Trigonometry A

Time bar (total: 10.1s)

analyze7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
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 19 to 14 computations (26.3% saved)

sample1.2s (11.5%)

Memory
37.1MiB live, 1 685.7MiB allocated
Samples
899.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 666.0ms
ival-sin: 207.0ms (31.1% of total)
ival-cos: 167.0ms (25.1% of total)
ival-mult: 111.0ms (16.7% of total)
ival-<=: 61.0ms (9.2% of total)
ival-div: 54.0ms (8.1% of total)
ival-add: 41.0ms (6.2% of total)
ival-and: 12.0ms (1.8% of total)
exact: 10.0ms (1.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess73.0ms (0.7%)

Memory
-21.7MiB live, 23.9MiB allocated
Algorithm
2×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02972
17268
215966
340466
4100366
5155066
6172566
7187466
8203066
9244266
10253966
11260066
12265466
13265966
0911
11611
21911
32011
02010
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)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
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) (+ 1 (* e (cos v)))))
(/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v))))
(/ (* e (sin v)) (+ (* e (cos v)) -1))
(/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v)))))
(* e (/ (sin v) (- -1 (* e (cos v)))))
(neg (/ (* (neg e) (sin v)) (+ 1 (* (neg e) (cos v)))))
(/ (* e (sin v)) (- 1 (* e (cos v))))
(neg (/ (* e (sin (neg v))) (+ 1 (* e (cos (neg v))))))
(* e (/ (sin v) (+ 1 (* e (cos v)))))
(/ (* v (sin e)) (+ 1 (* v (cos e))))
Symmetry

(negabs v)

explain123.0ms (1.2%)

Memory
-8.4MiB live, 193.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.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 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
59.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 11.0ms (25% of total)
ival-sin: 11.0ms (25% of total)
ival-add: 9.0ms (20.5% of total)
ival-mult: 9.0ms (20.5% of total)
ival-div: 3.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff128
(+.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: 0 (0.0ms)

IterNodesCost
0932
11632
21932
32032
02030
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)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
e
(sin v)
(sin.f64 v)
v
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (cos v))
(*.f64 e (cos.f64 v))
(cos v)
(cos.f64 v)

localize36.0ms (0.4%)

Memory
13.0MiB live, 51.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
26.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (32.5% of total)
ival-sin: 6.0ms (32.5% of total)
ival-mult: 3.0ms (16.2% of total)
ival-div: 2.0ms (10.8% of total)
ival-add: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ 1 (* e (cos v)))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (cos v)>
Outputs
#<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 (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 (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

TimeVariablePointExpression
2.0ms
v
@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
(+ 1 (* e (cos v)))

rewrite410.0ms (4.1%)

Memory
-22.8MiB live, 646.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×accelerator-lowering-fma.f32
5 798×accelerator-lowering-fma.f64
4 350×/-lowering-/.f32
4 350×/-lowering-/.f64
3 988×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
13629
223529
3209329
0835227
Stop Event
1×iter limit
1×node limit
Counts
6 → 347
Calls
Call 1
Inputs
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(sin v)
(* e (cos v))
(cos v)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 e (cos.f64 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 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)))
(*.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))))) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.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 (-.f64 #s(literal 0 binary64) (cos.f64 v))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))))
(*.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 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) e)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (sin.f64 v))
(sin.f64 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 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify459.0ms (4.6%)

Memory
20.0MiB live, 810.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
5 646×*-lowering-*.f32
5 646×*-lowering-*.f64
3 948×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
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 (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)
(* 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
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.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 (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 e e)) (*.f64 (cos.f64 v) (fma.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)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 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)))))
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 0 binary64))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -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 (-.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) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) 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))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) 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))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #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 e (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (*.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 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))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 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)
(* 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 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(*.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e)
(* 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)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 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)

eval56.0ms (0.6%)

Memory
3.9MiB live, 119.9MiB allocated
Compiler

Compiled 13 915 to 1 257 computations (91% saved)

prune94.0ms (0.9%)

Memory
-4.3MiB live, 116.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New45710467
Fresh000
Picked101
Done000
Total45810468
Accuracy
99.9%
Counts
468 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶50.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶98.6%
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
99.7%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
99.8%
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
49.8%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶97.5%
(*.f64 e (sin.f64 v))
Compiler

Compiled 292 to 182 computations (37.7% saved)

simplify306.0ms (3%)

Memory
22.4MiB live, 257.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (cos.f64 v))
✓cost-diff0
(fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 e (sin.f64 v))
✓cost-diff0
(sin.f64 v)
✓cost-diff-64
(*.f64 e v)
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Rules
3 544×accelerator-lowering-fma.f32
3 544×accelerator-lowering-fma.f64
2 816×/-lowering-/.f32
2 816×/-lowering-/.f64
2 328×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020130
143130
282128
3164128
4388128
5705128
6870128
71181128
81486122
92219122
103617122
114901122
125518122
135622122
145682122
155741122
165749122
175855122
185963122
195963122
206743122
08113119
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(/ (sin v) (+ (* e (cos v)) 1))
(sin v)
v
(+ (* e (cos v)) 1)
e
(cos v)
1
(/ (* e v) (+ 1 e))
(* e v)
e
v
(+ 1 e)
1
(* e (sin v))
e
(sin v)
v
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
(+ (* e (- 0 (cos v))) 1)
e
(- 0 (cos v))
0
(cos v)
v
1
(* e (sin v))
(sin v)
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
1
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(+ (* e (cos v)) 1)
e
(cos v)
v
(* e (sin v))
(sin v)
Outputs
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (sin v) (+ (* e (cos v)) 1))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
(/ (* e v) (+ 1 e))
(fma.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 0 binary64))
(* e v)
(fma.f64 v e #s(literal 0 binary64))
e
v
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* e (sin v))
(fma.f64 (sin.f64 v) e #s(literal 0 binary64))
e
(sin v)
(sin.f64 v)
v
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
(fma.f64 (sin.f64 v) (fma.f64 (-.f64 #s(literal 0 binary64) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* e (- 0 (cos v))) 1)
(fma.f64 (cos.f64 v) (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))
e
(- 0 (cos v))
(-.f64 #s(literal 0 binary64) (cos.f64 v))
0
#s(literal 0 binary64)
(cos v)
(cos.f64 v)
v
1
#s(literal 1 binary64)
(* e (sin v))
(fma.f64 (sin.f64 v) e #s(literal 0 binary64))
(sin v)
(sin.f64 v)
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
(fma.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (fma.f64 (sin.f64 v) e #s(literal 0 binary64)))
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
v
(* e (sin v))
(fma.f64 (sin.f64 v) e #s(literal 0 binary64))
(sin v)
(sin.f64 v)

localize81.0ms (0.8%)

