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

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze244.0ms (2.9%)

Memory
-23.5MiB live, 292.3MiB allocated
Algorithm
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)

sample1.6s (18.8%)

Memory
37.8MiB live, 1 629.0MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-sin: 487.0ms (57.5% of total)
ival-mult: 199.0ms (23.5% of total)
ival-div: 141.0ms (16.7% of total)
exact: 10.0ms (1.2% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain553.0ms (6.5%)

Memory
1.1MiB live, 207.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
870-2(3.343452784637576e-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))))
0110(6.753701865913536e+254)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)))sensitivity1100
/.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/n850
(*.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))))underflow85
Confusion
Predicted +Predicted -
+852
-11059
Precision
0.4358974358974359
Recall
0.9770114942528736
Confusion?
Predicted +Predicted MaybePredicted -
+8502
-110059
Precision?
0.4358974358974359
Recall?
0.9770114942528736
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 232 to 91 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-sin: 33.0ms (65.2% of total)
ival-mult: 9.0ms (17.8% of total)
ival-div: 7.0ms (13.8% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess84.0ms (1%)

Memory
-24.2MiB live, 52.1MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(/.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
1.8MiB live, 1.8MiB allocated
Algorithm
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
iter limit
saturated
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)

localize34.0ms (0.4%)

Memory
22.3MiB live, 22.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.213222509768442
(*.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))))
accuracy0.39453125
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy20.205278799264867
(/.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
25.0ms256×0valid
Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 9.0ms (50.9% of total)
ival-div: 4.0ms (22.6% of total)
ival-mult: 4.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB 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
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))
1.0ms
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))

simplify226.0ms (2.7%)

Memory
-1.9MiB live, 150.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
Stop Event
iter limit
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)

rewrite175.0ms (2.1%)

Memory
-4.4MiB live, 126.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
Stop Event
iter limit
iter limit
node limit
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))

eval62.0ms (0.7%)

Memory
-3.0MiB live, 71.3MiB allocated
Compiler

Compiled 5 007 to 763 computations (84.8% saved)

prune61.0ms (0.7%)

Memory
1.9MiB live, 46.6MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New28025305
Fresh000
Picked101
Done000
Total28125306
Accuracy
100.0%
Counts
306 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(/.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)))
45.9%
(/.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))
45.9%
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
45.9%
(/.f64 (/.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)))) (sin.f64 x))
45.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 2 binary64))
46.0%
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
45.9%
(/.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))
68.3%
(/.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))
45.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
68.2%
(/.f64 (*.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)))) (sin.f64 x))
68.1%
(/.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))
27.1%
(/.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))
45.9%
(/.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))))
45.9%
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
45.9%
(*.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)))
68.1%
(*.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))))
45.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.1%
(*.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))))
99.6%
(*.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)))
45.9%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
45.9%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
45.9%
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
68.1%
#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))))
57.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 694 to 554 computations (20.2% saved)

simplify295.0ms (3.5%)

Memory
-19.1MiB live, 58.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff0
#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)))
cost-diff0
(/.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))
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
cost-diff7680
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
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
(*.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: 2 (0.0ms)

IterNodesCost
038203
059188
191185
2142179
3235179
4423179
5927179
61839179
72867179
83876179
94548179
105330179
115815179
125914179
135960179
146378179
156574179
166581179
176583179
186583179
196585179
206585179
216585179
226780179
237406179
08064179
Stop Event
iter limit
node limit
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 #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)
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
#s(literal 8/3 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.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)
(/.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))
#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)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(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)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)
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 (/.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 (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 #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 -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) 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)))
(/.f64 #s(literal 4/3 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)
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
#s(literal 8/3 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.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)
(/.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))
#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)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(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)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize293.0ms (3.5%)

