Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze237.0ms (2.7%)

Memory
37.8MiB live, 311.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.4s (16.3%)

Memory
-158.4MiB live, 1 901.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-sin: 586.0ms (66.3% of total)
ival-mult: 144.0ms (16.3% of total)
ival-div: 133.0ms (15% of total)
exact: 11.0ms (1.2% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain203.0ms (2.4%)

Memory
-10.4MiB live, 280.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-1(8.967091669560726e-159)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0131(5.505797972244987e+161)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
00-0-(sin.f64 x)
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x #s(literal 1/2 binary64)))sensitivity1310
/.f64(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))u/n640
↳(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))underflow64
Confusion
Predicted +Predicted -
+641
-13160
Precision
0.3282051282051282
Recall
0.9846153846153847
Confusion?
Predicted +Predicted MaybePredicted -
+6401
-131060
Precision?
0.3282051282051282
Recall?
0.9846153846153847
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 232 to 91 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 22.0ms (56.4% of total)
ival-mult: 9.0ms (23.1% of total)
ival-div: 7.0ms (17.9% of total)
ival-true: 1.0ms (2.6% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess54.0ms (0.6%)

Memory
7.2MiB live, 42.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
13529
29528
329628
490028
5174728
6184828
7187828
8190628
9191828
10199028
11242528
01114
01914
12614
23614
34514
44814
04814
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.8%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff704
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01945
12645
23645
34545
44845
04845
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize64.0ms (0.7%)

Memory
-1.4MiB live, 46.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.240566259768442
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.359375
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy15.34313138621382
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Samples
55.0ms256×0valid
Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (57.9% of total)
ival-div: 4.0ms (21.1% of total)
ival-mult: 4.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-30.6MiB live, 6.2MiB allocated
Counts
5 → 20
Calls
Call 1
Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@0
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
2.0ms
x
@-inf
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
2.0ms
x
@inf
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

simplify291.0ms (3.4%)

Memory
14.8MiB live, 167.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite195.0ms (2.2%)

Memory
4.7MiB live, 171.4MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 286
Calls
Call 1
Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
Outputs
#s(literal 8/3 binary64)
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
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(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -8/3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 8/3 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -8/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (sin.f64 x) #s(literal 0 binary64))

eval76.0ms (0.9%)

Memory
2.7MiB live, 80.7MiB allocated
Compiler

Compiled 5 007 to 763 computations (84.8% saved)

prune87.0ms (1%)

Memory
1.3MiB live, 44.2MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New27431305
Fresh000
Picked101
Done000
Total27531306
Accuracy
100.0%
Counts
306 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
55.0%
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.9%
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
54.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))) (sin.f64 x))
54.8%
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
54.8%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
75.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
55.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
66.9%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
25.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
75.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
25.1%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
26.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
25.9%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
▶55.0%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
54.9%
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
55.0%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
75.8%
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
▶55.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
▶99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
99.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
54.9%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
55.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶75.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
▶48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 124 to 812 computations (27.8% saved)

simplify187.0ms (2.2%)

Memory
2.5MiB live, 41.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
cost-diff7168
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff384
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
cost-diff576
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039180
060167
193161
2134161
3197161
4278161
5448161
6902161
71874161
82671161
94071161
104940161
115362161
125442161
135489161
145523161
156012161
166331161
176571161
186653161
196657161
206657161
216767161
227519161
08001161
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(sin.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(sin.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize305.0ms (3.5%)

Memory
-9.5MiB live, 146.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
accuracy0.224941259768442
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.38671875
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy15.34825382505347
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
accuracy0.00390625
(cos.f64 x)
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
accuracy13.311203607016948
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy15.302397532645664
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
accuracy0.00390625
(cos.f64 x)
accuracy0.3828125
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy13.320491809205604
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.2730638527273
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy0.3359375
(*.f64 #s(literal 2/3 binary64) x)
accuracy32.66561478049457
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0
(sin.f64 x)
accuracy0.09765625
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy0.16796875
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy0.1796875
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Samples
91.0ms138×0valid
51.0ms79×2valid
47.0ms30×1valid
8.0ms9×3valid
Compiler

Compiled 357 to 77 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
const: 51.0ms (29.9% of total)
ival-div: 49.0ms (28.7% of total)
ival-cos: 21.0ms (12.3% of total)
ival-sin: 17.0ms (10% of total)
ival-mult: 16.0ms (9.4% of total)
adjust: 7.0ms (4.1% of total)
ival-pow2: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-add: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
18 → 57
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(sin.f64 x)
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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
(+ 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)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(cos x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(sin x)
(+ 1/2 (* -1/2 (cos x)))
(/ 8/3 (sin x))
(pow (sin (* 1/2 x)) 2)
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (sin x) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2))
4.0ms
x
@-inf
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (sin x) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2))
3.0ms
x
@0
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (sin x) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2)) (/ 8/3 (sin x)) (pow (sin (* 1/2 x)) 2))

simplify198.0ms (2.3%)

