cos2 (problem 3.4.1)

Time bar (total: 10.1s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (20.5%)

Results
1.1s1983×2valid
417.0ms4236×0valid
346.0ms2037×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-cos: 1.0s (70.8% of total)
ival-mult: 105.0ms (7.4% of total)
ival-sub: 101.0ms (7.1% of total)
ival-div: 100.0ms (7% of total)
backward-pass: 93.0ms (6.5% of total)
const: 17.0ms (1.2% of total)
Bogosity

preprocess101.0ms (1%)

Algorithm
2×egg-herbie
Rules
1096×fnmadd-define
1018×sum3-define
1016×fma-define
884×fnmadd-define
880×sum5-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
14022
211121
330021
485421
5206121
6362021
7382921
067
1167
2287
3467
4857
51457
62367
74657
811417
925337
1040427
1140627
040627
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
Outputs
(/ (- 1 (cos x)) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Call 2
Inputs
(/ (- 1 (cos x)) (* x x))
(/ (- 1 (cos (neg x))) (* (neg x) (neg x)))
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x))))
Outputs
(/ (- 1 (cos x)) (* x x))
(/ (- 1 (cos x)) (square x))
(/ (- 1 (cos (neg x))) (* (neg x) (neg x)))
(/ (- 1 (cos x)) (square x))
(neg (/ (- 1 (cos (neg x))) (* (neg x) (neg x))))
(/ (+ (cos x) -1) (square x))
Symmetry

(abs x)

explain306.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
672(1.770358130694006e+160)1(3.4587516862497314e+109)(-.f64 #s(literal 1 binary64) (cos.f64 x))
621(1.770358130694006e+160)0-(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
00-0-x
00-0-(*.f64 x x)
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Results
193.0ms118×2valid
38.0ms268×0valid
27.0ms126×1valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-div: 138.0ms (67.4% of total)
ival-cos: 47.0ms (23% of total)
backward-pass: 7.0ms (3.4% of total)
ival-mult: 6.0ms (2.9% of total)
ival-sub: 6.0ms (2.9% of total)
const: 1.0ms (0.5% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify75.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Rules
1096×fnmadd-define
1018×sum3-define
1016×fma-define
880×sum5-define
550×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11617
22817
34617
48517
514517
623617
746517
8114117
9253317
10404217
11406217
0406217
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
(- 1 (cos x))
1
(cos x)
x
(* x x)
Outputs
(/ (- 1 (cos x)) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(* x x)
(*.f64 x x)

localize75.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(cos.f64 x)
✓accuracy77.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓accuracy76.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
35.0ms59×2valid
16.0ms134×0valid
15.0ms63×1valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-cos: 26.0ms (65.3% of total)
backward-pass: 5.0ms (12.6% of total)
ival-div: 3.0ms (7.5% of total)
ival-mult: 3.0ms (7.5% of total)
ival-sub: 3.0ms (7.5% of total)
const: 1.0ms (2.5% of total)

series3.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ (- 1 (cos x)) (* x x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* x x)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<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)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@inf
(* x x)
0.0ms
x
@-inf
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@0
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@0
(cos x)

rewrite199.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1920×sum5-define
1412×fnmadd-define
1340×*-lowering-*.f32
1340×*-lowering-*.f64
1330×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12415
29915
356015
4407115
0801515
Stop Event
1×iter limit
1×node limit
Counts
4 → 393
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
(- 1 (cos x))
(cos x)
(* x x)
Outputs
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (+.f64 (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x)))))
(-.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (/.f64 (*.f64 x x) (/.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 (cos.f64 x) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x (/.f64 (cos.f64 x) x)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x (/.f64 (cos.f64 x) x)))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 x (cos.f64 x)) (/.f64 (*.f64 x (*.f64 x x)) (cos.f64 x))) (/.f64 x (/.f64 (*.f64 x (*.f64 x x)) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x)))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x (/.f64 (cos.f64 x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (/.f64 x (cos.f64 x)) x) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (-.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)) (*.f64 x x)) (/.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x x)) x)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (/.f64 x (cos.f64 x)) x) x) (/.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x))) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x) x)
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) #s(literal -1 binary64))
(*.f64 (-.f64 x (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 x (/.f64 (cos.f64 x) x)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 (-.f64 (/.f64 x (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (cos.f64 x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (cos.f64 x) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(-.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(neg.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))))
(cos.f64 x)
(cos.f64 (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))

simplify183.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2236×sum3-define
2048×fma-lowering-fma.f32
2048×fma-lowering-fma.f64
1796×sum4-define
1588×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042278
1113224
2316224
3818224
41922224
52930224
63504224
74824224
08647224
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(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)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval43.0ms (0.4%)

