)

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

14.0ms
v
14.0ms
e
Results
AccuracySegmentsBranch
98.8%1e
98.8%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.4%)

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

2 calls:

14.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
98.7%1e
98.7%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.4%)

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

2 calls:

13.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
98.3%1e
98.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts
42 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v))
(*.f64 e (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 v e)))
(*.f64 e (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (+.f64 e (*.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)))) e)
(*.f64 (/.f64 v (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 e (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 e v) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (*.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))))))))) e)
(*.f64 (+.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)))))))) (*.f64 v e))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (/.f64 v (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 v (*.f64 v #s(literal -1/5040 binary64)))))) #s(literal -1/6 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) e)
(/.f64 (*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 e (*.f64 v v))) (*.f64 e #s(literal 1/120 binary64)))))))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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 v (*.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(*.f64 v (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (*.f64 e e)) (-.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) 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 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))))
(*.f64 v (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)))) (*.f64 e (*.f64 e e))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e))) (-.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) e)) e)))))
(sin.f64 v)
Outputs
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

13.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
52.5%1e
52.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Outputs
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Calls

2 calls:

5.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
52.4%1e
52.4%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
v
(*.f64 e v)
(*.f64 v e)
(-.f64 v (/.f64 v e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
Outputs
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
Calls

2 calls:

4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
52.2%1e
52.2%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
51.9%1v
51.9%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
4.5%1v
4.5%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02576
14076
24476
34676
44776
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) 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 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
v

soundness1.8s (21%)

Rules
5218×*-lowering-*.f32
5218×*-lowering-*.f64
4640×+-lowering-+.f64
4640×+-lowering-+.f32
4418×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03744030
113003495
243883448
084493448
02942415
19692149
228242081
082692081
01951175
16301044
220181012
365891012
081641012
0929
13627
225027
3241927
0896627
0103810461
136529364
082539364
052471
1357372
24159372
08372372
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 236 to 133 computations (43.6% saved)

preprocess78.0ms (0.9%)

Remove

(negabs v)

Compiler

Compiled 312 to 158 computations (49.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...