Memory
13.0MiB live, 165.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0223605
1602605
21472599
32728599
44700599
54974599
65362599
76257599
87979599
08005530
Stop Event
1×iter limit
1×node limit
Counts
57 → 56
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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
(+ 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)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(cos x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(sin x)
(+ 1/2 (* -1/2 (cos x)))
(/ 8/3 (sin x))
(pow (sin (* 1/2 x)) 2)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sin x)
(sin.f64 x)
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))

rewrite219.0ms (2.5%)

Memory
-4.2MiB live, 158.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039146
060131
1171131
2852131
37426131
08031131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 000
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(sin.f64 x)
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
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eval340.0ms (3.9%)

Memory
5.9MiB live, 198.9MiB allocated
Compiler

Compiled 20 155 to 2 922 computations (85.5% saved)

prune161.0ms (1.9%)

Memory
-5.9MiB live, 78.1MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1 001151 016
Fresh151126
Picked415
Done000
Total1 020271 047
Accuracy
100.0%
Counts
1 047 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
75.9%
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
▶55.0%
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.8%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
75.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
55.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
26.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
54.9%
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
▶49.9%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
48.7%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
99.4%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 4/3 binary64))
▶99.1%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
55.0%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
54.9%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
75.7%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
55.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
▶99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
48.9%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
53.4%
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
▶48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 816 to 636 computations (22.1% saved)

simplify61.0ms (0.7%)

Memory
-20.4MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
cost-diff0
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
cost-diff0
(+.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
cost-diff0
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047233
072233
1107227
2163227
3286227
4521227
5710227
6716227
7717227
0717227
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal -1/7560 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
#s(literal 4 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal -1/7560 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
#s(literal 4 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)

localize266.0ms (3.1%)

Memory
4.2MiB live, 236.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 x)
accuracy0.13671875
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
accuracy13.311203607016948
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy15.27613450213584
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy0.00390625
(cos.f64 x)
accuracy0.16634750976844204
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy0.29714015519701875
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy0.3828125
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
accuracy0.36023385487836124
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
accuracy1.8213531029886667
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
accuracy32.30067020887183
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.21484375
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy0.3254257529989573
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy32.5205843073965
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.00390625
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.3828125
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Samples
108.0ms79×2valid
80.0ms138×0valid
23.0ms30×1valid
10.0ms9×3valid
Compiler

Compiled 443 to 97 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-cos: 38.0ms (23.2% of total)
ival-div: 36.0ms (22% of total)
ival-mult: 25.0ms (15.3% of total)
const: 24.0ms (14.7% of total)
adjust: 12.0ms (7.3% of total)
ival-add: 11.0ms (6.7% of total)
ival-sin: 10.0ms (6.1% of total)
ival-tan: 6.0ms (3.7% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
20 → 69
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
4
(+ 4 (* -1/3 (pow x 2)))
(+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))
(+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
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)))
-1/180
(- (* -1/7560 (pow x 2)) 1/180)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(* -1/7560 (pow x 5))
(* -1 (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(* -1/7560 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(* (pow x 6) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(* -1/7560 (pow x 2))
(* -1 (* (pow x 2) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) x) (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (+ (* -1/2 (cos x)) 1/2) (cos x) (+ (* -1/7560 (* x x)) -1/180))
5.0ms
x
@inf
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) x) (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (+ (* -1/2 (cos x)) 1/2) (cos x) (+ (* -1/7560 (* x x)) -1/180))
4.0ms
x
@-inf
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) x) (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (+ (* -1/2 (cos x)) 1/2) (cos x) (+ (* -1/7560 (* x x)) -1/180))

simplify248.0ms (2.9%)

Memory
-25.8MiB live, 227.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0203712
1571706
21565699
34683695
08270631
Stop Event
1×iter limit
1×node limit
Counts
69 → 68
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
4
(+ 4 (* -1/3 (pow x 2)))
(+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))
(+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
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)))
-1/180
(- (* -1/7560 (pow x 2)) 1/180)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(* -1/7560 (pow x 5))
(* -1 (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(* -1/7560 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(* (pow x 6) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(+ 1/2 (* -1/2 (cos x)))
(cos x)
(* -1/7560 (pow x 2))
(* -1 (* (pow x 2) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
4
#s(literal 4 binary64)
(+ 4 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))
(fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/4 (pow x 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x)
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* -1/7560 (pow x 2)) 1/180)
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1/7560 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/7560 binary64))
(* -1 (* (pow x 5) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x) #s(literal 1/7560 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/7560 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1/7560 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7560 binary64))
(* -1 (* (pow x 6) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1/7560 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7560))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x) #s(literal 1/7560 binary64)))
(* (pow x 6) (- (* 4 (/ 1 (pow x 6))) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/7560 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(sin x)
(sin.f64 x)
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
(* -1/7560 (pow x 2))
(*.f64 #s(literal -1/7560 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1/7560 (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(* -1 (* (pow x 5) (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/7560 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/7560 (+ (/ 1/3 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))) (* 4 (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/7560 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))

rewrite389.0ms (4.5%)