Compiler

Compiled 7831 to 811 computations (89.6% saved)

prune61.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New42516441
Fresh000
Picked011
Done000
Total42517442
Accuracy
99.9%
Counts
442 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.2%
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
▶45.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
16.6%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
27.3%
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x x)) x)
▶51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
▶53.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
52.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓52.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶53.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
52.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
48.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
15.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
▶50.0%
#s(literal 1/2 binary64)
Compiler

Compiled 433 to 246 computations (43.2% saved)

simplify217.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff6912
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
✓cost-diff0
(*.f64 x (cos.f64 x))
✓cost-diff0
(-.f64 x (*.f64 x (cos.f64 x)))
✓cost-diff0
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓cost-diff256
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓cost-diff0
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Rules
1784×/-lowering-/.f32
1784×/-lowering-/.f64
1716×*-lowering-*.f32
1716×*-lowering-*.f64
1656×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021107
160106
2135105
3404105
4992105
52545105
66691105
08455105
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- 1 (cos x)) x) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
1
(cos x)
x
1/2
(/ 1 (/ x (/ (- 1 (cos x)) x)))
1
(/ x (/ (- 1 (cos x)) x))
x
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(/ (/ (- x (* x (cos x))) x) (* x x))
(/ (- x (* x (cos x))) x)
(- x (* x (cos x)))
x
(* x (cos x))
(cos x)
(* x x)
(+ (* (/ 1 (* x (* x x))) x) (/ (cos x) (- 0 (* x x))))
(/ 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(/ (cos x) (- 0 (* x x)))
(cos x)
(- 0 (* x x))
0
Outputs
(/ (/ (- 1 (cos x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
1/2
#s(literal 1/2 binary64)
(/ 1 (/ x (/ (- 1 (cos x)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
1
#s(literal 1 binary64)
(/ x (/ (- 1 (cos x)) x))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
x
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (/ (- x (* x (cos x))) x) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- x (* x (cos x))) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- x (* x (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(* x (cos x))
(*.f64 x (cos.f64 x))
(cos x)
(cos.f64 x)
(* x x)
(*.f64 x x)
(+ (* (/ 1 (* x (* x x))) x) (/ (cos x) (- 0 (* x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (* x (* x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (cos x) (- 0 (* x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))
(cos x)
(cos.f64 x)
(- 0 (* x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
0
#s(literal 0 binary64)

localize530.0ms (5.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
✓accuracy99.2%
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
✓accuracy92.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
✓accuracy99.8%
(*.f64 x (cos.f64 x))
✓accuracy99.4%
(-.f64 x (*.f64 x (cos.f64 x)))
✓accuracy99.4%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)
✓accuracy99.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓accuracy99.9%
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓accuracy99.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
✓accuracy99.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
355.0ms123×5exit
128.0ms133×0valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-div: 75.0ms (40.6% of total)
backward-pass: 38.0ms (20.6% of total)
ival-cos: 33.0ms (17.9% of total)
ival-mult: 13.0ms (7% of total)
compiled-spec: 12.0ms (6.5% of total)
ival-sub: 10.0ms (5.4% of total)
ival-add: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)

series9.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (/ (- 1 (cos x)) x) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ 1 (/ x (/ (- 1 (cos x)) x)))>
#<alt (/ x (/ (- 1 (cos x)) x))>
#<alt (/ (- x (* x (cos x))) x)>
#<alt (/ (/ (- x (* x (cos x))) x) (* x x))>
#<alt (- x (* x (cos x)))>
#<alt (* x (cos x))>
#<alt (+ (* (/ 1 (* x (* x x))) x) (/ (cos x) (- 0 (* x x))))>
#<alt (/ 1 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (cos x) (- 0 (* x x)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (/ (pow x 2) (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt (+ 1 (* -1 (cos x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (- 1 (cos x)))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
#<alt (* -1 (/ (cos x) (pow x 2)))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (- x (* x (cos x))) x)
1.0ms
x
@-inf
(/ x (/ (- 1 (cos x)) x))
1.0ms
x
@inf
(/ (- x (* x (cos x))) x)
0.0ms
x
@-inf
(/ (- 1 (cos x)) x)
0.0ms
x
@inf
(+ (* (/ 1 (* x (* x x))) x) (/ (cos x) (- 0 (* x x))))

