Trigonometry A

Time bar (total: 7.7s)

analyze11.0ms (0.1%)

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

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (22.5% of total)
ival-mult: 1.0ms (22.5% of total)
ival-sin: 1.0ms (22.5% of total)
ival-<=: 1.0ms (22.5% of total)
ival-div: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (17.6%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 829.0ms
ival-sin: 258.0ms (31.1% of total)
ival-cos: 205.0ms (24.7% of total)
ival-mult: 141.0ms (17% of total)
ival-<=: 92.0ms (11.1% of total)
ival-div: 55.0ms (6.6% of total)
ival-add: 52.0ms (6.3% of total)
const: 12.0ms (1.4% of total)
ival-and: 11.0ms (1.3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess116.0ms (1.5%)

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)

explain113.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 v)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-(*.f64 e (cos.f64 v))
00-0-e
00-0-#s(literal 1 binary64)
Results
79.0ms512×0valid
Compiler

Compiled 83 to 29 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 19.0ms (39.8% of total)
ival-sin: 13.0ms (27.2% of total)
ival-mult: 8.0ms (16.8% of total)
ival-div: 3.0ms (6.3% of total)
ival-add: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

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 (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
32.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (29.6% of total)
ival-cos: 5.0ms (24.6% of total)
ival-mult: 4.0ms (19.7% of total)
ival-div: 3.0ms (14.8% of total)
ival-add: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

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

30 calls:

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

rewrite323.0ms (4.2%)

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
224927
3240627
0893627
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 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (*.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify245.0ms (3.2%)

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
16301113
220141086
365671086
081401086
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (*.f64 e (*.f64 (neg.f64 (*.f64 e (sin.f64 v))) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (+.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 #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 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 #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 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 #s(literal -1/720 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal 1 binary64))))) (*.f64 e (+.f64 (*.f64 #s(literal 1/24 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 e e) (+.f64 e #s(literal 1 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 #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 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 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (cos v) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 e (*.f64 v v)) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(*.f64 (+.f64 #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 e (*.f64 v v)) (+.f64 #s(literal -1/2 binary64) (*.f64 v (*.f64 v #s(literal 1/24 binary64))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (*.f64 e (*.f64 v v)) (+.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
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 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 (*.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)

eval50.0ms (0.7%)

Compiler

Compiled 10326 to 1049 computations (89.8% saved)

prune50.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4058413
Fresh000
Picked011
Done000
Total4059414
Accuracy
99.9%
Counts
414 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.5%
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶51.6%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
▶99.6%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
▶99.6%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
50.8%
(*.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))))))))
▶97.9%
(*.f64 e (sin.f64 v))
Compiler

Compiled 249 to 161 computations (35.3% saved)

simplify21.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓cost-diff64
(pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64))
✓cost-diff12928
(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))
✓cost-diff0
(*.f64 e (cos.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓cost-diff0
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff128
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Rules
206×*-lowering-*.f32
206×*-lowering-*.f64
112×/-lowering-/.f32
112×/-lowering-/.f64
94×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021152
140143
252143
378143
489143
5130143
6169143
7206143
8227143
9258143
10294143
11335143
12345143
13371143
14374143
15375143
0375143
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
v
(/ 1 (+ (cos v) (/ 1 e)))
1
(+ (cos v) (/ 1 e))
(cos v)
(/ 1 e)
e
(/ (* e v) (+ e 1))
(* e v)
e
v
(+ e 1)
1
(* e (sin v))
e
(sin v)
v
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
1
(* e (cos v))
(cos v)
v
(sin v)
1/2
2
Outputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin v)
(sin.f64 v)
v
(/ 1 (+ (cos v) (/ 1 e)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
1
#s(literal 1 binary64)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
e
(/ (* e v) (+ e 1))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* e v)
(*.f64 v e)
e
v
(+ e 1)
(+.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
e
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))
(+ 1 (* e (cos v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(cos v)
(cos.f64 v)
v
(sin v)
(sin.f64 v)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize129.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓accuracy99.5%
(pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy79.5%
(pow.f64 (/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v))
✓accuracy99.9%
(*.f64 e (cos.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Results
65.0ms200×0valid
29.0ms56×0invalid
Compiler

Compiled 166 to 22 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 16.0ms (30.1% of total)
ival-sin: 10.0ms (18.8% of total)
ival-pow: 9.0ms (16.9% of total)
ival-cos: 7.0ms (13.2% of total)
ival-mult: 7.0ms (13.2% of total)
ival-add: 4.0ms (7.5% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.4%)

Counts
15 → 324
Calls
Call 1
Inputs
#<alt (* (sin v) (/ 1 (+ (cos v) (/ 1 e))))>
#<alt (sin v)>
#<alt (/ 1 (+ (cos v) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (* e v) (+ e 1))>
#<alt (* e v)>
#<alt (+ e 1)>
#<alt (* e (sin v))>
#<alt (/ e (/ (+ 1 (* e (cos v))) (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)>
#<alt (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)>
#<alt (cos v)>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
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#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))>
#<alt (sqrt (/ (* e (sin v)) (+ 1 (* 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

