Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 10.9s)

analyze14.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (12%)

Memory
-179.0MiB live, 857.2MiB allocated
Samples
847.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 448.0ms
ival-sin: 189.0ms (42.2% of total)
ival-cosh: 136.0ms (30.3% of total)
ival-div: 68.0ms (15.2% of total)
ival-mult: 46.0ms (10.3% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess193.0ms (1.8%)

Memory
-12.0MiB live, 74.1MiB allocated
Algorithm
2×egg-herbie
Rules
1 404×div-sub
1 266×distribute-lft-in
1 178×distribute-rgt-in
794×sub-neg
708×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01946
16544
219244
349644
4160044
5332144
6481844
7577844
8616344
9626444
10628844
11760644
067
1157
2307
3567
4907
51307
62057
73517
87137
97857
108287
118287
08287
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (cosh x) (/ (sin y) y))
Outputs
(* (cosh x) (/ (sin y) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Call 2
Inputs
(* (cosh x) (/ (sin y) y))
(* (cosh (neg x)) (/ (sin y) y))
(* (cosh x) (/ (sin (neg y)) (neg y)))
(neg (* (cosh (neg x)) (/ (sin y) y)))
(neg (* (cosh x) (/ (sin (neg y)) (neg y))))
(* (cosh y) (/ (sin x) x))
Outputs
(* (cosh x) (/ (sin y) y))
(* (cosh (neg x)) (/ (sin y) y))
(* (cosh x) (/ (sin y) y))
(* (cosh x) (/ (sin (neg y)) (neg y)))
(* (cosh x) (/ (sin y) y))
(neg (* (cosh (neg x)) (/ (sin y) y)))
(* (cosh x) (/ (sin y) (neg y)))
(neg (* (cosh x) (/ (sin (neg y)) (neg y))))
(* (cosh x) (/ (sin y) (neg y)))
(* (cosh y) (/ (sin x) x))
Symmetry

(abs x)

(abs y)

explain74.0ms (0.7%)

Memory
32.8MiB live, 111.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(/.f64 (sin.f64 y) y)
00-0-(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
00-0-(cosh.f64 x)
00-0-x
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
37.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 11.0ms (45.7% of total)
ival-cosh: 6.0ms (24.9% of total)
ival-div: 4.0ms (16.6% of total)
ival-mult: 3.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify59.0ms (0.5%)

Memory
-30.1MiB live, 7.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 (sin.f64 y) y)
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Rules
420×*-lowering-*.f32
420×*-lowering-*.f64
274×times-frac
236×associate-*l*
220×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11517
23017
35617
49017
513017
620517
735117
871317
978517
1082817
1182817
082817
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (cosh x) (/ (sin y) y))
(cosh x)
x
(/ (sin y) y)
(sin y)
y
Outputs
(* (cosh x) (/ (sin y) y))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh x)
(cosh.f64 x)
x
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y

localize25.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(/.f64 (sin.f64 y) y)
Samples
18.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 5.0ms (44.3% of total)
ival-cosh: 3.0ms (26.6% of total)
ival-div: 2.0ms (17.7% of total)
ival-mult: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (* (cosh x) (/ (sin y) y))>
#<alt (cosh x)>
#<alt (/ (sin y) y)>
#<alt (sin y)>
Outputs
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (cosh x) (/ (sin y) y))
2.0ms
x
@0
(cosh x)
2.0ms
x
@-inf
(* (cosh x) (/ (sin y) y))
1.0ms
y
@inf
(* (cosh x) (/ (sin y) y))
1.0ms
y
@-inf
(* (cosh x) (/ (sin y) y))

rewrite341.0ms (3.1%)

Memory
-21.2MiB live, 302.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 572×*-lowering-*.f32
5 572×*-lowering-*.f64
4 692×/-lowering-/.f32
4 692×/-lowering-/.f64
1 418×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12315
212615
3102115
0844415
Stop Event
1×iter limit
1×node limit
Counts
4 → 453
Calls
Call 1
Inputs
(* (cosh x) (/ (sin y) y))
(cosh x)
(/ (sin y) y)
(sin y)
Outputs
(+.f64 (*.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (cosh.f64 x))) (*.f64 (cosh.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(neg.f64 (*.f64 (cosh.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y))))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x)))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y) (sin.f64 y))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (sin.f64 y)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (sin.f64 y)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y)) (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x)) (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (sin.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y))))
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (-.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (fma.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))

simplify687.0ms (6.3%)

Memory
-0.7MiB live, 793.7MiB allocated
Algorithm
1×egg-herbie
Rules
21 860×accelerator-lowering-fma.f32
21 860×accelerator-lowering-fma.f64
6 160×+-lowering-+.f64
6 160×+-lowering-+.f32
4 408×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083638
1268614
2943588
33164569
08073539
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval55.0ms (0.5%)