Memory
-5.9MiB live, 232.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#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)))
accuracy0.19369125976844204
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.26953125
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy20.205278799264867
(/.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))
accuracy0.1328125
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy0.38900375976844204
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
accuracy14.154556824000577
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy20.457854993828597
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
accuracy0.234375
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy0.26171875
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy14.154556824000577
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy20.21825968797358
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
accuracy0.3671875
(*.f64 #s(literal 2/3 binary64) x)
accuracy26.984947284083702
#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)
accuracy0.0703125
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy0.1171875
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy0.15072250976844204
(*.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
96.0ms111×0valid
54.0ms32×3valid
47.0ms79×2valid
13.0ms34×1valid
Compiler

Compiled 398 to 73 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-sin: 44.0ms (35.6% of total)
ival-cos: 25.0ms (20.2% of total)
ival-mult: 19.0ms (15.4% of total)
ival-div: 13.0ms (10.5% of total)
adjust: 9.0ms (7.3% of total)
const: 7.0ms (5.7% of total)
ival-pow2: 4.0ms (3.2% of total)
ival-sub: 3.0ms (2.4% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
19 → 66
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)) (/.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 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.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))
#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)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.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))))))))
(* 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))))
(/ 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)))
(/ 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 (pow x 2))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (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))))
(* 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))))
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))))
(* 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))))
(* 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))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(* 2 (/ (sin x) (- 1 (cos x))))
(/ 2 (- 1 (cos x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
(* 3/8 (sin x))
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)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 3/8 (sin x)))
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)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 3/8 (sin x)))
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)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 2 (- 1 (cos x))) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 3/8 (sin x)))

simplify231.0ms (2.7%)

Memory
7.8MiB live, 165.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0262717
1695717
21682711
33124711
45420711
55768711
66275711
77374711
08188633
Stop Event
iter limit
node limit
Counts
66 → 65
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))))
(/ 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)))
(/ 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 (pow x 2))
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (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))))
(* 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))))
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))))
(* 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))))
(* 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))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 (sin x))
(- 1 (cos x))
(cos x)
(* 2 (/ (sin x) (- 1 (cos x))))
(/ 2 (- 1 (cos x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
(* 3/8 (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)
(* 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)
(/ 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 #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)
(/ 4 (pow x 2))
(/.f64 (/.f64 #s(literal 4 binary64) x) x)
(/ (+ 4 (* 1/3 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) x)
(/ (+ 4 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
(/ (+ 4 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/1512 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1512 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) 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)
(* 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)
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)
(* 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)
(* 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 (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))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #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)
(* 2 (/ (sin x) (- 1 (cos x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/ 2 (- 1 (cos x)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 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))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))

rewrite374.0ms (4.4%)

Memory
-3.0MiB live, 231.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038164
059146
1162146
2762139
36752139
08200139
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 202
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)) (/.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 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.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))
#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)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 x)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
Outputs
(*.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 (neg.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 (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 (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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (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 (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 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -8/3 binary64) (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 (/.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) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.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 (/.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 (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 (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)))))
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(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.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 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -8/3 binary64))
(/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 8/3 binary64))
(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)))

eval625.0ms (7.4%)

Memory
31.2MiB live, 303.9MiB allocated
Compiler

Compiled 22 256 to 3 015 computations (86.5% saved)

prune235.0ms (2.8%)

Memory
-165.1MiB live, 87.1MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 111121 123
Fresh17320
Picked415
Done000
Total1 132161 148
Accuracy
100.0%
Counts
1 148 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
45.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
68.0%
(/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
68.2%
(/.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 3/8 binary64))) (sin.f64 x))
45.9%
(/.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))))
99.3%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
58.1%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
57.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
99.3%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
68.1%
(*.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)))
45.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
46.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
61.1%
(*.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)))
57.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
99.5%
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
Compiler

Compiled 406 to 346 computations (14.8% saved)

simplify255.0ms (3%)