Memory
-12.2MiB live, 264.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047196
072190
1238187
21405187
08511187
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 683
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64))
Outputs
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
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eval148.0ms (1.7%)

Memory
21.4MiB live, 176.7MiB allocated
Compiler

Compiled 21 649 to 2 855 computations (86.8% saved)

prune35.0ms (0.4%)

Memory
4.6MiB live, 79.9MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New70012712
Fresh111021
Picked055
Done011
Total71128739
Accuracy
100.0%
Counts
739 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
75.9%
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
✓55.0%
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
75.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.0%
(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
49.4%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
▶49.0%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
✓49.9%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
▶49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
48.7%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
49.9%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x))))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
▶99.4%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
✓99.1%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
▶99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
▶55.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
99.0%
(*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
94.5%
(*.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 4/3 binary64))
✓99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
48.9%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
✓48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
55.0%
#s(approx (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
Compiler

Compiled 870 to 664 computations (23.7% saved)

simplify203.0ms (2.3%)

Memory
17.0MiB live, 55.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff320
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
cost-diff6976
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
cost-diff0
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) x)
cost-diff0
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
cost-diff0
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff1088
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038186
058172
182172
2116169
3188163
4321163
5640163
61183163
71981163
82710163
93161163
103495163
113674163
123701163
133708163
143717163
153852163
163920163
173928163
183928163
193932163
203972163
214230163
224234163
234235163
04235161
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(literal -4/3 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal -1 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
#s(literal 3/8 binary64)
(sin.f64 x)
Outputs
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal -4/3 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(literal 4 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
(sin.f64 x)

localize381.0ms (4.4%)

Memory
-26.1MiB live, 339.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.21484375
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy0.265625
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy13.320491809205604
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.342337523597106
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
accuracy0.00390625
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.13671875
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.18359375
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
accuracy0.3828125
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
accuracy0.10546875
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
accuracy14.44352080152053
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
accuracy32.148921709949214
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
accuracy0
(*.f64 #s(literal 1/4 binary64) x)
accuracy0.13671875
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
accuracy32.663259556325734
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.00390625
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.13671875
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.3828125
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Samples
252.0ms68×2valid
55.0ms138×0valid
31.0ms21×3valid
15.0ms29×1valid
Compiler

Compiled 350 to 76 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-div: 217.0ms (71.3% of total)
ival-cos: 22.0ms (7.2% of total)
ival-mult: 21.0ms (6.9% of total)
const: 12.0ms (3.9% of total)
ival-sin: 11.0ms (3.6% of total)
adjust: 8.0ms (2.6% of total)
ival-tan: 6.0ms (2% of total)
ival-add: 3.0ms (1% of total)
ival-sub: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
18 → 54
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
Outputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
4
(+ 4 (* -1/3 (pow x 2)))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) 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
(+ 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)))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(* -1/3 x)
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(* 3/8 (sin x))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ -4/3 (/ -1 (tan (* 1/2 x)))) (/ -1 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* -1/3 (* x x)) 4) x) (+ (* -1/3 (* x x)) 4) (/ -1 (/ -1 (tan (* 1/2 x)))) (* (/ -1 (/ -1 (tan (* 1/2 x)))) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (* 3/8 (sin x)))
4.0ms
x
@inf
((/ -4/3 (/ -1 (tan (* 1/2 x)))) (/ -1 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* -1/3 (* x x)) 4) x) (+ (* -1/3 (* x x)) 4) (/ -1 (/ -1 (tan (* 1/2 x)))) (* (/ -1 (/ -1 (tan (* 1/2 x)))) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (* 3/8 (sin x)))
2.0ms
x
@0
((/ -4/3 (/ -1 (tan (* 1/2 x)))) (/ -1 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/ (+ (* -1/3 (* x x)) 4) x) (+ (* -1/3 (* x x)) 4) (/ -1 (/ -1 (tan (* 1/2 x)))) (* (/ -1 (/ -1 (tan (* 1/2 x)))) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (* 3/8 (sin x)))

simplify158.0ms (1.8%)