81 calls:

TimeVariablePointExpression
3.0ms
e
@0
(/ (+ 1 (* e (cos v))) (sin v))
2.0ms
v
@0
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
2.0ms
v
@inf
(/ 1 (+ (cos v) (/ 1 e)))
1.0ms
v
@0
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
1.0ms
v
@inf
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)

rewrite292.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4632×*-lowering-*.f32
4632×*-lowering-*.f64
3638×/-lowering-/.f32
3638×/-lowering-/.f64
1368×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02193
112588
289888
0839488
Stop Event
1×iter limit
1×node limit
Counts
15 → 810
Calls
Call 1
Inputs
(* (sin v) (/ 1 (+ (cos v) (/ 1 e))))
(sin v)
(/ 1 (+ (cos v) (/ 1 e)))
(+ (cos v) (/ 1 e))
(/ (* e v) (+ e 1))
(* e v)
(+ e 1)
(* e (sin v))
(/ e (/ (+ 1 (* e (cos v))) (sin v)))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(* e (cos v))
(pow (pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2) 2)
(pow (/ e (/ (+ 1 (* e (cos v))) (sin v))) 1/2)
(cos v)
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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) e)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))))
(+.f64 (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))) (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))))
(-.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 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (sin.f64 v)))
(neg.f64 (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)) (+.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.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 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (*.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (*.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (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 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (sin.f64 v)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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 #s(literal 1/2 binary64) (+.f64 (*.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 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (*.f64 (sin.f64 v) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(sin.f64 v)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e 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) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))
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(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) e)))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) (sqrt.f64 e)) (sqrt.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) (sqrt.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))) (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) (pow.f64 e #s(literal 1/4 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 v) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64)) (sin.f64 v))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))))
(/.f64 (sqrt.f64 e) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))))
(/.f64 (sqrt.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) e)) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (sqrt.f64 e)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) e))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))))
(pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sin.f64 v) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 e) (sqrt.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) (sqrt.f64 e))
(*.f64 (sqrt.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) e)) (pow.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) e)) (sqrt.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 e) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) (pow.f64 e #s(literal 1/4 binary64))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 v) #s(literal 1/4 binary64)))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify283.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4190×*-lowering-*.f32
4190×*-lowering-*.f64
2342×+-lowering-+.f64
2342×+-lowering-+.f32
1666×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05384365
117974097
259064090
081214090
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 (+ 1 (/ 1 e)))
(+ (* 1/2 (/ (pow v 2) (pow (+ 1 (/ 1 e)) 2))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(+ (* (pow v 2) (+ (* (pow v 2) (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 e)) 3))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (+ 1 (/ 1 e)))) (* 1/48 (/ 1 (pow (+ 1 (/ 1 e)) 3))))))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (/ 1 (+ 1 (/ 1 e))))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
(/ 1 (+ (cos v) (/ 1 e)))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos 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))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* 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))
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
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(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
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(/ (+ 1 e) v)
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(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
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(/ (+ 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))
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(* e (+ (cos v) (/ 1 e)))
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(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ 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))
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(/ (sin v) (cos v))
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(* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v)))
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(+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))
(+ (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 4))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)))
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(* 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))))
(sqrt (* e (sin v)))
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(+ (sqrt (* e (sin v))) (* (pow e 2) (+ (* -1/2 (* (sqrt (/ (sin v) e)) (cos v))) (* e (+ (* -1/2 (* (sqrt (/ e (sin v))) (+ (* 1/4 (/ (* (pow (cos v) 2) (sin v)) e)) (* (pow (cos v) 3) (sin v))))) (* 1/2 (* (sqrt (/ (sin v) e)) (pow (cos v) 2))))))))
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(+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3)))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) e) (sqrt (/ (cos v) (sin v)))))) e)))
(+ (sqrt (/ (sin v) (cos v))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ (cos v) (sin v))) (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))))) (* 1/2 (* (/ (+ (* -1 (/ (sin v) (pow (cos v) 4))) (* -1/2 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* 1/4 (/ (sin v) (pow (cos v) 3)))) (cos v)))) e) (sqrt (/ (cos v) (sin v)))))) e)) (* 1/2 (sqrt (/ (sin v) (pow (cos v) 3))))) e)))
(sqrt (/ (* e v) (+ 1 e)))
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(+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (* (pow v 3) (+ 1 e)) 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))))))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))))
(+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ (pow (+ 1 e) 3) (* (pow e 3) v))) (pow (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) 2))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* 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))))))))))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* 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
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (-.f64 (*.f64 (*.f64 v v) (-.f64 (/.f64 (/.f64 #s(literal 1/720 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 (/.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 #s(literal -1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(/ (sin v) (+ (cos v) (/ 1 e)))
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(* e (sin v))
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(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
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(+.f64 (sqrt.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 v (*.f64 (*.f64 v v) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal 1 binary64) e))) e))) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))))))))
(+ (sqrt (/ (* e v) (+ 1 e))) (* (pow v 3) (+ (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ (pow (+ 1 e) 3) (* (pow e 3) v))) (pow (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2)))) 2))) (* 1/2 (* (sqrt (/ (+ 1 e) (* e v))) (- (* 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))))))))))))
(+.f64 (sqrt.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 (*.f64 e e) v))))))) (*.f64 (+.f64 (-.f64 (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e))))))))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sqrt (/ (* e (sin v)) (+ 1 (* e (cos v)))))
(sqrt.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.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 (*.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)