rewrite363.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2222×fma-lowering-fma.f32
2222×fma-lowering-fma.f64
1956×*-lowering-*.f32
1956×*-lowering-*.f64
1796×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02077
110475
256674
3386574
0828574
Stop Event
1×iter limit
1×node limit
Counts
15 → 2149
Calls
Call 1
Inputs
(/ (/ (- 1 (cos x)) x) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(cos x)
(/ 1 (/ x (/ (- 1 (cos x)) x)))
(/ x (/ (- 1 (cos x)) x))
(/ (- x (* x (cos x))) x)
(/ (/ (- x (* x (cos x))) x) (* x x))
(- x (* x (cos x)))
(* x (cos x))
(+ (* (/ 1 (* x (* x x))) x) (/ (cos x) (- 0 (* x x))))
(/ 1 (* x (* x x)))
(* x (* x x))
(* x x)
(/ (cos x) (- 0 (* x x)))
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 x (*.f64 x x)))) x (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (*.f64 x x))) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) x (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) x (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) x (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) x (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 x (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (cos.f64 x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x))) x (*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)))
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(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1 binary64))
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(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) x)
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 0 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 #s(literal 0 binary64) x (*.f64 x (*.f64 x x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
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(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
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(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 x x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) x) x #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 x (/.f64 (*.f64 x x) x))
(*.f64 x (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (*.f64 x x) x) x)
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (cos.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (cos.f64 x)))))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 x (/.f64 (/.f64 (cos.f64 x) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (cos.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))
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(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (cos.f64 x) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify233.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3872×+-lowering-+.f64
3872×+-lowering-+.f32
2878×*-lowering-*.f32
2878×*-lowering-*.f64
2018×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0891238
12751046
27861028
323171026
446131026
080931026
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/3024 binary64)))))))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (pow x 2) (- 1 (cos x)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 (pow x 3))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) (*.f64 x (*.f64 x x)))
(* x (- 1 (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (- 1 (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (- 1 (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (- 1 (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))

eval362.0ms (3.6%)

Compiler

Compiled 64792 to 3592 computations (94.5% saved)

prune532.0ms (5.3%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New2817172834
Fresh5611
Picked145
Done011
Total2823282851
Accuracy
99.9%
Counts
2851 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.1%
(fma.f64 (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
45.0%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
26.6%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) x) (*.f64 x x))
53.1%
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) x) x) x)
▶51.9%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x)) x)
▶26.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x) x)
53.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x)
51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓53.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
28.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
51.8%
(/.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x)))) x) (*.f64 x x))
51.9%
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
53.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓52.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.0%
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x))))) x)
53.5%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) x)
51.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))))
✓53.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
▶77.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
▶52.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
▶48.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
44.6%
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
15.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓50.0%
#s(literal 1/2 binary64)
Compiler

Compiled 774 to 446 computations (42.4% saved)