Memory
28.9MiB live, 102.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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-diff7552
(/.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-diff384
(*.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
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
cost-diff0
(*.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)))
cost-diff384
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
cost-diff0
(/.f64 #s(literal 4 binary64) x)
cost-diff0
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
cost-diff0
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff768
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
037149
056139
179139
2111139
3173139
4274139
5508139
61053139
72212137
83108137
94427137
105153137
115526137
125680137
135736137
145790137
156056137
166314137
176549137
186732137
197152137
207220137
217268137
227284137
237288137
247288137
257633137
08055137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
#s(literal 8/3 binary64)
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
(*.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)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 3/8 binary64)
(*.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)
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
#s(literal 8/3 binary64)
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
(*.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 (*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 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 3/8 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 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 #s(literal -4/3 binary64) (tan.f64 (*.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)

localize213.0ms (2.5%)

Memory
12.3MiB live, 253.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.38900375976844204
(/.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))))
accuracy14.143249716505322
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy20.152532205672898
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
accuracy0
(cos.f64 x)
accuracy0.34765625
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy14.154556824000577
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy20.162364724796646
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.0703125
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy0.15072250976844204
(*.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)))
accuracy24.85427361108143
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
accuracy0
(/.f64 #s(literal 4 binary64) x)
accuracy0.38900375976844204
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
accuracy26.80047336931196
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
accuracy0
(/.f64 x #s(literal 2 binary64))
accuracy0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.1328125
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Samples
77.0ms88×2valid
68.0ms111×0valid
31.0ms22×3valid
12.0ms35×1valid
Compiler

Compiled 291 to 73 computations (74.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-div: 54.0ms (33.5% of total)
ival-cos: 43.0ms (26.7% of total)
ival-sin: 21.0ms (13% of total)
ival-mult: 12.0ms (7.4% of total)
const: 10.0ms (6.2% of total)
adjust: 9.0ms (5.6% of total)
ival-tan: 5.0ms (3.1% of total)
ival-sub: 3.0ms (1.9% 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)

series17.0ms (0.2%)

Memory
-4.7MiB live, 34.4MiB allocated
Counts
18 → 54
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 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)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.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))
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))))))))
(/ 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)
(* 4/3 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)))))))
(* 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))))
(* 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)))
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))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2 (/ (sin x) (- 1 (cos x))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 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)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 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))
4.0ms
x
@-inf
((/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 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))
2.0ms
x
@0
((/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (/ x 2) (/ 8/3 (* (/ 2 (- 1 (cos x))) (sin x))) (* (/ 2 (- 1 (cos x))) (sin x)) (/ 4 x) (/ (sin (* x 1/2)) 3/8) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (- 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))

simplify163.0ms (1.9%)

Memory
-20.7MiB live, 171.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208576
1566576
21367570
32540570
44524570
54792570
65191570
76047570
87616570
08016507
Stop Event
iter limit
node limit
Counts
54 → 53
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))))))))
(/ 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)
(* 4/3 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)))))))
(* 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))))
(* 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)))
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))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2 (/ (sin x) (- 1 (cos x))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 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)))
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)
(/ 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)
(* 4/3 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))
(* 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)
(* 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))
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)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (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)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 2 (/ (sin x) (- 1 (cos x))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 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)))
(/ (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))
(- 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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(sin x)
(sin.f64 x)
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))

rewrite253.0ms (3%)

Memory
14.8MiB live, 337.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037126
056120
1175118
2854110
37227110
08701110
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 304
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
#s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 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)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.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))
Outputs
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3/4 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)) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3/4 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 #s(literal 4/3 binary64) (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 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 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
(*.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -4/3 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (sin.f64 x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -3/4 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -4/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
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eval169.0ms (2%)

Memory
17.3MiB live, 284.9MiB allocated
Compiler

Compiled 20 051 to 3 131 computations (84.4% saved)

prune29.0ms (0.3%)