Memory
15.8MiB live, 127.2MiB allocated
Compiler

Compiled 8 479 to 1 230 computations (85.5% saved)

prune72.0ms (0.7%)

Memory
-3.6MiB live, 205.5MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New49914513
Fresh000
Picked101
Done000
Total50014514
Accuracy
100.0%
Counts
514 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
55.7%
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
56.5%
(/.f64 (sin.f64 y) y)
▶99.4%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
▶79.6%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
99.6%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
▶42.0%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
66.1%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
99.8%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cosh.f64 x) (sin.f64 y)))
67.1%
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
53.3%
(*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
47.0%
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
▶63.0%
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
Compiler

Compiled 362 to 246 computations (32% saved)

simplify175.0ms (1.6%)

Memory
-11.1MiB live, 301.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))
✓cost-diff64
(fma.f64 y y #s(literal 0 binary64))
✓cost-diff256
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))
✓cost-diff1280
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(/.f64 y (sin.f64 y))
✓cost-diff0
(cosh.f64 x)
✓cost-diff384
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓cost-diff0
(/.f64 (sin.f64 y) y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
✓cost-diff0
(cosh.f64 x)
✓cost-diff320
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(/.f64 (cosh.f64 x) y)
✓cost-diff1088
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
Rules
2 832×*-lowering-*.f32
2 832×*-lowering-*.f64
2 408×/-lowering-/.f32
2 408×/-lowering-/.f64
2 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026132
177126
2328124
31865124
44347124
56358124
67844124
08104122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (cosh x) y) (/ 1 (sin y)))
(/ (cosh x) y)
(cosh x)
x
y
(/ 1 (sin y))
1
(sin y)
(* (cosh x) 1)
(cosh x)
x
1
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
(+ (* 1/2 (* x x)) 1)
1/2
(* x x)
x
1
(/ (sin y) y)
(sin y)
y
(/ (cosh x) (/ y (sin y)))
(cosh x)
x
(/ y (sin y))
y
(sin y)
(* (/ (neg (* (cosh x) (sin y))) (neg (* y (* y y)))) (+ (* y y) 0))
(/ (neg (* (cosh x) (sin y))) (neg (* y (* y y))))
(neg (* (cosh x) (sin y)))
(* (cosh x) (sin y))
(cosh x)
x
(sin y)
y
(neg (* y (* y y)))
(* y (* y y))
(* y y)
(+ (* y y) 0)
0
Outputs
(/ (/ (cosh x) y) (/ 1 (sin y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/ (cosh x) y)
(/.f64 (cosh.f64 x) y)
(cosh x)
(cosh.f64 x)
x
y
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
1
#s(literal 1 binary64)
(sin y)
(sin.f64 y)
(* (cosh x) 1)
(cosh.f64 x)
(cosh x)
(cosh.f64 x)
x
1
#s(literal 1 binary64)
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* 1/2 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y
(/ (cosh x) (/ y (sin y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh x)
(cosh.f64 x)
x
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(sin y)
(sin.f64 y)
(* (/ (neg (* (cosh x) (sin y))) (neg (* y (* y y)))) (+ (* y y) 0))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(/ (neg (* (cosh x) (sin y))) (neg (* y (* y y))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))))
(neg (* (cosh x) (sin y)))
(neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))
(* (cosh x) (sin y))
(*.f64 (cosh.f64 x) (sin.f64 y))
(cosh x)
(cosh.f64 x)
x
(sin y)
(sin.f64 y)
y
(neg (* y (* y y)))
(neg.f64 (*.f64 y (*.f64 y y)))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (* y y) 0)
(*.f64 y y)
0
#s(literal 0 binary64)

localize99.0ms (0.9%)

Memory
28.8MiB live, 147.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (cosh.f64 x) (sin.f64 y))
✓accuracy99.8%
(*.f64 y (*.f64 y y))
✓accuracy84.9%
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y))))
✓accuracy61.6%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(/.f64 y (sin.f64 y))
✓accuracy99.5%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.8%
(/.f64 (sin.f64 y) y)
✓accuracy96.6%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
✓accuracy100.0%
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 (cosh.f64 x) y)
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓accuracy99.8%
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
Samples
64.0ms256×0valid
Compiler