eval193.0ms (2.5%)

Compiler

Compiled 35557 to 3275 computations (90.8% saved)

prune183.0ms (2.4%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1606231629
Fresh213
Picked415
Done011
Total1612261638
Accuracy
100.0%
Counts
1638 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.7%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
73.9%
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
99.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
▶99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
51.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
52.1%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
52.3%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
▶52.1%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
51.4%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
▶51.0%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
2.4%
(-.f64 v (/.f64 v e))
77.8%
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)))
70.8%
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.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)))
74.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
49.4%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
50.1%
(*.f64 v e)
50.6%
(*.f64 e (-.f64 v (*.f64 v e)))
49.4%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
✓97.9%
(*.f64 e (sin.f64 v))
▶4.5%
v
Compiler

Compiled 911 to 525 computations (42.4% saved)

simplify209.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(sqrt.f64 (*.f64 e (sin.f64 v)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
✓cost-diff2560
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))
✓cost-diff2560
(+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))
✓cost-diff2560
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v)
✓cost-diff2560
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(-.f64 #s(literal -1 binary64) e)
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Rules
2772×+-lowering-+.f64
2772×+-lowering-+.f32
2524×--lowering--.f32
2524×--lowering--.f64
2390×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511004
1172897
2686755
33024612
47464589
08178589
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
v
(+ (/ 1 e) (cos v))
(/ 1 e)
1
e
(cos v)
v
(/ -1 (/ (- -1 e) (* v e)))
-1
(/ (- -1 e) (* v e))
(- -1 e)
e
(* v e)
v
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))
e
(/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)
(+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))))
1
(+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))
(* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))
(* v v)
v
(+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))
(* e -1/2)
-1/2
(+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))
(* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(* e -1/720)
-1/720
(+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
-1/6
(- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(- (* e 1/24) (* 1/120 (+ 1 e)))
(* e 1/24)
1/24
(* 1/120 (+ 1 e))
1/120
(+ 1 e)
(* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(* 1/6 (+ 1 e))
1/6
(+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(* -1/5040 (+ 1 e))
-1/5040
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(pow (sqrt (* e (sin v))) 2)
(sqrt (* e (sin v)))
(* e (sin v))
e
(sin v)
v
2
Outputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
v
(+ (/ 1 e) (cos v))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e
(cos v)
(cos.f64 v)
v
(/ -1 (/ (- -1 e) (* v e)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(/ (- -1 e) (* v e))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) v)
(- -1 e)
(-.f64 #s(literal -1 binary64) e)
e
(* v e)
(*.f64 v e)
v
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))
(/.f64 (*.f64 v e) (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))))))))))
e
(/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))))))))) v)
(+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))))
(+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))))))))
1
#s(literal 1 binary64)
(+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))
(+.f64 e (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))))))))
(* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))))))))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))))))
(* e -1/2)
(*.f64 e #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))))))
(* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))))))
(+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(+.f64 (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))) (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))))
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))))
(- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))
(-.f64 (+.f64 (*.f64 e #s(literal 1/360 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))))
(* e -1/720)
(*.f64 e #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64))) #s(literal -7/360 binary64))))
(* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))
(*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64)))))
-1/6
#s(literal -1/6 binary64)
(- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+.f64 (*.f64 e #s(literal 1/30 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 e #s(literal 1/18 binary64))))
(- (* e 1/24) (* 1/120 (+ 1 e)))
(+.f64 #s(literal -1/120 binary64) (*.f64 e #s(literal 1/30 binary64)))
(* e 1/24)
(*.f64 e #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* 1/120 (+ 1 e))
(*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))
1/120
#s(literal 1/120 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+.f64 #s(literal -1/36 binary64) (*.f64 e #s(literal 1/18 binary64)))
(+ (* e -1/2) (* 1/6 (+ 1 e)))
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal -1/3 binary64)))
(* 1/6 (+ 1 e))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) e))
1/6
#s(literal 1/6 binary64)
(+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))
(+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/840 binary64)))
(* -1/5040 (+ 1 e))
(+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal -1/5040 binary64)))
-1/5040
#s(literal -1/5040 binary64)
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(+.f64 #s(literal 1/720 binary64) (*.f64 e #s(literal -1/360 binary64)))
(pow (sqrt (* e (sin v))) 2)
(*.f64 (sin.f64 v) e)
(sqrt (* e (sin v)))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
e
(sin v)
(sin.f64 v)
v
2
#s(literal 2 binary64)