Memory
-3.3MiB live, 115.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Samples
50.0ms256×0valid
Compiler

Compiled 129 to 22 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 9.0ms (26.2% of total)
ival-sin: 8.0ms (23.3% of total)
ival-div: 6.0ms (17.4% of total)
ival-cos: 5.0ms (14.5% of total)
ival-add: 4.0ms (11.6% of total)
ival-sub: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-9.3MiB live, 28.8MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (/ (sin v) (+ (* e (cos v)) 1))>
#<alt (sin v)>
#<alt (+ (* e (cos v)) 1)>
#<alt (cos v)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (+ 1 e)>
#<alt (* e v)>
#<alt (* e (sin v))>
#<alt (+ (* e (- 0 (cos v))) 1)>
#<alt (- 0 (cos v))>
#<alt (/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))>
#<alt (/ (+ (* e (cos v)) 1) (* e (sin v)))>
#<alt (* (/ (sin v) (+ (* e (cos v)) 1)) e)>
#<alt (* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))>
Outputs
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (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) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<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))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<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 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt 1>
#<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 (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 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (* -1 (* e (cos v)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* e (cos v)))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (+ 1 (* -1 e))>
#<alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt -1>
#<alt (- (* 1/2 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* -1 (cos v))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
e
@-inf
(/ (+ (* e (cos v)) 1) (* e (sin v)))
2.0ms
v
@0
(/ (sin v) (+ (* e (cos v)) 1))
1.0ms
v
@0
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
1.0ms
v
@0
(/ (+ (* e (cos v)) 1) (* e (sin v)))
1.0ms
v
@0
(/ (* e v) (+ 1 e))

rewrite378.0ms (3.8%)

Memory
18.2MiB live, 448.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 646×accelerator-lowering-fma.f32
4 646×accelerator-lowering-fma.f64
4 428×*-lowering-*.f32
4 428×*-lowering-*.f64
3 984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
111489
286389
01012482
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 178
Calls
Call 1
Inputs
(/ (sin v) (+ (* e (cos v)) 1))
(sin v)
(+ (* e (cos v)) 1)
(cos v)
(/ (* e v) (+ 1 e))
(+ 1 e)
(* e v)
(* e (sin v))
(+ (* e (- 0 (cos v))) 1)
(- 0 (cos v))
(/ 1 (/ (+ (* e (cos v)) 1) (* e (sin v))))
(/ (+ (* e (cos v)) 1) (* e (sin v)))
(* (/ (sin v) (+ (* e (cos v)) 1)) e)
(* (+ (* e (- 0 (cos v))) 1) (* e (sin v)))
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 0 binary64))) (*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))))))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 0 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))

simplify701.0ms (7%)

Memory
-245.9MiB live, 733.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 958×accelerator-lowering-fma.f32
11 958×accelerator-lowering-fma.f64
6 796×*-lowering-*.f32
6 796×*-lowering-*.f64
4 440×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04253666
113863515
243423372
088403195
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
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)))
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)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
1
(+ 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 (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))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
-1
(- (* 1/2 (pow v 2)) 1)
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* -1 (cos v))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (* e (sin v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) 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 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) (* -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 (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
Outputs
(/ v (+ 1 e))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 e (fma.f64 e (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (cos.f64 v)))) (sin.f64 v))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.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)))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 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))))) e)
(/.f64 (+.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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.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) (/.f64 (sin.f64 v) (cos.f64 v))) (-.f64 #s(literal 0 binary64) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
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(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
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(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
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(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
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(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos v)
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(cos v)
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(cos v)
(cos.f64 v)
(cos v)
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(cos v)
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(* e v)
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(* e (+ v (* -1 (* e v))))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(* e (+ v (* e (- (* e v) v))))
(*.f64 e (fma.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64)) v))
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v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
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v
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(/ (* e v) (+ 1 e))
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e
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e
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(* e v)
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(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) 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))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.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 (fma.f64 e (fma.f64 e (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (cos.f64 v)))) (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 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 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)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -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 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 0 binary64) (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* e (* v (+ 1 (* -1 e))))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(*.f64 v (*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (fma.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64)))) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 e (-.f64 #s(literal 1 binary64) e))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))

eval218.0ms (2.2%)

Memory
8.3MiB live, 423.2MiB allocated
Compiler

Compiled 41 448 to 3 701 computations (91.1% saved)

prune205.0ms (2%)

Memory
8.1MiB live, 383.5MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 869221 891
Fresh325
Picked235
Done000
Total1 874271 901
Accuracy
100.0%
Counts
1 901 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
▶99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶50.4%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
▶50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
49.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
96.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
2.6%
(-.f64 v (/.f64 v e))
50.4%
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
50.5%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
98.2%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
72.6%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
48.9%
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
73.7%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.6%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
49.8%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
48.1%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
48.2%
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
49.5%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
48.8%
(*.f64 v e)
48.1%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓97.5%
(*.f64 e (sin.f64 v))
▶4.8%
v
Compiler

Compiled 727 to 436 computations (40% saved)

simplify368.0ms (3.7%)