Memory
7.8MiB live, 169.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0207557
1556557
21392547
33189545
45187535
56602535
08062475
Stop Event
1×iter limit
1×node limit
Counts
54 → 54
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ -2 x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
4
(+ 4 (* -1/3 (pow x 2)))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) 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
(+ 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)))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(* -1/3 x)
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(* 3/8 (sin x))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* 1/6 (pow x 2)) 2) x)
(fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* 1/360 (pow x 2)))) 2) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/360 (* 1/15120 (pow x 2)))))) 2) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
4
#s(literal 4 binary64)
(+ 4 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/270 binary64) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/11340 binary64) (*.f64 x x) #s(literal 7/270 binary64)) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 3/8 x)
(*.f64 #s(literal 3/8 binary64) x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/320 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/13440 binary64) (*.f64 x x) #s(literal 1/320 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(* -1 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 4 (/ 1 (pow x 2))) 1/3))
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))
(* -1/3 (pow x 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(* -1 (* x (- 1/3 (* 4 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))

rewrite166.0ms (1.9%)

Memory
0.2MiB live, 193.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038149
058135
1185135
2982124
08347124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 753
Calls
Call 1
Inputs
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64))
(*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))

eval119.0ms (1.4%)

Memory
8.3MiB live, 237.0MiB allocated
Compiler

Compiled 16 599 to 2 459 computations (85.2% saved)

prune45.0ms (0.5%)

Memory
-5.5MiB live, 116.7MiB allocated
Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New78617803
Fresh8917
Picked145
Done246
Total79734831
Accuracy
100.0%
Counts
831 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
55.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
99.0%
(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
99.8%
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
49.4%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
✓49.0%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
49.0%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
49.1%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
49.1%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
✓49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
48.7%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
2.6%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* -1/3 (* x x)) 4) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))))
2.7%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
48.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
49.8%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)) #s(literal 3/8 binary64)))
✓99.4%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
49.9%
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
✓99.1%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
✓99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
49.8%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))) #s(literal -8/3 binary64))
49.8%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 4/3 binary64))
48.7%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
54.9%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 3/8 binary64)))
✓99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
48.9%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
✓48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
55.0%
#s(approx (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
Compiler

Compiled 2 036 to 879 computations (56.8% saved)

regimes70.0ms (0.8%)

Memory
-19.1MiB live, 105.7MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* -1/3 (* x x)) 4) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))) #s(literal -8/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#s(approx (/ 8/3 (/ (sin x) (+ (* -1/2 (cos x)) 1/2))) (/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
Outputs
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
Calls

2 calls:

46.0ms
x
22.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.2%)

Memory
-2.4MiB live, 35.7MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* -1/3 (* x x)) 4) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))) #s(literal -8/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Calls

2 calls:

9.0ms
x
8.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* -1/3 (* x x)) 4) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))) #s(literal -8/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/7560 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64))))) x)))
Outputs
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
Calls

2 calls:

8.0ms
x
7.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
49.9%1x
49.9%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.2%)

Memory
-10.1MiB live, 26.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* -1/3 (* x x)) 4) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x))) #s(literal -8/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 4 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
Outputs
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
Calls

2 calls:

9.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
49.8%1x
49.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.2%)

Memory
-15.8MiB live, 25.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (/.f64 #s(literal -2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
Calls

2 calls:

9.0ms
x
4.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
49.1%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
49.1%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/7560 (* x x)) -1/180) (* x x)) -1/3) (* x x)) 4) #s(literal 4 binary64)) x)))
Outputs
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
49.0%1x
49.0%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.1%)

Memory
-20.2MiB live, 18.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) #s(approx (/ (+ (* -1/3 (* x x)) 4) x) (*.f64 #s(literal -1/3 binary64) x))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
Calls

2 calls:

4.0ms
x
2.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
48.9%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
48.9%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

1.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
48.7%1x
48.7%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify26.0ms (0.3%)

Memory
14.7MiB live, 53.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066140
178140
284140
389140
492140
593140
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 #s(literal -3/4 binary64)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -4/3 binary64) #s(approx (/ -1 (tan (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/15120 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* -1/2 (cos x)) 1/2)) (fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness2.0s (23%)

Memory
-28.7MiB live, 941.8MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0203712
1571706
21565699
34683695
08270631
039146
060131
1171131
2852131
37426131
08031131
01134
01934
13428
211528
362824
0491524
0207557
1556557
21392547
33189545
45187535
56602535
08062475
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
038149
058135
1185135
2982124
08347124
0223605
1602605
21472599
32728599
44700599
54974599
65362599
76257599
87979599
08005530
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 373 to 222 computations (40.5% saved)

preprocess175.0ms (2%)

Memory
10.4MiB live, 203.4MiB allocated
Remove

(negabs x)

Compiler

Compiled 398 to 216 computations (45.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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