localize297.0ms (3.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(*.f64 e (sin.f64 v))
✓accuracy99.6%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
✓accuracy79.5%
(sqrt.f64 (*.f64 e (sin.f64 v)))
✓accuracy99.7%
(*.f64 e #s(literal -1/720 binary64))
✓accuracy99.6%
(*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))))
✓accuracy99.5%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy98.8%
(*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) e)
✓accuracy100.0%
(*.f64 v e)
✓accuracy99.8%
(/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))
✓accuracy99.2%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Results
134.0ms198×0valid
31.0ms56×0invalid
6.0ms2×5exit
Compiler

Compiled 1128 to 52 computations (95.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 27.0ms (23.5% of total)
...c/correct-round.rkt:119:19: 24.0ms (20.9% of total)
ival-div: 17.0ms (14.8% of total)
ival-add: 13.0ms (11.3% of total)
ival-sin: 13.0ms (11.3% of total)
ival-cos: 10.0ms (8.7% of total)
ival-sub: 5.0ms (4.3% of total)
ival-pow: 3.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 1.0ms (0.9% of total)

series60.0ms (0.8%)

Counts
20 → 396
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (/ 1 e) (cos v)))>
#<alt (sin v)>
#<alt (+ (/ 1 e) (cos v))>
#<alt (/ 1 e)>
#<alt (/ -1 (/ (- -1 e) (* v e)))>
#<alt (/ (- -1 e) (* v e))>
#<alt (- -1 e)>
#<alt (* v e)>
#<alt (/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))>
#<alt (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)>
#<alt (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))))>
#<alt (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))>
#<alt (pow (sqrt (* e (sin v))) 2)>
#<alt (sqrt (* e (sin v)))>
#<alt (* e (sin v))>
#<alt (cos v)>
#<alt (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))>
#<alt (* e 1/24)>
#<alt (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))>
#<alt (* e -1/720)>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) 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 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt -1>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (/ (* e v) (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 3))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 4))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3))))) (/ (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))))))>
#<alt (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)))) (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))))>
#<alt (- (+ (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (* (pow e 3) (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 4)))) (/ v (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))) (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))) 2)))))>
#<alt (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1)))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2)) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 2)) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) 3)) (* e (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 4))))) e)) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))) (pow (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (* (+ (* -1/2 e) (* 1/6 (+ 1 e))) (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (pow (+ 1 e) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (pow (+ 1 e) 2))) (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (+ 1 e))) (/ (* e (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))))))) (pow (+ 1 e) 2)))))) (+ (* -1 (/ (* e (pow (+ (* -1/2 e) (* 1/6 (+ 1 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* (pow v 5) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))))))))>
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#<alt (* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (+ (/ 1 (pow v 6)) (/ e (pow v 6))))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))>
#<alt (+ (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))>
#<alt (+ (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))>
#<alt (+ (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e))))>
#<alt (* e (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)) (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e))))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2)))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e)) (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2))))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e)) (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2))))))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e)) (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2))))))) 1)))>
#<alt e>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e)))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (+ (* 1/6 (+ 1 e)) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))))))>
#<alt (* (pow v 6) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (/ e (pow v 6)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (/ e (pow v 6)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* -1 (* e (* (sin v) (pow (sqrt -1) 2))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* e (sin v))) (pow (sqrt -1) 2)))>
#<alt (sqrt (* e v))>
#<alt (+ (sqrt (* e v)) (* -1/12 (sqrt (* e (pow v 5)))))>
#<alt (+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* 1/240 (sqrt (* e (pow v 3)))))))>
#<alt (+ (sqrt (* e v)) (* (pow v 3) (+ (* -1/12 (sqrt (/ e v))) (* (pow v 2) (+ (* -1/288 (sqrt (/ e v))) (* 1/240 (sqrt (/ e v))))))))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (sqrt (* e (sin v)))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt 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 1/720>
#<alt (+ 1/720 (* -1/360 e))>
#<alt (+ 1/720 (* -1/360 e))>
#<alt (+ 1/720 (* -1/360 e))>
#<alt (* -1/360 e)>
#<alt (* e (- (* 1/720 (/ 1 e)) 1/360))>
#<alt (* e (- (* 1/720 (/ 1 e)) 1/360))>
#<alt (* e (- (* 1/720 (/ 1 e)) 1/360))>
#<alt (* -1/360 e)>
#<alt (* -1 (* e (- 1/360 (* 1/720 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/360 (* 1/720 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/360 (* 1/720 (/ 1 e)))))>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))>
#<alt (* 31/15120 (pow v 2))>
#<alt (+ (* -2/945 (* e (pow v 2))) (* 31/15120 (pow v 2)))>
#<alt (+ (* -2/945 (* e (pow v 2))) (* 31/15120 (pow v 2)))>
#<alt (+ (* -2/945 (* e (pow v 2))) (* 31/15120 (pow v 2)))>
#<alt (* -2/945 (* e (pow v 2)))>
#<alt (* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))>
#<alt (* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))>
#<alt (* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))>
#<alt (* -2/945 (* e (pow v 2)))>
#<alt (* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
#<alt (* -1/720 e)>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
e
@0
(/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)
6.0ms
e
@inf
(/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)
4.0ms
v
@inf
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))
2.0ms
e
@inf
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))
2.0ms
e
@-inf
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))