Compiled 148 to 28 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 22.0ms (46% of total)
ival-div: 12.0ms (25.1% of total)
ival-sin: 6.0ms (12.6% of total)
ival-cosh: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
2.9MiB live, 40.3MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/ (/ (cosh x) y) (/ 1 (sin y)))>
#<alt (/ (cosh x) y)>
#<alt (cosh x)>
#<alt (/ 1 (sin y))>
#<alt (* (cosh x) 1)>
#<alt (* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))>
#<alt (+ (* 1/2 (* x x)) 1)>
#<alt (* x x)>
#<alt (/ (sin y) y)>
#<alt (/ (cosh x) (/ y (sin y)))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (* (/ (neg (* (cosh x) (sin y))) (neg (* y (* y y)))) (+ (* y y) 0))>
#<alt (/ (neg (* (cosh x) (sin y))) (neg (* y (* y y))))>
#<alt (+ (* y y) 0)>
#<alt (neg (* (cosh x) (sin y)))>
#<alt (* y (* y y))>
#<alt (* (cosh x) (sin y))>
Outputs
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (/ 1 y)>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/6 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* 1/120 (* (pow y 2) (+ 1 (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (/ (sin y) (pow y 3))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 3))) (/ (sin y) (pow y 3)))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/2 (/ (sin y) (pow y 3))))) (/ (sin y) (pow y 3)))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 3))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/24 (/ (sin y) (pow y 3))))))) (/ (sin y) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))>
#<alt (/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (pow y 2))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (sin y))>
#<alt (- (* -1/2 (* (pow x 2) (sin y))) (sin y))>
#<alt (- (* (pow x 2) (- (* -1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))) (sin y))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))) (* 1/2 (sin y)))) (sin y))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* y (+ (exp x) (/ 1 (exp x)))))>
#<alt (* y (- (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))>
#<alt (* y (- (* (pow y 2) (- (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))) (* -1/12 (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (sin y)>
#<alt (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))>
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))>
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))>
#<alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))>
#<alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
Calls

78 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
3.0ms
y
@inf
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
1.0ms
x
@inf
(/ (neg (* (cosh x) (sin y))) (neg (* y (* y y))))
1.0ms
x
@inf
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
1.0ms
y
@0
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))

rewrite412.0ms (3.8%)

Memory
-15.3MiB live, 750.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 478×*-lowering-*.f32
5 478×*-lowering-*.f64
4 382×accelerator-lowering-fma.f32
4 382×accelerator-lowering-fma.f64
3 910×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
113991
2123991
0867689
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 945
Calls
Call 1
Inputs
(/ (/ (cosh x) y) (/ 1 (sin y)))
(/ (cosh x) y)
(cosh x)
(/ 1 (sin y))
(* (cosh x) 1)
(* (+ (* 1/2 (* x x)) 1) (/ (sin y) y))
(+ (* 1/2 (* x x)) 1)
(* x x)
(/ (sin y) y)
(/ (cosh x) (/ y (sin y)))
(/ y (sin y))
(sin y)
(* (/ (neg (* (cosh x) (sin y))) (neg (* y (* y y)))) (+ (* y y) 0))
(/ (neg (* (cosh x) (sin y))) (neg (* y (* y y))))
(+ (* y y) 0)
(neg (* (cosh x) (sin y)))
(* y (* y y))
(* (cosh x) (sin y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 0 binary64))
(-.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))
(fma.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(fma.f64 (cosh.f64 x) (*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (cosh.f64 x) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))) #s(literal 0 binary64))
(fma.f64 (cosh.f64 x) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 y (*.f64 y (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (cosh.f64 x) y) (*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (*.f64 (neg.f64 (cosh.f64 x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y (*.f64 y y))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y)) #s(literal 0 binary64))
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(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) y) y)
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
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(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 y (*.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (*.f64 y y) y)
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))
(*.f64 (neg.f64 y) (neg.f64 (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) y))
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(*.f64 (neg.f64 (*.f64 y y)) (neg.f64 y))
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(*.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)))
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(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y y)))
(+.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(neg.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
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(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) #s(literal -2 binary64))
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
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(/.f64 (/.f64 (cosh.f64 x) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(*.f64 (cosh.f64 x) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) (cosh.f64 x))
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (cosh.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))

simplify484.0ms (4.5%)