Memory
-11.1MiB live, 388.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓cost-diff192
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
✓cost-diff192
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓cost-diff384
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
11 242×accelerator-lowering-fma.f32
11 242×accelerator-lowering-fma.f64
2 216×*-lowering-*.f32
2 216×*-lowering-*.f64
2 010×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027184
152184
297182
3222182
4609182
52015182
64132164
76020164
08089154
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
v
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
e
(cos v)
1
v
(/ e (/ (+ e 1) v))
e
(/ (+ e 1) v)
(+ e 1)
1
v
(/ 1 (/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v))
1
(/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v)
(+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e)))
(* v v)
v
(- -1/2 (/ (+ (* e -1/6) -1/6) e))
-1/2
(/ (+ (* e -1/6) -1/6) e)
(+ (* e -1/6) -1/6)
e
-1/6
(+ 1 (/ 1 e))
(/ 1 e)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
e
(/ (+ (* e (cos v)) 1) (sin v))
(+ (* e (cos v)) 1)
(cos v)
v
1
(sin v)
Outputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(/ (+ (* e (cos v)) 1) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
v
(/ e (/ (+ e 1) v))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
e
(/ (+ e 1) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
v
(/ 1 (/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v))
(/.f64 v (fma.f64 (fma.f64 v v #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
1
#s(literal 1 binary64)
(/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v)
(/.f64 (fma.f64 (fma.f64 v v #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e)))
(fma.f64 (fma.f64 v v #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v v)
(fma.f64 v v #s(literal 0 binary64))
v
(- -1/2 (/ (+ (* e -1/6) -1/6) e))
(+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (+ (* e -1/6) -1/6) e)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(+ (* e -1/6) -1/6)
(fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))
e
-1/6
#s(literal -1/6 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/ (+ (* e (cos v)) 1) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(+ (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
v
1
#s(literal 1 binary64)
(sin v)
(sin.f64 v)

localize177.0ms (1.8%)

Memory
-12.3MiB live, 107.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓accuracy99.4%
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
✓accuracy98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓accuracy88.0%
(/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓accuracy99.7%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
69.0ms256×0valid
Compiler

Compiled 171 to 29 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sin: 17.0ms (31.6% of total)
ival-div: 15.0ms (27.9% of total)
ival-mult: 6.0ms (11.2% of total)
ival-add: 5.0ms (9.3% of total)
ival-cos: 5.0ms (9.3% of total)
const: 4.0ms (7.4% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
15 → 300
Calls
Call 1
Inputs
#<alt (/ (sin v) (/ (+ (* e (cos v)) 1) e))>
#<alt (sin v)>
#<alt (/ (+ (* e (cos v)) 1) e)>
#<alt (+ (* e (cos v)) 1)>
#<alt (/ e (/ (+ e 1) v))>
#<alt (/ (+ e 1) v)>
#<alt (+ e 1)>
#<alt (/ 1 (/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v))>
#<alt (- -1/2 (/ (+ (* e -1/6) -1/6) e))>
#<alt (/ (+ (* e -1/6) -1/6) e)>
#<alt (/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v)>
#<alt (/ e (/ (+ (* e (cos v)) 1) (sin v)))>
#<alt (/ (+ (* e (cos v)) 1) (sin v))>
#<alt (cos v)>
#<alt (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e)))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt 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 e) 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 (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<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 v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1 (/ (* (pow v 2) (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2))))))) (+ 1 (/ 1 e)))) (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (/ (* (pow v 2) (* (pow (- (* 1/6 (/ 1 e)) 1/3) 2) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2))))))) (pow (+ 1 (/ 1 e)) 2)) (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (+ 1 (/ 1 e)))))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ 1 (* v (- (* 1/6 (/ 1 e)) 1/3)))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* e (pow (- (* 1/6 (/ 1 e)) 1/3) 2))) (/ 1 (pow (- (* 1/6 (/ 1 e)) 1/3) 2))) (pow v 2))) (/ 1 (- (* 1/6 (/ 1 e)) 1/3))) v)>
#<alt (/ (- (+ (/ 1 (- (* 1/6 (/ 1 e)) 1/3)) (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (- (* 1/6 (/ 1 e)) 1/3) 2))) (/ 1 (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (* (pow v 4) (- (* 1/6 (/ 1 e)) 1/3)))) (+ (/ 1 (* e (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2))))) v)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 (/ 1 e)) 2) (+ (/ 1 (* e (pow (- (* 1/6 (/ 1 e)) 1/3) 2))) (/ 1 (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (* (pow v 6) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (- (* 1/6 (/ 1 e)) 1/3))) (+ (* -1 (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (- (* 1/6 (/ 1 e)) 1/3) 2))) (/ 1 (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (* (pow v 4) (- (* 1/6 (/ 1 e)) 1/3)))) (+ (/ 1 (* e (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))))) v)>
#<alt (/ 1 (* v (- (* 1/6 (/ 1 e)) 1/3)))>
#<alt (* -1 (/ (- (+ (/ 1 (* e (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (- (* 1/6 (/ 1 e)) 1/3))) v))>
#<alt (* -1 (/ (- (* -1 (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (- (* 1/6 (/ 1 e)) 1/3) 3)))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (/ 1 (- (* 1/6 (/ 1 e)) 1/3)))) v))>
#<alt (* -1 (/ (- (/ (pow (+ 1 (/ 1 e)) 3) (* (pow v 6) (pow (- (* 1/6 (/ 1 e)) 1/3) 4))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (- (* 1/6 (/ 1 e)) 1/3) 2)))) (+ (/ 1 (- (* 1/6 (/ 1 e)) 1/3)) (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (- (* 1/6 (/ 1 e)) 1/3) 3)))))) v))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (- (* -1/6 (pow v 2)) 1)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 2)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (- (* -1/6 (pow v 2)) 1)) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 3)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 4))) (* -1 (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 2)) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) e)) (/ (* v (- (* -1/6 (pow v 2)) 1)) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (/ 1/6 e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt -1/3>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (/ -1/6 e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (/ (+ 1 (/ 1 e)) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (* v (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* v (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1 (* v (+ (* -1 (- (* 1/6 (/ 1 e)) 1/3)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (- (* 1/6 (/ 1 e)) 1/3)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (- (* 1/6 (/ 1 e)) 1/3)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ 1 (* -1/3 (pow v 2))) v)>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (/ (+ 1 (* -1/3 (pow v 2))) v)>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* -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 (/ 1 e))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))>
#<alt (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) e)>
#<alt (/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)>
#<alt (/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)>
#<alt (/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))>
Calls