rewrite308.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
2320×*-lowering-*.f32
2320×*-lowering-*.f64
1574×fma-lowering-fma.f32
1574×fma-lowering-fma.f64
1524×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051449
1390402
24233402
08262402
Stop Event
1×iter limit
1×node limit
Counts
20 → 265
Calls
Call 1
Inputs
(/ (sin v) (+ (/ 1 e) (cos v)))
(sin v)
(+ (/ 1 e) (cos v))
(/ 1 e)
(/ -1 (/ (- -1 e) (* v e)))
(/ (- -1 e) (* v e))
(- -1 e)
(* v e)
(/ e (/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v))
(/ (+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))) v)
(+ 1 (+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e)))))))
(+ e (* (* v v) (+ (* e -1/2) (+ (* (* v v) (+ (* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e)))))))) (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e))))))) (* 1/6 (+ 1 e))))))
(pow (sqrt (* e (sin v))) 2)
(sqrt (* e (sin v)))
(* e (sin v))
(cos v)
(* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))
(* e 1/24)
(* (* v v) (- (* e -1/720) (+ (* -1/6 (- (- (* e 1/24) (* 1/120 (+ 1 e))) (* -1/6 (+ (* e -1/2) (* 1/6 (+ 1 e)))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* e -1/2) (* 1/6 (+ 1 e))))))))
(* e -1/720)
Outputs
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin.f64 v)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(pow.f64 e #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(neg.f64 (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (-.f64 #s(literal -1 binary64) e))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(*.f64 #s(literal -1 binary64) (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 v e))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) v) e)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) e) v)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e))) (-.f64 #s(literal 0 binary64) (*.f64 v e)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (neg.f64 (/.f64 e (*.f64 v e))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)) (neg.f64 (/.f64 e (*.f64 v e))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal -1 binary64) e) v)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) (*.f64 v e)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (*.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))) (*.f64 v e)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal -1 binary64)) (*.f64 v e)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) #s(literal 3 binary64)) (pow.f64 (/.f64 e (*.f64 v e)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (+.f64 (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (*.f64 v e))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (+.f64 e #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)
(pow.f64 (*.f64 e (/.f64 v (-.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(*.f64 (-.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v e)) (-.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) e)
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) e))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))) (/.f64 (*.f64 e (*.f64 e e)) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))) (/.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64))))
(neg.f64 (+.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 e e))))
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(*.f64 v e)
(*.f64 e v)
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(/.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 e e) #s(literal 1/518400 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64))))))))) (+.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/373248000 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64))))))))) (*.f64 v v)) (+.f64 (*.f64 (*.f64 e e) #s(literal 1/518400 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (+.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64)))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) #s(literal 1/518400 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))))) (*.f64 v v)) (+.f64 (+.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64)))))))
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(*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64)))))))
(*.f64 (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64)))))) (*.f64 v v))
(*.f64 (*.f64 v (-.f64 (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 (*.f64 e #s(literal -1/240 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 1/720 binary64)))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal 1/120 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1/36 binary64)) (*.f64 e #s(literal 1/12 binary64))))))) v)
(*.f64 e #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) e)

simplify386.0ms (5%)