Memory
37.7MiB live, 977.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 912×accelerator-lowering-fma.f32
15 912×accelerator-lowering-fma.f64
5 406×+-lowering-+.f64
5 406×+-lowering-+.f32
5 064×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293708
17323527
227193367
372503328
085673178
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(* 1/2 (/ (* (pow x 2) (sin y)) y))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
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(+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
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1
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(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
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(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) (pow y 3))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) (pow y 3))) (/ (sin y) (pow y 3)))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/2 (/ (sin y) (pow y 3))))) (/ (sin y) (pow y 3)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) (pow y 3))) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) (pow y 3))) (* 1/24 (/ (sin y) (pow y 3))))))) (/ (sin y) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))
(/ (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (pow y 2))
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (pow y 2))
(/ (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (pow y 2))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) (pow y 3)))
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(* -1 (sin y))
(- (* -1/2 (* (pow x 2) (sin y))) (sin y))
(- (* (pow x 2) (- (* -1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))) (sin y))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))) (* 1/2 (sin y)))) (sin y))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
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(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
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(* -1/2 (* y (+ (exp x) (/ 1 (exp x)))))
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(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))) (* -1/12 (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
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(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
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(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(pow y 3)
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(pow y 3)
(pow y 3)
(pow y 3)
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(pow y 3)
(pow y 3)
(sin y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
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(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
Outputs
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y)
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(fma.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal -1/2 binary64)))
(* y (- (* 1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(* y (- (* (pow y 2) (- (* -1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* -1/12 (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(*.f64 y (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) #s(literal -1/240 binary64) #s(literal 1/12 binary64))))))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))) (* -1/12 (+ (exp x) (/ 1 (exp x)))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) #s(literal 1/10080 binary64) #s(literal -1/240 binary64))))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(* -1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(sin y)
(sin.f64 y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
(*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))
(*.f64 (sin.f64 y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(fma.f64 (*.f64 x x) (*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 y))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y #s(literal 1/2 binary64)))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (sin.f64 y) #s(literal 1/2 binary64)))

eval349.0ms (3.2%)

Memory
13.8MiB live, 746.6MiB allocated
Compiler

Compiled 49 144 to 3 446 computations (93% saved)

prune205.0ms (1.9%)

Memory
-15.9MiB live, 631.0MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New2 442162 458
Fresh549
Picked505
Done000
Total2 452202 472
Accuracy
100.0%
Counts
2 472 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.8%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
56.2%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
48.1%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
56.5%
(/.f64 (sin.f64 y) y)
56.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
54.7%
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
55.6%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
51.5%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
54.7%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
79.4%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶99.6%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
▶83.8%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
48.0%
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
26.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
66.1%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
41.9%
(*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
67.1%
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶63.0%
(cosh.f64 x)
▶30.8%
#s(literal 1 binary64)
Compiler

Compiled 542 to 352 computations (35.1% saved)

simplify366.0ms (3.4%)

Memory
-7.1MiB live, 348.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓cost-diff0
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (cosh.f64 x) (sin.f64 y))
✓cost-diff0
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
✓cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
✓cost-diff12864
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
Rules
7 438×accelerator-lowering-fma.f32
7 438×accelerator-lowering-fma.f64
3 494×*-lowering-*.f32
3 494×*-lowering-*.f64
1 184×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026140
171136
2183136
3420134
4780134
51194134
61423134
72148134
82971134
93276134
103719134
113984134
124355134
134792134
145342134
156802134
08032123
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))
(pow y -1/2)
y
-1/2
(* (pow y -1/2) (* (cosh x) (sin y)))
(* (cosh x) (sin y))
(cosh x)
x
(sin y)
1
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1)
x
(* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))
(+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)
(* x x)
(+ (* (* x x) 1/720) 1/24)
1/720
1/24
1/2
1
(cosh x)
x
(* (/ (+ (* x (* x 1/2)) 1) y) (sin y))
(/ (+ (* x (* x 1/2)) 1) y)
(+ (* x (* x 1/2)) 1)
x
(* x 1/2)
1/2
1
y
(sin y)
Outputs
(* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* (pow y -1/2) (* (cosh x) (sin y)))
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(* (cosh x) (sin y))
(*.f64 (cosh.f64 x) (sin.f64 y))
(cosh x)
(cosh.f64 x)
x
(sin y)
(sin.f64 y)
1
#s(literal 1 binary64)
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) 1/720) 1/24)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
1/720
#s(literal 1/720 binary64)
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(cosh x)
(cosh.f64 x)
x
(* (/ (+ (* x (* x 1/2)) 1) y) (sin y))
(/.f64 (*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
(/ (+ (* x (* x 1/2)) 1) y)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(+ (* x (* x 1/2)) 1)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
y
(sin y)
(sin.f64 y)

localize97.0ms (0.9%)

Memory
-12.2MiB live, 216.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy96.6%
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓accuracy95.4%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(*.f64 (cosh.f64 x) (sin.f64 y))
✓accuracy99.8%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
✓accuracy99.8%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y)))
Samples
64.0ms256×0valid
Compiler