Memory
9.0MiB live, 86.2MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 055121 067
Fresh8210
Picked415
Done011
Total1 067161 083
Accuracy
100.0%
Counts
1 083 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))
99.6%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/4 binary64))
45.9%
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -4/3 binary64)) (sin.f64 x))
99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3/4 binary64)))
68.2%
(/.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 3/8 binary64))) (sin.f64 x))
57.8%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
58.1%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
57.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
57.4%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3/4 binary64))))
57.8%
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
57.5%
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
57.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 423 to 345 computations (18.4% saved)

simplify30.0ms (0.4%)

Memory
-46.4MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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 3/4 binary64))
cost-diff6592
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
cost-diff0
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff0
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
cost-diff0
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037175
057173
175167
299167
3107167
4111167
0111167
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
#s(literal -3/4 binary64)
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 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 3/4 binary64)
Outputs
(/.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 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.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)
#s(literal 3/4 binary64)
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 3/4 binary64)
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
#s(literal 1 binary64)
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
#s(literal -3/4 binary64)
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(tan.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)
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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))
(cos.f64 x)
#s(literal 1 binary64)
#s(literal 3/4 binary64)

localize113.0ms (1.3%)

Memory
9.9MiB live, 164.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.1328125
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))
accuracy0.1484375
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy0.3006429369775637
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy0
(*.f64 x #s(literal -1/2 binary64))
accuracy0
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
accuracy0.09765625
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
accuracy0.26171875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
accuracy0.08984375
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.15072250976844204
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
accuracy24.85427361108143
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
accuracy27.10624133480879
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.1328125
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
accuracy26.98479475428951
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.1328125
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Samples
89.0ms256×0valid
Compiler

Compiled 315 to 73 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-tan: 26.0ms (37.1% of total)
ival-div: 14.0ms (20% of total)
ival-mult: 10.0ms (14.3% of total)
ival-sin: 9.0ms (12.8% of total)
ival-cos: 4.0ms (5.7% of total)
const: 4.0ms (5.7% of total)
ival-add: 2.0ms (2.9% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
20 → 56
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #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 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 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 3/4 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(cos.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))))))))
(* 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))))))))
1/2
(+ 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)))))))
(* 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 (+ 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))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* -1/2 x)
(* x (- (* -1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))
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)))
(+ 1/2 (* -1/48 (pow x 2)))
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)))
(* 4/3 (/ (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)))
(/ (sin (* 1/2 x)) (sin x))
(* 8/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -3/4 (/ (cos (* -1/2 x)) (sin (* -1/2 x))))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))
(cos x)
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (* 1/2 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (/ 1 (/ -3/4 (tan (* x -1/2)))) (/ -3/4 (tan (* x -1/2))) (tan (* x -1/2)) (* x -1/2) (/ (sin x) (+ (cos x) 1)) (/ (/ (sin x) (+ (cos x) 1)) 3/4) (sin x) (+ (cos x) 1) (+ (* -1/48 (* x x)) 1/2) (cos x))
4.0ms
x
@-inf
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (* 1/2 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (/ 1 (/ -3/4 (tan (* x -1/2)))) (/ -3/4 (tan (* x -1/2))) (tan (* x -1/2)) (* x -1/2) (/ (sin x) (+ (cos x) 1)) (/ (/ (sin x) (+ (cos x) 1)) 3/4) (sin x) (+ (cos x) 1) (+ (* -1/48 (* x x)) 1/2) (cos x))
2.0ms
x
@0
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (tan (/ x 2)) 3/4) (tan (/ x 2)) (* 1/2 x) (* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8) (sin (* x 1/2)) (/ 1 (/ -3/4 (tan (* x -1/2)))) (/ -3/4 (tan (* x -1/2))) (tan (* x -1/2)) (* x -1/2) (/ (sin x) (+ (cos x) 1)) (/ (/ (sin x) (+ (cos x) 1)) 3/4) (sin x) (+ (cos x) 1) (+ (* -1/48 (* x x)) 1/2) (cos x))

simplify196.0ms (2.3%)