Algorithm
1×egg-herbie
Rules
5782×*-lowering-*.f32
5782×*-lowering-*.f64
3958×+-lowering-+.f64
3958×+-lowering-+.f32
1310×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06449331
122328559
081848559
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) 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 (/ e v)) (/ 1 v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
-1
(- (* -1 e) 1)
(- (* -1 e) 1)
(- (* -1 e) 1)
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
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(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (+ (/ 1 (pow v 6)) (/ e (pow v 6))))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (+ (/ 1 (pow v 6)) (/ e (pow v 6))))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))
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(+ (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))
(+ (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3)))) (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -2/945 (pow v 2)) 1/45)) 1/3))))
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(* -1 (* e (- (+ (* -1 (/ (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2)))))) e)) (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/45 (* 2/945 (pow v 2))))))) 1)))
e
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/6 (+ 1 e)))))
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(* (pow v 6) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (/ e (pow v 6)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 6) (- (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (* 1/6 (/ (+ 1 e) (pow v 4)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
(* (pow v 6) (- (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (+ (* 1/24 (/ e (pow v 2))) (+ (* 1/6 (/ (+ 1 e) (pow v 4))) (/ e (pow v 6)))))) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/6 (/ (+ (* -1/2 e) (* 1/6 (+ 1 e))) (pow v 2))) (+ (* -1/5040 (+ 1 e)) (+ (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (/ (+ 1 e) (pow v 2)))))))))
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1
(+ 1 (* -1/2 (pow v 2)))
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(cos v)
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(cos v)
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1/720
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(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (+ (* -1/2 e) (* 1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (+ (* -1/2 e) (* 1/6 (+ 1 e))))))))
(* 31/15120 (pow v 2))
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(+ (* -2/945 (* e (pow v 2))) (* 31/15120 (pow v 2)))
(* -2/945 (* e (pow v 2)))
(* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))
(* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))
(* e (+ (* -2/945 (pow v 2)) (* 31/15120 (/ (pow v 2) e))))
(* -2/945 (* e (pow v 2)))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
(* -1/720 e)
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (sin.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 e (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/2 binary64))))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) #s(literal -1/2 binary64))))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+ (cos v) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(* e v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(*.f64 e (-.f64 v (*.f64 v e)))
(* e (+ v (* e (- (* e v) v))))
(*.f64 e (+.f64 v (*.f64 e (*.f64 v (+.f64 e #s(literal -1 binary64))))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 e (+.f64 v (*.f64 e (-.f64 (*.f64 e (-.f64 v (*.f64 v e))) v))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(+.f64 (/.f64 v (*.f64 e e)) (-.f64 v (/.f64 v e)))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 (-.f64 v (/.f64 v (*.f64 e (*.f64 e e)))) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e))
(/ -1 (* e v))
(/.f64 #s(literal -1 binary64) (*.f64 v e))
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 e v)) (/.f64 #s(literal -1 binary64) v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 e v)) (/.f64 #s(literal -1 binary64) v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 e v)) (/.f64 #s(literal -1 binary64) v)) e)
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(+.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(* -1 (/ (+ 1 e) (* e v)))
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(* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))
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(* -2/945 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -2/945 binary64)))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/945 binary64)) (/.f64 (*.f64 #s(literal -31/15120 binary64) (*.f64 v v)) e)))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/945 binary64)) (/.f64 (*.f64 #s(literal -31/15120 binary64) (*.f64 v v)) e)))
(* -1 (* e (+ (* -31/15120 (/ (pow v 2) e)) (* 2/945 (pow v 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (+.f64 (*.f64 (*.f64 v v) #s(literal 2/945 binary64)) (/.f64 (*.f64 #s(literal -31/15120 binary64) (*.f64 v v)) e)))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))
(* -1/720 e)
(*.f64 e #s(literal -1/720 binary64))

eval114.0ms (1.5%)

Compiler

Compiled 38011 to 1936 computations (94.9% saved)

prune73.0ms (0.9%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New67711688
Fresh41519
Picked235
Done022
Total68331714
Accuracy
100.0%
Counts
714 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.7%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
73.9%
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
▶99.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
38.0%
(/.f64 (sin.f64 v) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
▶97.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
51.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
5.7%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
52.3%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
51.4%
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
50.9%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
11.5%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
8.8%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
49.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
▶50.9%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
2.4%
(-.f64 v (/.f64 v e))
70.8%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
74.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
▶51.5%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
49.4%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
49.4%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
▶50.1%
(*.f64 v e)
50.6%
(*.f64 e (-.f64 v (*.f64 v e)))
49.4%
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
✓97.9%
(*.f64 e (sin.f64 v))
✓4.5%
v
Compiler

Compiled 862 to 530 computations (38.5% saved)

simplify115.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff128
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(-.f64 #s(literal -1 binary64) e)
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
✓cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff256
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(-.f64 #s(literal -1 binary64) e)
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
✓cost-diff128
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v))
✓cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
✓cost-diff0
(*.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)))
Rules
1528×div-sub
1480×*-lowering-*.f32
1480×*-lowering-*.f64
1142×times-frac
1066×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01794
14391
28290
319490
448385
5109583
6320883
7610283
8751283
0801283
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
e
(sin v)
v
(+ e 1)
1
(* v e)
v
e
(* (/ -1 (/ (- -1 e) v)) e)
(/ -1 (/ (- -1 e) v))
-1
(/ (- -1 e) v)
(- -1 e)
e
v
(/ -1 (* (/ (- -1 e) v) (/ 1 e)))
-1
(* (/ (- -1 e) v) (/ 1 e))
(/ (- -1 e) v)
(- -1 e)
e
v
(/ 1 e)
1
(/ (sin v) (/ 1 e))
(sin v)
v
(/ 1 e)
1
e
Outputs
(/ (* e (sin v)) (+ e 1))
(/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* 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)
(* v e)
(*.f64 e v)
v
e
(* (/ -1 (/ (- -1 e) v)) e)
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ -1 (/ (- -1 e) v))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(/ (- -1 e) v)
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
(- -1 e)
(-.f64 #s(literal -1 binary64) e)
e
v
(/ -1 (* (/ (- -1 e) v) (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
-1
#s(literal -1 binary64)
(* (/ (- -1 e) v) (/ 1 e))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)) v)
(/ (- -1 e) v)
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
(- -1 e)
(-.f64 #s(literal -1 binary64) e)
e
v
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
(/ (sin v) (/ 1 e))
(*.f64 e (sin.f64 v))
(sin v)
(sin.f64 v)
v
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
1
#s(literal 1 binary64)
e