simplify194.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x) x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
✓cost-diff384
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
✓cost-diff0
(-.f64 (*.f64 x (cos.f64 x)) x)
✓cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x)) x)
✓cost-diff128
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64))
✓cost-diff256
(/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))
✓cost-diff0
(/.f64 (cos.f64 x) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff256
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
Rules
2394×*-lowering-*.f32
2394×*-lowering-*.f64
2308×/-lowering-/.f32
2308×/-lowering-/.f64
1764×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030174
180163
2213150
3660134
42570134
56187134
08655134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 2 (* x (* x 1/6))))
1
(+ 2 (* x (* x 1/6)))
2
(* x (* x 1/6))
x
(* x 1/6)
1/6
(+ 1/2 (* -1/24 (* x x)))
1/2
(* -1/24 (* x x))
-1/24
(* x x)
x
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/ 1 (* x x))
1
(* x x)
x
(/ (cos x) (* x x))
(cos x)
(/ (/ (/ (- (* x (cos x)) x) -1) (* x x)) x)
(/ (/ (- (* x (cos x)) x) -1) (* x x))
(/ (- (* x (cos x)) x) -1)
(- (* x (cos x)) x)
(* x (cos x))
x
(cos x)
-1
(* x x)
(/ (/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x) x)
(/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x)
(/ 1 (/ (* x x) (* x (* x (- 1 (cos x))))))
1
(/ (* x x) (* x (* x (- 1 (cos x)))))
(* x x)
x
(* x (* x (- 1 (cos x))))
(* x (- 1 (cos x)))
(- 1 (cos x))
(cos x)
Outputs
(/ 1 (+ 2 (* x (* x 1/6))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 2 (* x (* x 1/6)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(* x (* x 1/6))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/2 (* -1/24 (* x x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))
1/2
#s(literal 1/2 binary64)
(* -1/24 (* x x))
(*.f64 x (*.f64 x #s(literal -1/24 binary64)))
-1/24
#s(literal -1/24 binary64)
(* x x)
(*.f64 x x)
x
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ (cos x) (* x x))
(/.f64 (cos.f64 x) (*.f64 x x))
(cos x)
(cos.f64 x)
(/ (/ (/ (- (* x (cos x)) x) -1) (* x x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (/ (- (* x (cos x)) x) -1) (* x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- (* x (cos x)) x) -1)
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(- (* x (cos x)) x)
(*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(* x (cos x))
(*.f64 x (cos.f64 x))
x
(cos x)
(cos.f64 x)
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
(/ (/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 (/ (* x x) (* x (* x (- 1 (cos x))))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(/ (* x x) (* x (* x (- 1 (cos x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x x)
(*.f64 x x)
x
(* x (* x (- 1 (cos x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* x (- 1 (cos x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

localize393.0ms (3.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
✓accuracy78.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x)
✓accuracy76.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy45.2%
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
✓accuracy99.9%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x)) x)
✓accuracy99.8%
(*.f64 x (cos.f64 x))
✓accuracy83.8%
(-.f64 (*.f64 x (cos.f64 x)) x)
✓accuracy45.4%
(/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.2%
(/.f64 (cos.f64 x) (*.f64 x x))
✓accuracy53.9%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
Results
188.0ms69×2valid
62.0ms133×0valid
37.0ms39×1valid
37.0ms15×3valid
Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-mult: 47.0ms (30.6% of total)
ival-cos: 33.0ms (21.5% of total)
ival-div: 32.0ms (20.8% of total)
backward-pass: 18.0ms (11.7% of total)
...c/correct-round.rkt:119:19: 12.0ms (7.8% of total)
ival-sub: 7.0ms (4.6% of total)
ival-add: 5.0ms (3.3% of total)
const: 1.0ms (0.7% of total)

series13.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ 1 (+ 2 (* x (* x 1/6))))>
#<alt (+ 2 (* x (* x 1/6)))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (+ 1/2 (* -1/24 (* x x)))>
#<alt (* -1/24 (* x x))>
#<alt (* x x)>
#<alt (- (/ 1 (* x x)) (/ (cos x) (* x x)))>
#<alt (/ 1 (* x x))>
#<alt (/ (cos x) (* x x))>
#<alt (/ (/ (- (* x (cos x)) x) -1) (* x x))>
#<alt (/ (- (* x (cos x)) x) -1)>
#<alt (/ (/ (/ (- (* x (cos x)) x) -1) (* x x)) x)>
#<alt (- (* x (cos x)) x)>
#<alt (/ (* x x) (* x (* x (- 1 (cos x)))))>
#<alt (/ 1 (/ (* x x) (* x (* x (- 1 (cos x))))))>
#<alt (/ (/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x) x)>
#<alt (/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x)>
#<alt (cos x)>
#<alt (* x (cos x))>
#<alt (- 1 (cos x))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (/ (cos x) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* -1 (* x (- (cos x) 1)))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt (* x (+ 1 (* -1 (cos x))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))>
#<alt (* x (- (cos x) 1))>
#<alt (* x (- (cos x) 1))>
#<alt (* x (- (cos x) 1))>
#<alt (* x (- (cos x) 1))>
#<alt (* -1 (* x (+ 1 (* -1 (cos x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (cos x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (cos x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (cos x)))))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 2))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (/ 1 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* x (cos x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ 1 (+ 2 (* x (* x 1/6))))
0.0ms
x
@inf
(/ (/ (- (* x (cos x)) x) -1) (* x x))
0.0ms
x
@-inf
(/ (/ (- (* x (cos x)) x) -1) (* x x))
0.0ms
x
@inf
(/ 1 (+ 2 (* x (* x 1/6))))
0.0ms
x
@-inf
(* x 1/6)