75 calls:

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

rewrite678.0ms (6.7%)

Memory
-5.0MiB live, 433.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 210×/-lowering-/.f32
5 210×/-lowering-/.f64
4 258×*-lowering-*.f32
4 258×*-lowering-*.f64
3 744×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027143
1185141
21524141
08298128
Stop Event
1×iter limit
1×node limit
Counts
15 → 819
Calls
Call 1
Inputs
(/ (sin v) (/ (+ (* e (cos v)) 1) e))
(sin v)
(/ (+ (* e (cos v)) 1) e)
(+ (* e (cos v)) 1)
(/ e (/ (+ e 1) v))
(/ (+ e 1) v)
(+ e 1)
(/ 1 (/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v))
(- -1/2 (/ (+ (* e -1/6) -1/6) e))
(/ (+ (* e -1/6) -1/6) e)
(/ (+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v)
(/ e (/ (+ (* e (cos v)) 1) (sin v)))
(/ (+ (* e (cos v)) 1) (sin v))
(cos v)
(+ (* (* v v) (- -1/2 (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e))) (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) e)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(*.f64 (-.f64 #s(literal 0 binary64) e) (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 e (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) e)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 v)))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
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simplify423.0ms (4.2%)

Memory
-12.5MiB live, 642.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 370×accelerator-lowering-fma.f32
6 370×accelerator-lowering-fma.f64
6 168×*-lowering-*.f32
6 168×*-lowering-*.f64
2 610×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05094580
115354481
247474442
080984170
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (* 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))))
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(* 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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(* 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))))
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(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
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(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
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(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
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(/ (+ 1 (* e (cos v))) e)
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(/ (+ 1 (* e (cos v))) e)
1
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v
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v
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(/ (* e v) (+ 1 e))
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1
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(/ 1/6 e)
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(- (* 1/6 (/ 1 e)) 1/3)
(- (* 1/6 (/ 1 e)) 1/3)
(/ -1/6 e)
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(/ (- (* -1/6 e) 1/6) e)
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(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
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(* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
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(* e (sin v))
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(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(+ 1 (/ 1 e))
(+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e)))
(* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(* (pow v 2) (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3))
(/ (+ 1 (* 1/6 (pow v 2))) e)
(/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)
(/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)
(/ (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))) e)
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))
(+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))
(+ 1 (+ (* -1 (/ (- (* -1/6 (pow v 2)) 1) e)) (* -1/3 (pow v 2))))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.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 (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* 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 (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* 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 (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 e (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (*.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 v)))) (sin.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 (fma.f64 e (fma.f64 e (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (cos.f64 v)))) (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 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.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 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 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)))) (/ (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))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
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eval343.0ms (3.4%)

Memory
18.0MiB live, 329.4MiB allocated
Compiler

Compiled 34 898 to 3 249 computations (90.7% saved)

prune150.0ms (1.5%)

Memory
-26.9MiB live, 419.5MiB allocated
Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New1 182211 203
Fresh21719
Picked415
Done033
Total1 188421 230
Accuracy
100.0%
Counts
1 230 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
✓50.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.0%
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
97.4%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
6.0%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
50.4%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶51.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
97.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
48.7%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
▶50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
6.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
48.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
48.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
96.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
50.2%
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
4.7%
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
2.6%
(-.f64 v (/.f64 v e))
50.4%
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
50.5%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
51.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
98.2%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
72.6%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
48.9%
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
73.7%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.6%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
49.8%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
48.1%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
48.2%
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
49.5%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
▶48.8%
(*.f64 v e)
▶49.8%
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
49.5%
(*.f64 e (-.f64 v (*.f64 e v)))
48.1%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓97.5%
(*.f64 e (sin.f64 v))
✓4.8%
v
Compiler

Compiled 1 198 to 748 computations (37.6% saved)

simplify238.0ms (2.4%)

Memory
9.1MiB live, 484.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e)
✓cost-diff704
(/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 v e)
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Rules
7 280×accelerator-lowering-fma.f32
7 280×accelerator-lowering-fma.f64
3 288×*-lowering-*.f32
3 288×*-lowering-*.f64
1 974×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043322
1106306
2272296
3652292
41631292
53156287
66501278
08085251
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin v) (/ (+ e 1) e))
(sin v)
v
(/ (+ e 1) e)
(+ e 1)
e
1
(* v e)
v
e
(* e (/ v (+ (* (* v v) 1/6) 1)))
e
(/ v (+ (* (* v v) 1/6) 1))
v
(+ (* (* v v) 1/6) 1)
(* v v)
1/6
1
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
e
(/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v)
(+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1))
(* v v)
v
(+ (* e -1/2) (+ (* e 1/6) 1/6))
-1/2
(+ (* e 1/6) 1/6)
1/6
(+ e 1)
1
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
1
(/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v)
(+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e)))
(* v v)
v
(+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)
(/ (+ (* e (* e 1/36)) -1/36) -1)
(+ (* e (* e 1/36)) -1/36)
e
(* e 1/36)
1/36
-1/36
-1
(/ (/ 1 (+ (* e -1/6) 1/6)) e)
(/ 1 (+ (* e -1/6) 1/6))
(+ (* e -1/6) 1/6)
-1/6
1/6
-1/2
(+ 1 (/ 1 e))
(/ 1 e)
Outputs
(/ (sin v) (/ (+ e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
v
(/ (+ e 1) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ e 1)
(+.f64 e #s(literal 1 binary64))
e
1
#s(literal 1 binary64)
(* v e)
(*.f64 v e)
v
e
(* e (/ v (+ (* (* v v) 1/6) 1)))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
e
(/ v (+ (* (* v v) 1/6) 1))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)))
v
(+ (* (* v v) 1/6) 1)
(fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
e
(/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)
(+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e))
(* v v)
(*.f64 v v)
v
(+ (* e -1/2) (+ (* e 1/6) 1/6))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* e 1/6) 1/6)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ e 1)
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
(/.f64 v (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (*.f64 e (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
1
#s(literal 1 binary64)
(/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (*.f64 e (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e)))
(fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (*.f64 e (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v v)
(*.f64 v v)
v
(+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (*.f64 e (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
(/ (+ (* e (* e 1/36)) -1/36) -1)
(fma.f64 #s(literal -1/36 binary64) (*.f64 e e) #s(literal 1/36 binary64))
(+ (* e (* e 1/36)) -1/36)
(fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64))
e
(* e 1/36)
(*.f64 e #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
-1/36
#s(literal -1/36 binary64)
-1
#s(literal -1 binary64)
(/ (/ 1 (+ (* e -1/6) 1/6)) e)
(/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/ 1 (+ (* e -1/6) 1/6))
(/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64)))
(+ (* e -1/6) 1/6)
(fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)