localize106.0ms (1.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) e)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
✓accuracy99.5%
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.2%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) e)
✓accuracy100.0%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
✓accuracy99.7%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Results
80.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 10.0ms (34.3% of total)
ival-mult: 7.0ms (24% of total)
ival-sin: 7.0ms (24% of total)
ival-add: 3.0ms (10.3% of total)
ival-sub: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
13 → 264
Calls
Call 1
Inputs
#<alt (/ (* e (sin v)) (+ e 1))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (+ e 1)>
#<alt (* v e)>
#<alt (* (/ -1 (/ (- -1 e) v)) e)>
#<alt (/ -1 (/ (- -1 e) v))>
#<alt (/ (- -1 e) v)>
#<alt (- -1 e)>
#<alt (/ -1 (* (/ (- -1 e) v) (/ 1 e)))>
#<alt (* (/ (- -1 e) v) (/ 1 e))>
#<alt (/ (sin v) (/ 1 e))>
#<alt (/ 1 e)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<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)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<alt (/ (* 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 (/ (+ (* -1 v) (/ v e)) e))) e))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))) e))) e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ v (+ 1 e))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ e v)) (/ 1 v))>
#<alt (- (* -1 (/ e v)) (/ 1 v))>
#<alt (- (* -1 (/ e v)) (/ 1 v))>
#<alt (* -1 (/ e v))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (/ e v))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt (* -1 (/ (+ 1 e) v))>
#<alt -1>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<alt (/ (* 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 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ (- (* -1 (/ e v)) (/ 1 v)) e)>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ -1 v)>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* -1 (/ (+ 1 e) (* e v)))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 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)>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
v
@-inf
(/ -1 (/ (- -1 e) v))
0.0ms
v
@0
(/ (- -1 e) v)
0.0ms
v
@inf
(/ (* e (sin v)) (+ e 1))
0.0ms
v
@0
(/ -1 (/ (- -1 e) v))
0.0ms
v
@-inf
(/ (* e (sin v)) (+ e 1))

rewrite245.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
3290×*-lowering-*.f32
3290×*-lowering-*.f64
3184×/-lowering-/.f32
3184×/-lowering-/.f64
992×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01766
110863
279760
3715060
0808660
Stop Event
1×iter limit
1×node limit
Counts
13 → 848
Calls
Call 1
Inputs
(/ (* e (sin v)) (+ e 1))
(* e (sin v))
(sin v)
(+ e 1)
(* v e)
(* (/ -1 (/ (- -1 e) v)) e)
(/ -1 (/ (- -1 e) v))
(/ (- -1 e) v)
(- -1 e)
(/ -1 (* (/ (- -1 e) v) (/ 1 e)))
(* (/ (- -1 e) v) (/ 1 e))
(/ (sin v) (/ 1 e))
(/ 1 e)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (*.f64 e e)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (*.f64 e e)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) e) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) e))
(+.f64 (*.f64 (*.f64 e e) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (*.f64 e e) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(+.f64 (*.f64 e (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e)))) (*.f64 e (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.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 (/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal -1 binary64) e))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal -1 binary64))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (+.f64 e #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 e e)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (+.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e)))))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 e e)) e))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) e))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 e #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))
(*.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 e (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (*.f64 (sin.f64 v) (*.f64 e (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) e))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 e (+.f64 e #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) (+.f64 #s(literal -1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) e))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) e)
(*.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (+.f64 e #s(literal -1 binary64))))))
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(*.f64 (/.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (/.f64 (pow.f64 e #s(literal -1/2 binary64)) (+.f64 e #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) v))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 #s(literal -1 binary64) e))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) e))
(*.f64 (-.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (-.f64 #s(literal 0 binary64) e))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 e)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e))
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(pow.f64 e #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 e)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))