rewrite240.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1690×*-lowering-*.f32
1690×*-lowering-*.f64
1500×/-lowering-/.f32
1500×/-lowering-/.f64
1356×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030131
1143113
295099
3631199
0838599
Stop Event
1×iter limit
1×node limit
Counts
21 → 1451
Calls
Call 1
Inputs
(/ 1 (+ 2 (* x (* x 1/6))))
(+ 2 (* x (* x 1/6)))
(* x (* x 1/6))
(* x 1/6)
(+ 1/2 (* -1/24 (* x x)))
(* -1/24 (* x x))
(* x x)
(- (/ 1 (* x x)) (/ (cos x) (* x x)))
(/ 1 (* x x))
(/ (cos x) (* x x))
(/ (/ (- (* x (cos x)) x) -1) (* x x))
(/ (- (* x (cos x)) x) -1)
(/ (/ (/ (- (* x (cos x)) x) -1) (* x x)) x)
(- (* x (cos x)) x)
(/ (* x x) (* x (* x (- 1 (cos x)))))
(/ 1 (/ (* x x) (* x (* x (- 1 (cos x))))))
(/ (/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x) x)
(/ (/ 1 (/ (* x x) (* x (* x (- 1 (cos x)))))) x)
(cos x)
(* x (cos x))
(- 1 (cos x))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64))
(+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 2 binary64))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))
(*.f64 x (*.f64 x #s(literal -1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/24 binary64)) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x) x) (/.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
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(/.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) (cos.f64 x)) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 x (cos.f64 x)) x)) (/.f64 (*.f64 x (*.f64 x x)) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify253.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4492×*-lowering-*.f32
4492×*-lowering-*.f64
3716×+-lowering-+.f64
3716×+-lowering-+.f32
1348×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461757
14201439
211811426
335381416
080711416
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(/ 2 (pow x 2))
(/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 2))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/288 binary64) (*.f64 (*.f64 x x) #s(literal -1/3456 binary64)))))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -72 binary64) (*.f64 x x)) (/.f64 #s(literal -10368 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

eval215.0ms (2.1%)

Compiler

Compiled 31949 to 3208 computations (90% saved)

prune149.0ms (1.5%)

Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New1871121883
Fresh71118
Picked235
Done055
Total1880311911
Accuracy
99.9%
Counts
1911 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.1%
(fma.f64 (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.2%
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
26.6%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
53.1%
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) x) x) x)
27.8%
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (-.f64 #s(literal 0 binary64) x)) x) x)
✓26.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x) x)
53.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x)
51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓53.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.8%
(/.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
30.0%
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
51.9%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) x)
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶53.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓52.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶53.5%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) x)
▶31.9%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
51.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))))
✓53.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
77.9%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)))
▶77.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
31.9%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓52.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓48.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
44.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
▶15.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓50.0%
#s(literal 1/2 binary64)
Compiler

Compiled 750 to 462 computations (38.4% saved)

simplify181.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff640
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓cost-diff256
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
✓cost-diff0
(/.f64 (cos.f64 x) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓cost-diff128
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Rules
1794×*-lowering-*.f32
1794×*-lowering-*.f64
1174×fma-define
1102×sum3-define
994×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027132
166125
2174120
3675117
42533117
55038117
08149117
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (+ 2 (/ 1/6 (/ 1 (* x x)))))
1
(+ 2 (/ 1/6 (/ 1 (* x x))))
2
(/ 1/6 (/ 1 (* x x)))
1/6
(/ 1 (* x x))
(* x x)
x
(/ 6 (* x x))
6
(* x x)
x
(/ (- (/ 1 x) (/ (cos x) x)) x)
(- (/ 1 x) (/ (cos x) x))
(/ 1 x)
1
x
(/ (cos x) x)
(cos x)
(/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)
(+ (/ 1 x) (* (/ 1 x) (- 0 (cos x))))
(/ 1 x)
1
x
(* (/ 1 x) (- 0 (cos x)))
(- 0 (cos x))
0
(cos x)
(* (/ 1 (* x (* x (* x x)))) (* (* x x) (- 1 (cos x))))
(/ 1 (* x (* x (* x x))))
1
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (* x x) (- 1 (cos x)))
(- 1 (cos x))
(cos x)
Outputs
(/ 1 (+ 2 (/ 1/6 (/ 1 (* x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 2 (/ 1/6 (/ 1 (* x x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ 1/6 (/ 1 (* x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(/ 6 (* x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(* x x)
(*.f64 x x)
x
(/ (- (/ 1 x) (/ (cos x) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- (/ 1 x) (/ (cos x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
(/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(+ (/ 1 x) (* (/ 1 x) (- 0 (cos x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (/ 1 x) (- 0 (cos x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) x))
(- 0 (cos x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
0
#s(literal 0 binary64)
(cos x)
(cos.f64 x)
(* (/ 1 (* x (* x (* x x)))) (* (* x x) (- 1 (cos x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ 1 (* x (* x (* x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (* x x) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