localize147.0ms (1.5%)

Memory
-15.6MiB live, 302.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 e #s(literal 1/36 binary64))
✓accuracy99.3%
(fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64))
✓accuracy98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓accuracy88.0%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓accuracy99.9%
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓accuracy75.1%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓accuracy99.9%
(fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))
✓accuracy75.1%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 v e)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
Samples
88.0ms256×0valid
Compiler

Compiled 289 to 45 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 17.0ms (26% of total)
ival-mult: 16.0ms (24.5% of total)
ival-add: 12.0ms (18.4% of total)
const: 12.0ms (18.4% of total)
ival-sin: 7.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
5.5MiB live, 48.1MiB allocated
Counts
20 → 336
Calls
Call 1
Inputs
#<alt (/ (sin v) (/ (+ e 1) e))>
#<alt (sin v)>
#<alt (/ (+ e 1) e)>
#<alt (+ e 1)>
#<alt (* v e)>
#<alt (* e (/ v (+ (* (* v v) 1/6) 1)))>
#<alt (/ v (+ (* (* v v) 1/6) 1))>
#<alt (+ (* (* v v) 1/6) 1)>
#<alt (* v v)>
#<alt (/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))>
#<alt (+ (* e -1/2) (+ (* e 1/6) 1/6))>
#<alt (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v)>
#<alt (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1))>
#<alt (/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))>
#<alt (/ (+ (* e (* e 1/36)) -1/36) -1)>
#<alt (/ (/ 1 (+ (* e -1/6) 1/6)) e)>
#<alt (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)>
#<alt (+ (* e 1/6) 1/6)>
#<alt (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v)>
#<alt (* e 1/36)>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (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 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) e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<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 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (- (* 1/36 (* e (pow v 2))) (* 1/6 e)))))>
#<alt (* v (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1/216 (* e (pow v 2))) (* -1/36 e))) (* 1/6 e)))))>
#<alt (* 6 (/ e v))>
#<alt (/ (+ (* -36 (/ e (pow v 2))) (* 6 e)) v)>
#<alt (/ (- (+ (* 6 e) (* 216 (/ e (pow v 4)))) (* 36 (/ e (pow v 2)))) v)>
#<alt (/ (- (+ (* -1296 (/ e (pow v 6))) (* 6 e)) (+ (* -216 (/ e (pow v 4))) (* 36 (/ e (pow v 2))))) v)>
#<alt (* 6 (/ e v))>
#<alt (* -1 (/ (+ (* -6 e) (* 36 (/ e (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (* 36 (/ e (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (+ (* 36 (/ e (pow v 2))) (* 1296 (/ e (pow v 6)))))) v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/36 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/36 (* -1/216 (pow v 2)))) 1/6))))>
#<alt (/ 6 v)>
#<alt (/ (- 6 (* 36 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 6 (/ 216 (pow v 4))) (* 36 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 6 (/ 216 (pow v 4))) (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6))))) v)>
#<alt (/ 6 v)>
#<alt (* -1 (/ (- (* 36 (/ 1 (pow v 2))) 6) v))>
#<alt (* -1 (/ (- (* 36 (/ 1 (pow v 2))) (+ 6 (/ 216 (pow v 4)))) v))>
#<alt (* -1 (/ (- (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6)))) (+ 6 (/ 216 (pow v 4)))) v))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (* 1/6 (pow v 2))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/6 (pow v 2))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (* -1/3 e)>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1/3 e)>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2))))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1 (/ (* (pow v 2) (* (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2)))))))) (+ 1 (/ 1 e)))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2))))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (/ (* (pow v 2) (* (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2)))))))) (pow (+ 1 (/ 1 e)) 2)) (/ (* (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2))))))) (+ 1 (/ 1 e)))))) (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (* (+ 1/6 (* -1/6 e)) (pow (+ 1 (/ 1 e)) 2))))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ 1 (* v (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (* e (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))) (/ 1 (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))) (pow v 2))) (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2))) v)>
#<alt (/ (- (+ (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))) (/ 1 (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (* (pow v 4) (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)))) (+ (/ 1 (* e (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))))) v)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 (/ 1 e)) 2) (+ (/ 1 (* e (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))) (/ 1 (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (* (pow v 6) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2))) (+ (* -1 (/ (* (+ 1 (/ 1 e)) (+ (/ 1 (* e (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2))) (/ 1 (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (* (pow v 4) (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)))) (+ (/ 1 (* e (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))))) v)>
#<alt (/ 1 (* v (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)))>
#<alt (* -1 (/ (- (+ (/ 1 (* e (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2))) v))>
#<alt (* -1 (/ (- (* -1 (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 3)))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)))) v))>
#<alt (* -1 (/ (- (/ (pow (+ 1 (/ 1 e)) 3) (* (pow v 6) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 4))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 2) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 2)))) (+ (/ 1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (/ (pow (+ 1 (/ 1 e)) 2) (* (pow v 4) (pow (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2) 3)))))) v))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (- (* -1/6 (pow v 2)) 1)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 2)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (- (* -1/6 (pow v 2)) 1)) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 3)) (* e (pow (+ 1 (* -1/3 (pow v 2))) 4))) (* -1 (/ (* v (pow (- (* -1/6 (pow v 2)) 1) 2)) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) e)) (/ (* v (- (* -1/6 (pow v 2)) 1)) (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/36 (pow e 2)))>
#<alt (+ 1/36 (* -1/36 (pow e 2)))>
#<alt (+ 1/36 (* -1/36 (pow e 2)))>
#<alt (* -1/36 (pow e 2))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (* -1/36 (pow e 2))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (* (pow e 2) (- (* 1/36 (/ 1 (pow e 2))) 1/36))>
#<alt (/ 6 e)>
#<alt (/ (+ 6 (* 6 e)) e)>
#<alt (/ (+ 6 (* e (+ 6 (* 6 e)))) e)>
#<alt (/ (+ 6 (* e (+ 6 (* e (+ 6 (* 6 e)))))) e)>
#<alt (/ -6 (pow e 2))>
#<alt (* -1 (/ (+ 6 (* 6 (/ 1 e))) (pow e 2)))>
#<alt (/ (- (* -1 (/ (+ 6 (* 6 (/ 1 e))) e)) 6) (pow e 2))>
#<alt (/ (- (* -1 (/ (+ 6 (* 6 (/ 1 e))) (pow e 2))) (+ 6 (* 6 (/ 1 e)))) (pow e 2))>
#<alt (/ -6 (pow e 2))>
#<alt (* -1 (/ (+ 6 (* 6 (/ 1 e))) (pow e 2)))>
#<alt (/ (- (* -1 (/ (+ 6 (* 6 (/ 1 e))) e)) 6) (pow e 2))>
#<alt (/ (- (* -1 (/ (+ 6 (+ (* 6 (/ 1 e)) (/ 6 (pow e 2)))) e)) 6) (pow e 2))>
#<alt (/ 1/6 e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt (/ (+ 1/6 (* -1/3 e)) e)>
#<alt -1/3>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (/ (+ 1 (/ 1 e)) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (/ 1 e))) v)>
#<alt (* v (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2))>
#<alt (* v (- (+ (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/2))>
#<alt (* v (- (+ (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/2))>
#<alt (* v (- (+ (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/2))>
#<alt (* v (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2))>
#<alt (* -1 (* v (+ (* -1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (- (* -1 (/ (- (* 1/36 (pow e 2)) 1/36) (* e (+ 1/6 (* -1/6 e))))) 1/2)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ 1 (* -1/3 (pow v 2))) v)>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (/ (+ 1 (* -1/3 (pow v 2))) v)>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
#<alt (* 1/36 e)>
Calls