Compiled 131 to 28 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 20.0ms (41% of total)
const: 7.0ms (14.4% of total)
ival-pow: 7.0ms (14.4% of total)
ival-sin: 5.0ms (10.3% of total)
ival-add: 4.0ms (8.2% of total)
ival-cosh: 3.0ms (6.2% of total)
ival-div: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
0.1MiB live, 44.4MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#<alt (* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))>
#<alt (pow y -1/2)>
#<alt (* (pow y -1/2) (* (cosh x) (sin y)))>
#<alt (* (cosh x) (sin y))>
#<alt (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))>
#<alt (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)>
#<alt (* x x)>
#<alt (cosh x)>
#<alt (* (/ (+ (* x (* x 1/2)) 1) y) (sin y))>
#<alt (/ (+ (* x (* x 1/2)) 1) y)>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (sin y)>
#<alt (+ (* (* x x) 1/720) 1/24)>
Outputs
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))>
#<alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))>
#<alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))>
#<alt (* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))>
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))))))>
#<alt (+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))>
#<alt (* (sqrt (/ 1 y)) (sin y))>
#<alt (+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y)))>
#<alt (+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y))))))>
#<alt (+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y))))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))>
#<alt (sin y)>
#<alt (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))>
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))>
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))>
#<alt (* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))>
#<alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))>
#<alt (* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/6 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* 1/120 (* (pow y 2) (+ 1 (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ 1 y)>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt (/ (+ 1 (* 1/2 (pow x 2))) y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))
2.0ms
y
@-inf
(* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))
1.0ms
y
@-inf
(* (pow y -1/2) (* (cosh x) (sin y)))
1.0ms
x
@inf
(* (pow y -1/2) (* (cosh x) (sin y)))
1.0ms
y
@0
(pow y -1/2)

rewrite427.0ms (3.9%)

Memory
-18.4MiB live, 821.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 496×accelerator-lowering-fma.f32
10 496×accelerator-lowering-fma.f64
6 380×*-lowering-*.f32
6 380×*-lowering-*.f64
3 214×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
1137118
2973116
08457105
Stop Event
1×iter limit
1×node limit
Counts
15 → 617
Calls
Call 1
Inputs
(* (pow y -1/2) (* (pow y -1/2) (* (cosh x) (sin y))))
(pow y -1/2)
(* (pow y -1/2) (* (cosh x) (sin y)))
(* (cosh x) (sin y))
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1)
(* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))
(+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)
(* x x)
(cosh x)
(* (/ (+ (* x (* x 1/2)) 1) y) (sin y))
(/ (+ (* x (* x 1/2)) 1) y)
(+ (* x (* x 1/2)) 1)
(* x 1/2)
(sin y)
(+ (* (* x x) 1/720) 1/24)
Outputs
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sin.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/17280 binary64))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))

simplify422.0ms (3.9%)

Memory
42.3MiB live, 942.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 192×accelerator-lowering-fma.f32
15 192×accelerator-lowering-fma.f64
5 500×*-lowering-*.f32
5 500×*-lowering-*.f64
5 406×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252799
17792657
228122516
371912514
087222374
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(* -1/2 (/ (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x))))) y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x)))))
(+ (* -1/12 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/12 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/10080 (* (sqrt (pow y 5)) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (* (sqrt y) (+ (exp x) (/ 1 (exp x))))))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (* (pow (sqrt -1) 2) (+ (exp x) (/ 1 (exp x)))))))
(* (sqrt (/ 1 y)) (sin y))
(+ (* 1/2 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sin y)))
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/24 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/2 (* (sqrt (/ 1 y)) (sin y))))))
(+ (* (sqrt (/ 1 y)) (sin y)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 y)) (sin y))) (* (pow x 2) (+ (* 1/720 (* (* (pow x 2) (sin y)) (sqrt (/ 1 y)))) (* 1/24 (* (sqrt (/ 1 y)) (sin y))))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (* (sqrt (/ 1 y)) (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(sin y)
(+ (sin y) (* 1/2 (* (pow x 2) (sin y))))
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* y (+ (exp x) (/ 1 (exp x)))))
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))))
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(* 1/2 (/ (* (pow x 2) (sin y)) y))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* 1/2 (/ (* (pow x 2) (sin y)) y))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (+ (* -1/6 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/2 (pow x 2))))
(+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* 1/120 (* (pow y 2) (+ 1 (* 1/2 (pow x 2)))))))))
(+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ 1 (* (pow x 2) y))))
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
(/ (+ 1 (* 1/2 (pow x 2))) y)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))

eval195.0ms (1.8%)

Memory
-23.2MiB live, 349.9MiB allocated
Compiler

Compiled 24 499 to 2 265 computations (90.8% saved)

prune131.0ms (1.2%)

Memory
5.1MiB live, 360.4MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New92119940
Fresh41115
Picked235
Done000
Total92733960
Accuracy
100.0%
Counts
960 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
57.8%
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
41.3%
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.8%
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
33.8%
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶57.8%
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
▶57.8%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.8%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
40.6%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.6%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
56.2%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.4%
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
▶48.1%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
35.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
56.5%
(/.f64 (sin.f64 y) y)
56.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
54.7%
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
54.7%
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶79.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
55.6%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
51.5%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
56.2%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
✓83.8%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
52.4%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
48.0%
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
26.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
66.1%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
▶67.1%
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
29.9%
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
✓63.0%
(cosh.f64 x)
✓30.8%
#s(literal 1 binary64)
Compiler