localize332.0ms (3.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.4%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓accuracy76.4%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy28.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) x)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
✓accuracy54.1%
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
✓accuracy99.8%
(/.f64 (cos.f64 x) x)
✓accuracy54.1%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.1%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.5%
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
Results
151.0ms68×2valid
58.0ms134×0valid
40.0ms39×1valid
33.0ms15×3valid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-cos: 32.0ms (28.6% of total)
ival-div: 28.0ms (25% of total)
backward-pass: 17.0ms (15.2% of total)
ival-mult: 16.0ms (14.3% of total)
ival-sub: 7.0ms (6.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (6.2% of total)
ival-add: 5.0ms (4.5% of total)
const: 1.0ms (0.9% of total)

series33.0ms (0.3%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ 1/6 (/ 1 (* x x)))>
#<alt (/ 1 (+ 2 (/ 1/6 (/ 1 (* x x)))))>
#<alt (+ 2 (/ 1/6 (/ 1 (* x x))))>
#<alt (/ 1 (* x x))>
#<alt (/ 6 (* x x))>
#<alt (* x x)>
#<alt (- (/ 1 x) (/ (cos x) x))>
#<alt (/ (- (/ 1 x) (/ (cos x) x)) x)>
#<alt (/ 1 x)>
#<alt (/ (cos x) x)>
#<alt (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x))))>
#<alt (* (/ 1 x) (- 0 (cos x)))>
#<alt (/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)>
#<alt (* (/ 1 (* x (* x (* x x)))) (* (* x x) (- 1 (cos x))))>
#<alt (/ 1 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (cos x)>
#<alt (- 1 (cos x))>
#<alt (* (* x x) (- 1 (cos x)))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (- 1 (cos x)) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (/ (cos x) x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (/ (+ 1 (* -1 (cos x))) x)>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (* -1 (/ (- (cos x) 1) x))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (pow x 2)) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt (* -1 (/ (cos x) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (cos x))) (pow x 2))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt (* -1 (/ (- (cos x) 1) (pow x 2)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ (- 1 (cos x)) (pow x 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (* 1/2 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
#<alt (* (pow x 2) (- 1 (cos x)))>
Calls

60 calls:

TimeVariablePointExpression
17.0ms
x
@inf
(- (/ 1 x) (/ (cos x) x))
5.0ms
x
@-inf
(- (/ 1 x) (/ (cos x) x))
3.0ms
x
@-inf
(/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)
1.0ms
x
@-inf
(/ (- (/ 1 x) (/ (cos x) x)) x)
0.0ms
x
@inf
(/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)

rewrite267.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1666×*-lowering-*.f32
1666×*-lowering-*.f64
1436×fnmadd-define
1424×/-lowering-/.f32
1424×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027101
112690
270290
3463990
0804890
Stop Event
1×iter limit
1×node limit
Counts
20 → 1533
Calls
Call 1
Inputs
(/ 1/6 (/ 1 (* x x)))
(/ 1 (+ 2 (/ 1/6 (/ 1 (* x x)))))
(+ 2 (/ 1/6 (/ 1 (* x x))))
(/ 1 (* x x))
(/ 6 (* x x))
(* x x)
(- (/ 1 x) (/ (cos x) x))
(/ (- (/ 1 x) (/ (cos x) x)) x)
(/ 1 x)
(/ (cos x) x)
(+ (/ 1 x) (* (/ 1 x) (- 0 (cos x))))
(* (/ 1 x) (- 0 (cos x)))
(/ (+ (/ 1 x) (* (/ 1 x) (- 0 (cos x)))) x)
(* (/ 1 (* x (* x (* x x)))) (* (* x x) (- 1 (cos x))))
(/ 1 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(cos x)
(- 1 (cos x))
(* (* x x) (- 1 (cos x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(pow.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (/.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 (cos.f64 x) x) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (*.f64 x (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (cos.f64 x) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x)) x) (cos.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (*.f64 x x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(*.f64 (-.f64 (*.f64 x (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(+.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 x x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))