84 calls:

TimeVariablePointExpression
23.0ms
v
@inf
(/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v)
3.0ms
v
@-inf
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
2.0ms
v
@inf
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
2.0ms
v
@0
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
1.0ms
v
@inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))

rewrite373.0ms (3.7%)

Memory
30.8MiB live, 659.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 228×*-lowering-*.f32
5 228×*-lowering-*.f64
3 880×/-lowering-/.f32
3 880×/-lowering-/.f64
3 708×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043232
1297180
22853180
08535162
Stop Event
1×iter limit
1×node limit
Counts
20 → 518
Calls
Call 1
Inputs
(/ (sin v) (/ (+ e 1) e))
(sin v)
(/ (+ e 1) e)
(+ e 1)
(* v e)
(* e (/ v (+ (* (* v v) 1/6) 1)))
(/ v (+ (* (* v v) 1/6) 1))
(+ (* (* v v) 1/6) 1)
(* v v)
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
(+ (* e -1/2) (+ (* e 1/6) 1/6))
(/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v)
(+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1))
(/ 1 (/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v))
(/ (+ (* e (* e 1/36)) -1/36) -1)
(/ (/ 1 (+ (* e -1/6) 1/6)) e)
(+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)
(+ (* e 1/6) 1/6)
(/ (+ (* (* v v) (+ (* (/ (+ (* e (* e 1/36)) -1/36) -1) (/ (/ 1 (+ (* e -1/6) 1/6)) e)) -1/2)) (+ 1 (/ 1 e))) v)
(* e 1/36)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v))) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))) (-.f64 #s(literal 0 binary64) e))
(sin.f64 v)
(exp.f64 (*.f64 (log.f64 (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (*.f64 e (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (*.f64 e (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e) e))
(/.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal -1 binary64)) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 e #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e))) (neg.f64 (-.f64 #s(literal 0 binary64) e)))
(/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) e)
(/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) e))
(/.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (+.f64 e #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1 binary64))
(pow.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) e)))
(*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (/.f64 e (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (pow.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
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(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) v)
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 #s(literal 1 binary64) v)) (fma.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) (/.f64 #s(literal 1 binary64) v)) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) #s(literal 1 binary64))
(pow.f64 (/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (-.f64 #s(literal 0 binary64) v))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 v (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))))))))
(*.f64 (pow.f64 (/.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e) #s(literal -1 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 e #s(literal 1/36 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(*.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/36 binary64) e)

simplify459.0ms (4.5%)