Compiled 1 084 to 679 computations (37.4% saved)

simplify396.0ms (3.6%)

Memory
18.3MiB live, 736.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
✓cost-diff0
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
Rules
17 524×accelerator-lowering-fma.f32
17 524×accelerator-lowering-fma.f64
2 880×*-lowering-*.f32
2 880×*-lowering-*.f64
2 610×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035229
1103225
2248225
3564225
41151225
51758225
62587225
74910225
85703225
95859225
105944225
116204225
126478225
137749225
08123201
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* x (* x 1/2)) 1) (* (/ 1 y) (sin y)))
(+ (* x (* x 1/2)) 1)
x
(* x 1/2)
1/2
1
(* (/ 1 y) (sin y))
(/ 1 y)
y
(sin y)
(+ (* x (* x 1/2)) 1)
x
(* x 1/2)
1/2
1
(+ (* x (* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))) 1)
x
(* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))
(+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2)
(* x (+ (* x (* x 1/720)) 1/24))
(+ (* x (* x 1/720)) 1/24)
(* x 1/720)
1/720
1/24
1/2
1
(+ (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) 1)
x
(/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))
(/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2))
1
(+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)
(* x x)
(+ (* x (* x 1/720)) 1/24)
(* x 1/720)
1/720
1/24
1/2
(* (cosh x) (+ (* y (* y -1/6)) 1))
(cosh x)
x
(+ (* y (* y -1/6)) 1)
y
(* y -1/6)
-1/6
1
Outputs
(* (+ (* x (* x 1/2)) 1) (* (/ 1 y) (sin y)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* x (* x 1/2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* (/ 1 y) (sin y))
(/.f64 (sin.f64 y) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(sin y)
(sin.f64 y)
(+ (* x (* x 1/2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* x (* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))) 1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* x (+ (* x (* x 1/720)) 1/24))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(+ (* x (* x 1/720)) 1/24)
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) 1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x 1/720)) 1/24)
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
1/24
#s(literal 1/24 binary64)
1/2
#s(literal 1/2 binary64)
(* (cosh x) (+ (* y (* y -1/6)) 1))
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(cosh x)
(cosh.f64 x)
x
(+ (* y (* y -1/6)) 1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)

localize134.0ms (1.2%)

Memory
18.5MiB live, 289.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 1/720 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal 1/720 binary64))
✓accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
✓accuracy96.6%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
Samples
81.0ms256×0valid
Compiler

Compiled 211 to 37 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 24.0ms (41.9% of total)
ival-add: 10.0ms (17.5% of total)
const: 9.0ms (15.7% of total)
ival-sin: 6.0ms (10.5% of total)
ival-div: 5.0ms (8.7% of total)
ival-cosh: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-16.4MiB live, 57.2MiB allocated
Counts
19 → 252
Calls
Call 1
Inputs
#<alt (* (/ 1 y) (sin y))>
#<alt (* (+ (* x (* x 1/2)) 1) (* (/ 1 y) (sin y)))>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (+ (* x (* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))) 1)>
#<alt (* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))>
#<alt (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2)>
#<alt (* x (+ (* x (* x 1/720)) 1/24))>
#<alt (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))>
#<alt (+ (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) 1)>
#<alt (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2))>
#<alt (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)>
#<alt (* (cosh x) (+ (* y (* y -1/6)) 1))>
#<alt (cosh x)>
#<alt (+ (* y (* y -1/6)) 1)>
#<alt (* y -1/6)>
#<alt (sin y)>
#<alt (* x 1/720)>
#<alt (+ (* x (* x 1/720)) 1/24)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* 1/2 (/ (* (pow x 2) (sin y)) y))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/6 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* 1/120 (* (pow y 2) (+ 1 (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt (/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 2>
#<alt (+ 2 (* -1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/4320 (pow x 2)))) 1/6)))>
#<alt (/ 720 (pow x 4))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 720 (pow x 4))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (* (pow x 2) (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ 1 (+ (* -1/6 (pow y 2)) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow y 2))))) (* 1/2 (+ 1 (* -1/6 (pow y 2))))))))>
#<alt (+ 1 (+ (* -1/6 (pow y 2)) (* (pow x 2) (+ (* 1/2 (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 1 (* -1/6 (pow y 2))))) (* 1/24 (+ 1 (* -1/6 (pow y 2))))))))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))>
#<alt (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
Calls

63 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* (cosh x) (+ (* y (* y -1/6)) 1))
6.0ms
x
@-inf
(+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2)
1.0ms
x
@inf
(* (cosh x) (+ (* y (* y -1/6)) 1))
0.0ms
y
@inf
(* (cosh x) (+ (* y (* y -1/6)) 1))
0.0ms
x
@inf
(* x (+ (* x (* x 1/720)) 1/24))

rewrite482.0ms (4.4%)