simplify223.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2470×*-lowering-*.f32
2470×*-lowering-*.f64
2188×fma-lowering-fma.f32
2188×fma-lowering-fma.f64
1858×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171485
13251255
28391253
321651247
461821247
082521247
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (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)
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64))))
(+ 1/2 (* (pow x 2) (- (* 1/288 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/288 (* -1/3456 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/288 binary64) (*.f64 (*.f64 x x) #s(literal -1/3456 binary64))))))))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 6 (/ 864 (pow x 4))) (+ (* 72 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 864 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -72 binary64) (*.f64 x x)) (/.f64 #s(literal -10368 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
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(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 (pow x 4))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

eval252.0ms (2.5%)

Compiler

Compiled 35253 to 3019 computations (91.4% saved)

prune231.0ms (2.3%)

Pruning

43 alts after pruning (33 fresh and 10 done)

PrunedKeptTotal
New2000212021
Fresh61218
Picked325
Done088
Total2009432052
Accuracy
99.9%
Counts
2052 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
52.2%
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
26.6%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
53.1%
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) x) x) x)
✓26.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x) x)
53.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x)
51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓51.9%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓53.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
51.8%
(/.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
31.7%
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
31.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
✓53.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
53.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x)
✓52.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
31.9%
(/.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
31.9%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓31.9%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
31.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
51.9%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))))
✓53.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
77.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
29.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
77.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x))))))
28.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x (*.f64 x x))))))))
29.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
77.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
28.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
77.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))))
28.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)))))))
77.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)))
✓52.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓48.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
44.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
15.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
52.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
31.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
15.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
16.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))))))
52.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓50.0%
#s(literal 1/2 binary64)
Compiler

Compiled 1543 to 597 computations (61.3% saved)

regimes44.0ms (0.4%)

Counts
67 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) x) x) x)
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) x) x)
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (-.f64 #s(literal 0 binary64) x)) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
(fma.f64 (/.f64 (*.f64 x (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 x))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) x) (*.f64 x (cos.f64 x)))) x) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) x (*.f64 x (cos.f64 x)))) (*.f64 x x)) x)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x))))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (cos.f64 x))))) x)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

23.0ms
x
17.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%2x
99.1%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
77.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x) x)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
77.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64))
Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 6 binary64) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
77.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
50.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch38.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
7.66654613300674e-5
61158.90904428519
Results
32.0ms144×0valid
Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (39.1% of total)
ival-sub: 1.0ms (19.6% of total)
ival-div: 1.0ms (19.6% of total)
ival-mult: 1.0ms (19.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
7.66654613300674e-5
61158.90904428519
Results
12.0ms144×0valid
Compiler

Compiled 184 to 135 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (38.9% of total)
ival-sub: 1.0ms (19.4% of total)
ival-div: 1.0ms (19.4% of total)
ival-mult: 1.0ms (19.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
7.66654613300674e-5
61158.90904428519
Results
12.0ms144×0valid
Compiler

Compiled 157 to 117 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 5.0ms (63.2% of total)
ival-sub: 1.0ms (12.6% of total)
ival-div: 1.0ms (12.6% of total)
ival-mult: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
7.66654613300674e-5
61158.90904428519
Results
14.0ms144×0valid
Compiler

Compiled 103 to 81 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 5.0ms (63% of total)
ival-sub: 1.0ms (12.6% of total)
ival-div: 1.0ms (12.6% of total)
ival-mult: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03074
14074
24474
34674
44774
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
Outputs
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 3170534137668829/576460752303423488 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 3602879701896397/1125899906842624 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)

soundness1.5s (15.3%)

Rules
4492×*-lowering-*.f32
4492×*-lowering-*.f64
3872×+-lowering-+.f64
3872×+-lowering-+.f32
3716×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12415
29915
356015
4407115
0801515
042278
1113224
2316224
3818224
41922224
52930224
63504224
74824224
08647224
01461757
14201439
211811426
335381416
080711416
0891238
12751046
27861028
323171026
446131026
080931026
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 187 to 111 computations (40.6% saved)

preprocess61.0ms (0.6%)

Compiler

Compiled 208 to 100 computations (51.9% saved)

end0.0ms (0%)

Profiling

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