Memory
-15.1MiB live, 749.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 942×accelerator-lowering-fma.f32
7 942×accelerator-lowering-fma.f64
5 778×*-lowering-*.f32
5 778×*-lowering-*.f64
4 060×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06065540
118995434
263085311
083654884
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (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)))
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) e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e v)
(* 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 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (- (* 1/36 (* e (pow v 2))) (* 1/6 e)))))
(* v (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1/216 (* e (pow v 2))) (* -1/36 e))) (* 1/6 e)))))
(* 6 (/ e v))
(/ (+ (* -36 (/ e (pow v 2))) (* 6 e)) v)
(/ (- (+ (* 6 e) (* 216 (/ e (pow v 4)))) (* 36 (/ e (pow v 2)))) v)
(/ (- (+ (* -1296 (/ e (pow v 6))) (* 6 e)) (+ (* -216 (/ e (pow v 4))) (* 36 (/ e (pow v 2))))) v)
(* 6 (/ e v))
(* -1 (/ (+ (* -6 e) (* 36 (/ e (pow v 2)))) v))
(* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (* 36 (/ e (pow v 2))))) v))
(* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (+ (* 36 (/ e (pow v 2))) (* 1296 (/ e (pow v 6)))))) v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/36 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/36 (* -1/216 (pow v 2)))) 1/6))))
(/ 6 v)
(/ (- 6 (* 36 (/ 1 (pow v 2)))) v)
(/ (- (+ 6 (/ 216 (pow v 4))) (* 36 (/ 1 (pow v 2)))) v)
(/ (- (+ 6 (/ 216 (pow v 4))) (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6))))) v)
(/ 6 v)
(* -1 (/ (- (* 36 (/ 1 (pow v 2))) 6) v))
(* -1 (/ (- (* 36 (/ 1 (pow v 2))) (+ 6 (/ 216 (pow v 4)))) v))
(* -1 (/ (- (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6)))) (+ 6 (/ 216 (pow v 4)))) v))
1
(+ 1 (* 1/6 (pow v 2)))
(+ 1 (* 1/6 (pow v 2)))
(+ 1 (* 1/6 (pow v 2)))
(* 1/6 (pow v 2))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(* 1/6 (pow v 2))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))
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(* 1/36 e)
(* 1/36 e)
(* 1/36 e)
(* 1/36 e)
(* 1/36 e)
Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 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 (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 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 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))) #s(literal -1/5040 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 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) (* -1 (* e (sin v)))))
(*.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (+.f64 e #s(literal -1 binary64))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (sin.f64 v) (+.f64 (-.f64 #s(literal 0 binary64) e) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 v))) (sin.f64 v)))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(-.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e)) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 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) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(* v (+ e (* (pow v 2) (- (* 1/36 (* e (pow v 2))) (* 1/6 e)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/36 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (- (* (pow v 2) (- (* -1/216 (* e (pow v 2))) (* -1/36 e))) (* 1/6 e)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/216 binary64)) (*.f64 e #s(literal 1/36 binary64))) (*.f64 e #s(literal -1/6 binary64))) e))
(* 6 (/ e v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(/ (+ (* -36 (/ e (pow v 2))) (* 6 e)) v)
(/.f64 (fma.f64 e #s(literal 6 binary64) (*.f64 #s(literal -36 binary64) (/.f64 e (*.f64 v v)))) v)
(/ (- (+ (* 6 e) (* 216 (/ e (pow v 4)))) (* 36 (/ e (pow v 2)))) v)
(/.f64 (fma.f64 #s(literal 216 binary64) (/.f64 e (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 e #s(literal 6 binary64) (*.f64 #s(literal -36 binary64) (/.f64 e (*.f64 v v))))) v)
(/ (- (+ (* -1296 (/ e (pow v 6))) (* 6 e)) (+ (* -216 (/ e (pow v 4))) (* 36 (/ e (pow v 2))))) v)
(/.f64 (fma.f64 #s(literal -1296 binary64) (/.f64 e (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 216 binary64) (/.f64 e (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 e #s(literal 6 binary64) (*.f64 #s(literal -36 binary64) (/.f64 e (*.f64 v v)))))) v)
(* 6 (/ e v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(* -1 (/ (+ (* -6 e) (* 36 (/ e (pow v 2)))) v))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e #s(literal -6 binary64) (*.f64 (/.f64 e (*.f64 v v)) #s(literal 36 binary64))) v))
(* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (* 36 (/ e (pow v 2))))) v))
(/.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 36 binary64) (fma.f64 e #s(literal -6 binary64) (/.f64 (*.f64 e #s(literal -216 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (+ (* -216 (/ e (pow v 4))) (+ (* -6 e) (+ (* 36 (/ e (pow v 2))) (* 1296 (/ e (pow v 6)))))) v))
(/.f64 (fma.f64 (/.f64 e (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -216 binary64) (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 36 binary64) (fma.f64 (/.f64 e (pow.f64 v #s(literal 6 binary64))) #s(literal 1296 binary64) (*.f64 e #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* 1/36 (pow v 2)) 1/6))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/36 (* -1/216 (pow v 2)))) 1/6))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/216 binary64) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/ 6 v)
(/.f64 #s(literal 6 binary64) v)
(/ (- 6 (* 36 (/ 1 (pow v 2)))) v)
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 v v))) v)
(/ (- (+ 6 (/ 216 (pow v 4))) (* 36 (/ 1 (pow v 2)))) v)
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal -36 binary64) (*.f64 v v)))) v)
(/ (- (+ 6 (/ 216 (pow v 4))) (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6))))) v)
(/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal -36 binary64) (*.f64 v v)))) (/.f64 #s(literal 1296 binary64) (pow.f64 v #s(literal 6 binary64)))) v)
(/ 6 v)
(/.f64 #s(literal 6 binary64) v)
(* -1 (/ (- (* 36 (/ 1 (pow v 2))) 6) v))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 v v))) v)
(* -1 (/ (- (* 36 (/ 1 (pow v 2))) (+ 6 (/ 216 (pow v 4)))) v))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 v v)) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (- (+ (* 36 (/ 1 (pow v 2))) (* 1296 (/ 1 (pow v 6)))) (+ 6 (/ 216 (pow v 4)))) v))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 v v)) (+.f64 (-.f64 (/.f64 #s(literal 1296 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) v))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 1/6 binary64)))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal 1/6 binary64)))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(*.f64 e (-.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(*.f64 e (fma.f64 e (-.f64 (/.f64 (*.f64 e (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(*.f64 e (fma.f64 e (fma.f64 e (-.f64 (/.f64 (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/ v (+ 1 (* -1/3 (pow v 2))))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))
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(-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e))
(+ (* -1 (/ (- (* -1/6 v) (/ 1 v)) e)) (+ (* -1/3 v) (/ 1 v)))
(-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))
(* 1/36 e)
(*.f64 e #s(literal 1/36 binary64))

eval126.0ms (1.3%)