simplify263.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
4128×*-lowering-*.f32
4128×*-lowering-*.f64
2138×--lowering--.f32
2138×--lowering--.f64
1592×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721723
16061665
217541477
368111473
088051473
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (sin v))
(* 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)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))
(/ (* 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 (/ (+ (* -1 v) (/ v e)) e))) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))) 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 v)
(- (* -1 (/ e v)) (/ 1 v))
(- (* -1 (/ e v)) (/ 1 v))
(- (* -1 (/ e v)) (/ 1 v))
(* -1 (/ e v))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (/ e v))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
(* -1 (/ (+ 1 e) v))
-1
(- (* -1 e) 1)
(- (* -1 e) 1)
(- (* -1 e) 1)
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
(+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))
(/ (* 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 (/ e v)) (/ 1 v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/ (- (* -1 (/ e v)) (/ 1 v)) e)
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* -1 (/ (+ 1 e) (* e v)))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(*.f64 e (+.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal -1 binary64)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(*.f64 e (+.f64 (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (/.f64 (sin.f64 v) e)))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(-.f64 (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64)) (/.f64 (sin.f64 v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(-.f64 (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(*.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(*.f64 v (+.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (*.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))))
(* 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))))
(*.f64 v (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (+.f64 e (*.f64 (*.f64 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 v (*.f64 v (*.f64 e (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))))))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
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v
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(/ 1 e)
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(/ 1 e)
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eval179.0ms (2.3%)

Compiler

Compiled 23725 to 2852 computations (88% saved)

prune181.0ms (2.3%)

Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New1407201427
Fresh91221
Picked235
Done145
Total1419391458
Accuracy
100.0%
Counts
1458 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.7%
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
97.4%
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
73.9%
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
✓99.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓97.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓99.6%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
50.0%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
51.5%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
5.7%
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64))))))
52.3%
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
97.6%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
50.0%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
97.1%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
8.8%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
45.0%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
43.8%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
38.2%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
49.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v e)))
44.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
44.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
2.4%
(-.f64 v (/.f64 v e))
44.1%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
70.8%
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
74.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
44.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
50.1%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) e)
44.2%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
50.6%
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
49.4%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
49.4%
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
49.4%
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
✓50.1%
(*.f64 v e)
✓97.9%
(*.f64 e (sin.f64 v))
5.8%
(sin.f64 v)
✓4.5%
v
Compiler

Compiled 1425 to 581 computations (59.2% saved)

regimes58.0ms (0.8%)

Counts
63 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.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 (sin.f64 v) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e)) #s(literal 1/4 binary64)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

18.0ms
e
18.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes36.0ms (0.5%)

Counts
51 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
Outputs
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
Calls

2 calls:

16.0ms
v
14.0ms
e
Results
AccuracySegmentsBranch
99.6%1e
99.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts
47 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Outputs
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Calls

2 calls:

14.0ms
v
13.0ms
e
Results
AccuracySegmentsBranch
99.6%1v
99.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes37.0ms (0.5%)

Counts
46 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Calls

2 calls:

20.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
99.3%1e
99.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.4%)

Counts
45 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e))
Outputs
(*.f64 e (sin.f64 v))
Calls

2 calls:

13.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
97.9%1e
97.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts
40 → 1
Calls
Call 1
Inputs
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 v e)))
(*.f64 (*.f64 v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) 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 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) v)) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e))
(*.f64 e (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (*.f64 e (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(*.f64 v (+.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)) e)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 e (*.f64 v v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e))))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 v (-.f64 #s(literal -1 binary64) e)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 v (-.f64 #s(literal -1 binary64) e))) (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 v (-.f64 #s(literal -1 binary64) e)))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) v) e) (*.f64 e (/.f64 e v))) (*.f64 e e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 v e)) (*.f64 (*.f64 v e) e)) (*.f64 (*.f64 v e) (*.f64 v e))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 #s(literal -1 binary64) (*.f64 v e))) (*.f64 (/.f64 e (*.f64 v e)) (/.f64 e (*.f64 v e)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v e)) (/.f64 e (*.f64 v e)))))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) v))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 e (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))))))) (-.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))))) v))
(sin.f64 v)
Outputs
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
Calls

2 calls:

11.0ms
v
11.0ms
e
Results
AccuracySegmentsBranch
52.3%1e
52.3%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.3%)

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

2 calls:

13.0ms
e
9.0ms
v
Results
AccuracySegmentsBranch
51.6%1v
51.6%1e
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
51.5%1e
51.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

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

2 calls:

4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
51.4%1e
51.4%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
50.6%1e
50.6%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
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 v e)
Calls

2 calls:

2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
50.1%1e
50.1%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

7.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
4.5%1e
4.5%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03796
15996
27096
37696
48096
58196
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) v))
(/.f64 e (/.f64 (+.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))))) v))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 (+.f64 #s(literal 1 binary64) e) v))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
(*.f64 e v)
v

soundness1.3s (17.1%)

Rules
4632×*-lowering-*.f32
4632×*-lowering-*.f64
4190×*-lowering-*.f32
4190×*-lowering-*.f64
3940×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05384365
117974097
259064090
081214090
02193
112588
289888
0839488
01951175
16301113
220141086
365671086
081401086
0929
13627
224927
3240627
0893627
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 280 to 155 computations (44.6% saved)

preprocess89.0ms (1.2%)

Remove

(negabs v)

Compiler

Compiled 404 to 212 computations (47.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...