Memory
-13.8MiB live, 707.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 120×accelerator-lowering-fma.f32
7 120×accelerator-lowering-fma.f64
4 256×*-lowering-*.f32
4 256×*-lowering-*.f64
3 532×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035182
1209178
21515178
08157156
Stop Event
1×iter limit
1×node limit
Counts
19 → 847
Calls
Call 1
Inputs
(* (/ 1 y) (sin y))
(* (+ (* x (* x 1/2)) 1) (* (/ 1 y) (sin y)))
(+ (* x (* x 1/2)) 1)
(* x 1/2)
(+ (* x (* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))) 1)
(* x (+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2))
(+ (* (* x (+ (* x (* x 1/720)) 1/24)) x) 1/2)
(* x (+ (* x (* x 1/720)) 1/24))
(/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))
(+ (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)))) 1)
(/ 1 (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2))
(+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)
(* (cosh x) (+ (* y (* y -1/6)) 1))
(cosh x)
(+ (* y (* y -1/6)) 1)
(* y -1/6)
(sin y)
(* x 1/720)
(+ (* x (* x 1/720)) 1/24)
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) y)
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sin.f64 y) y))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))

simplify313.0ms (2.9%)

Memory
28.4MiB live, 638.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 582×accelerator-lowering-fma.f32
10 582×accelerator-lowering-fma.f64
3 660×*-lowering-*.f32
3 660×*-lowering-*.f64
3 056×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842453
16072379
218962286
350912266
470472266
081022094
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(* 1/2 (/ (* (pow x 2) (sin y)) y))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* 1/2 (/ (* (pow x 2) (sin y)) y))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (/ (sin y) (* (pow x 2) y))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (+ (* -1/6 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/2 (pow x 2))))
(+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* 1/120 (* (pow y 2) (+ 1 (* 1/2 (pow x 2)))))))))
(+ 1 (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ (* -1/6 (+ 1 (* 1/2 (pow x 2)))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (+ 1 (* 1/2 (pow x 2))))) (* 1/120 (+ 1 (* 1/2 (pow x 2))))))))))
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
(/ (* (sin y) (+ 1 (* 1/2 (pow x 2)))) y)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/4320 (pow x 2)))) 1/6)))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
(/ 720 (pow x 4))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 3888000 (/ 1 (pow x 6))))) (pow x 4))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (* (pow x 2) (+ 1 (* -1/6 (pow y 2)))))))
(+ 1 (+ (* -1/6 (pow y 2)) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow y 2))))) (* 1/2 (+ 1 (* -1/6 (pow y 2))))))))
(+ 1 (+ (* -1/6 (pow y 2)) (* (pow x 2) (+ (* 1/2 (+ 1 (* -1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 1 (* -1/6 (pow y 2))))) (* 1/24 (+ 1 (* -1/6 (pow y 2))))))))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ 1 (* -1/6 (pow y 2))) (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
(* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
(* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (pow y 2)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
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eval205.0ms (1.9%)

Memory
31.9MiB live, 356.0MiB allocated
Compiler

Compiled 38 149 to 2 661 computations (93% saved)

prune176.0ms (1.6%)

Memory
-16.8MiB live, 433.3MiB allocated
Pruning

45 alts after pruning (38 fresh and 7 done)

PrunedKeptTotal
New1 220171 237
Fresh42125
Picked145
Done033
Total1 225451 270
Accuracy
100.0%
Counts
1 270 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
57.8%
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
61.7%
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
41.3%
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.8%
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
33.8%
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓57.8%
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
57.6%
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
40.6%
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
57.8%
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
57.8%
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
41.0%
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓57.8%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
40.6%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.6%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
56.2%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
56.2%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
57.4%
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
✓48.1%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
35.7%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
37.2%
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
56.4%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
56.5%
(/.f64 (sin.f64 y) y)
56.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
54.7%
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
54.7%
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
61.8%
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
51.5%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
55.6%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
✓79.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
60.3%
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
56.2%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
✓83.8%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
52.4%
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
48.0%
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
26.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
66.1%
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
56.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
28.9%
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
12.7%
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
37.2%
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
20.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
29.9%
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
✓63.0%
(cosh.f64 x)
✓30.8%
#s(literal 1 binary64)
Compiler

Compiled 1 780 to 714 computations (59.9% saved)

regimes103.0ms (0.9%)

Memory
-34.3MiB live, 220.6MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cosh.f64 x) (sin.f64 y)))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(*.f64 (cosh.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 (*.f64 (cosh.f64 x) (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (cosh.f64 x) (sin.f64 y))))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