Memory
-4.7MiB live, 232.1MiB allocated
Compiler

Compiled 29 597 to 2 832 computations (90.4% saved)

prune130.0ms (1.3%)

Memory
13.7MiB live, 292.8MiB allocated
Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New89723920
Fresh102333
Picked325
Done044
Total91052962
Accuracy
100.0%
Counts
962 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
49.8%
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓50.5%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
4.7%
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
97.4%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
6.0%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
6.0%
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
51.2%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
51.2%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
50.0%
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
6.0%
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
50.0%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
6.0%
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
97.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
50.3%
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
4.7%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
6.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
96.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
4.7%
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
2.6%
(-.f64 v (/.f64 v e))
50.4%
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
48.4%
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
50.5%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
99.2%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
51.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
98.2%
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
72.6%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
73.7%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.6%
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
48.1%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
48.2%
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
49.8%
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
48.2%
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
49.5%
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
✓48.8%
(*.f64 v e)
✓49.8%
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
4.4%
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
4.7%
(*.f64 e (/.f64 #s(literal 6 binary64) v))
49.5%
(*.f64 e (-.f64 v (*.f64 e v)))
47.6%
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
49.8%
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
48.1%
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓97.5%
(*.f64 e (sin.f64 v))
6.3%
(sin.f64 v)
✓4.8%
v
Compiler

Compiled 1 844 to 770 computations (58.2% saved)

regimes93.0ms (0.9%)

Memory
17.9MiB live, 93.4MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (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 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

48.0ms
v
22.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
e
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)

regimes87.0ms (0.9%)

Memory
-9.2MiB live, 70.9MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (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 (sin.f64 v) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (fma.f64 e (-.f64 #s(literal 0 binary64) (cos.f64 v)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
Calls

3 calls:

44.0ms
v
17.0ms
e
17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.2%1e
99.2%1v
99.2%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)

regimes54.0ms (0.5%)

Memory
-16.5MiB live, 94.4MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
Calls

3 calls:

17.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
e
Results
AccuracySegmentsBranch
98.2%1e
98.2%1v
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes53.0ms (0.5%)

Memory
9.2MiB live, 105.3MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (sin.f64 v))
Calls

3 calls:

20.0ms
e
16.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.2%2v
97.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.5%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory
15.0MiB live, 90.4MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (*.f64 (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)) (-.f64 #s(literal 0 binary64) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (/.f64 e (fma.f64 e #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (*.f64 (/.f64 v (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 e #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
Calls

3 calls:

16.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
Results
AccuracySegmentsBranch
51.4%1e
51.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.4%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (0.4%)

Memory
-15.7MiB live, 65.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) e)) v))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
Calls

3 calls:

12.0ms
v
11.0ms
e
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
51.4%1e
51.4%1v
51.4%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)

regimes31.0ms (0.3%)

Memory
13.1MiB live, 52.0MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
Calls

3 calls:

10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
10.0ms
v
10.0ms
e
Results
AccuracySegmentsBranch
51.2%1e
51.2%1v
51.2%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)

regimes29.0ms (0.3%)

Memory
1.3MiB live, 40.2MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 v (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (*.f64 v (*.f64 v #s(literal 1/6 binary64)))))
(*.f64 e (/.f64 v (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 e (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 e (/.f64 (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))) v))
Outputs
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
Calls

3 calls:

10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
9.0ms
v
9.0ms
e
Results
AccuracySegmentsBranch
50.5%1v
50.5%1e
50.5%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)

regimes11.0ms (0.1%)

Memory
-26.4MiB live, 14.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))
(-.f64 v (/.f64 v e))
(*.f64 e (/.f64 #s(literal 6 binary64) v))
(/.f64 (*.f64 e #s(literal 6 binary64)) v)
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

4.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
49.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.5%1e
49.5%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
Outputs
(*.f64 v e)
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
2.0ms
v
Results
AccuracySegmentsBranch
48.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.8%1e
48.8%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
4.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.8%1e
4.8%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
2.216136773395429e-29
4.240997254866147e-27
Samples
3.0ms48×0valid
Compiler

Compiled 67 to 50 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (57% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-24.0MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
20×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046112
168112
286112
396112
4103112
5105112
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(if (<=.f64 v #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
v
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e (sin.f64 v)))
(*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 (sin.f64 v) e))
(if (<=.f64 v #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e) (*.f64 e (sin.f64 v)))
(if (<=.f64 v #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) v)
(*.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 v e)
v

soundness1.5s (14.9%)

Memory
24.7MiB live, 1 158.8MiB allocated
Rules
14 120×accelerator-lowering-fma.f32
14 120×accelerator-lowering-fma.f64
11 958×accelerator-lowering-fma.f32
11 958×accelerator-lowering-fma.f64
7 942×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027143
1185141
21524141
08298128
01951209
15841194
216521162
349071089
080391013
0929
13629
223529
3209329
0835227
05094580
115354481
247474442
080984170
06065540
118995434
263085311
083654884
04253666
113863515
243423372
088403195
043232
1297180
22853180
08535162
02094
111489
286389
01012482
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 398 to 230 computations (42.2% saved)

preprocess75.0ms (0.7%)

Memory
8.8MiB live, 167.7MiB allocated
Remove

(negabs v)

Compiler

Compiled 422 to 220 computations (47.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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