25.0ms
x
20.0ms
(/.f64 (sin.f64 y) y)
20.0ms
y
18.0ms
(cosh.f64 x)
17.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1(cosh.f64 x)
99.9%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes95.0ms (0.9%)

Memory
33.9MiB live, 111.4MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
Outputs
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
Calls

5 calls:

37.0ms
y
15.0ms
(/.f64 (sin.f64 y) y)
15.0ms
x
13.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
12.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
97.6%4x
90.5%2y
99.9%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
92.5%2(cosh.f64 x)
90.5%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes33.0ms (0.3%)

Memory
-15.6MiB live, 23.1MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (sin.f64 y) y)
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (cosh.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(/.f64 (sin.f64 y) y)
(cosh.f64 x)
Calls

1 calls:

31.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.9%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-21.4MiB live, 19.7MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (sin.f64 y) y)
Outputs
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (sin.f64 y) y)
(cosh.f64 x)
Calls

1 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.2%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes61.0ms (0.6%)

Memory
28.4MiB live, 104.9MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cosh.f64 x)
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
Outputs
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(cosh.f64 x)
Calls

5 calls:

14.0ms
y
12.0ms
x
12.0ms
(/.f64 (sin.f64 y) y)
11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
11.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
66.6%2y
73.7%2(/.f64 (sin.f64 y) y)
63.0%1(cosh.f64 x)
65.7%2x
74.0%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes25.0ms (0.2%)

Memory
10.0MiB live, 46.6MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/518400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

2 calls:

12.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
11.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
68.5%2(/.f64 (sin.f64 y) y)
68.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
-10.1MiB live, 31.8MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) y))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
Outputs
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

2 calls:

12.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
68.1%2(/.f64 (sin.f64 y) y)
68.2%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-10.3MiB live, 26.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

2 calls:

8.0ms
(/.f64 (sin.f64 y) y)
5.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
67.7%2(/.f64 (sin.f64 y) y)
67.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
67.6%2(/.f64 (sin.f64 y) y)
67.6%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (0.4%)

Memory
-28.5MiB live, 10.2MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))
Outputs
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
Calls

1 calls:

48.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
67.6%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
30.1MiB live, 30.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
60.2%2y
66.2%2(/.f64 (sin.f64 y) y)
66.2%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes257.0ms (2.4%)

Memory
-13.4MiB live, 25.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) y)
Outputs
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64))
Calls

4 calls:

247.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
56.2%1(cosh.f64 x)
58.7%2x
62.9%2(/.f64 (sin.f64 y) y)
62.9%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes16.0ms (0.1%)

Memory
-19.6MiB live, 25.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
Outputs
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
Calls

5 calls:

5.0ms
y
3.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
48.1%1(cosh.f64 x)
51.3%2x
52.1%2y
54.7%2(/.f64 (sin.f64 y) y)
54.7%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Calls

2 calls:

2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
41.3%3(/.f64 (sin.f64 y) y)
54.5%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Calls

4 calls:

2.0ms
y
2.0ms
x
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
47.8%2(cosh.f64 x)
47.8%2x
34.3%2y
47.9%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
-22.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

5 calls:

2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
y
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
x
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
30.8%1y
30.8%1(/.f64 (sin.f64 y) y)
30.8%1(cosh.f64 x)
30.8%1x
30.8%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999994777551
1.0
0.0ms
-inf
-3.5655836895840247e-22
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999994777551
1.0
0.0ms
-inf
-3.5655836895840247e-22
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999994777551
1.0
0.0ms
-inf
-3.5655836895840247e-22
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999994777551
1.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999994777551
1.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0059954166007676
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.044488515796824e-147
-4.484669863303806e-163
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0059954166007676
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0059954166007676
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify13.0ms (0.1%)

Memory
-7.4MiB live, 30.9MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072493
193493
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (cosh.f64 x))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (/.f64 (sin.f64 y) y) (cosh.f64 x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (cosh.f64 x))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2251799812509257/2251799813685248 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
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(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness1.9s (17.6%)

Memory
10.9MiB live, 1 261.2MiB allocated
Rules
21 860×accelerator-lowering-fma.f32
21 860×accelerator-lowering-fma.f64
15 912×accelerator-lowering-fma.f32
15 912×accelerator-lowering-fma.f64
15 192×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293708
17323527
227193367
372503328
085673178
02699
113991
2123991
0867689
026122
1137118
2973116
08457105
083638
1268614
2943588
33164569
08073539
02252799
17792657
228122516
371912514
087222374
01842453
16072379
218962286
350912266
470472266
081022094
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 288 to 615 computations (52.3% saved)

preprocess244.0ms (2.2%)

Memory
-3.3MiB live, 237.9MiB allocated
Remove

(abs y)

(abs x)

Compiler

Compiled 1 098 to 216 computations (80.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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