Memory
11.4MiB live, 199.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0201567
1508567
21185561
33499561
44404561
55408561
66197561
77336561
08065499
Stop Event
iter limit
node limit
Counts
56 → 55
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))))))))
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)))))))
(* 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 (+ 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))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* -1/2 x)
(* x (- (* -1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))
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)))
(+ 1/2 (* -1/48 (pow x 2)))
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)))
(* 4/3 (/ (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)))
(/ (sin (* 1/2 x)) (sin x))
(* 8/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(* -4/3 (/ (sin (* -1/2 x)) (cos (* -1/2 x))))
(* -3/4 (/ (cos (* -1/2 x)) (sin (* -1/2 x))))
(/ (sin (* -1/2 x)) (cos (* -1/2 x)))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))
(cos 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)
(* 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)
1/2
#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))
(* 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 (+ 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)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/24 (pow x 2)) 1/2))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/240 (pow x 2)) 1/24)) 1/2))
(*.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 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (pow x 2)) 1/240)) 1/24)) 1/2))
(*.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)
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 #s(literal -1/2 binary64) x) x #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))
(+ 1/2 (* -1/48 (pow x 2)))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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))
(* 4/3 (/ (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))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 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))
(* -3/4 (/ (cos (* -1/2 x)) (sin (* -1/2 x))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -3/4 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)))
(/ (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 (cos.f64 x) #s(literal 1 binary64))
(* -1/48 (pow x 2))
(*.f64 #s(literal -1/48 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)

rewrite157.0ms (1.9%)

Memory
21.7MiB live, 215.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037147
057139
1175139
2760139
35371139
08077139
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 090
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #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 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 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 3/4 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(cos.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (+.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)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64) #s(literal -3/4 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 3/4 binary64) #s(literal 3/4 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.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)))
(*.f64 (pow.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (/.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 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) (+.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)))
(*.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 4/3 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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 4/3 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) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 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)))
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/5308416 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/5308416 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9216 binary64) #s(literal 1/16 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/1352605460594688 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/884736 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/5308416 binary64) #s(literal -1/16 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/5308416 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9216 binary64) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/1352605460594688 binary64) #s(literal 1/512 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/12230590464 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/884736 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (/.f64 #s(literal -1/48 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) #s(literal -1/48 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2304 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/48 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/2304 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/48 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))

eval140.0ms (1.7%)

Memory
-32.9MiB live, 214.3MiB allocated
Compiler

Compiled 14 136 to 2 492 computations (82.4% saved)

prune29.0ms (0.3%)

Memory
24.6MiB live, 102.6MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New7506756
Fresh369
Picked235
Done022
Total75517772
Accuracy
100.0%
Counts
772 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/4 binary64))
99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.4%
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal 3/4 binary64) #s(literal 3/4 binary64)))
57.8%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
58.1%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
57.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
58.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
57.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 #s(literal 3/2 binary64) x)))
57.4%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
57.5%
(*.f64 (*.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3/4 binary64))))
57.8%
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
57.5%
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
57.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 023 to 421 computations (58.8% saved)

regimes34.0ms (0.4%)

Memory
-11.3MiB live, 72.8MiB allocated
Counts
56 → 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))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
(*.f64 (*.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
(/.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 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/4 binary64))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal 3/4 binary64) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(*.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 (-.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 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 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3/4 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3/4 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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.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)))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 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 (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(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 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 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 3/8 binary64))) (sin.f64 x))
(*.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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.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 (*.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 4/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(*.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))))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

17.0ms
x
15.0ms
(/.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)

regimes11.0ms (0.1%)

Memory
-21.2MiB live, 17.5MiB allocated
Counts
13 → 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))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
(*.f64 (*.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64))
Outputs
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
Calls

2 calls:

6.0ms
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
99.5%1x
99.5%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)

regimes8.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB 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))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
(*.f64 (*.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
Calls

2 calls:

4.0ms
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
58.3%1x
58.3%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)

regimes7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
9 → 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))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) #s(approx (/ (sin (* x 1/2)) 3/8) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x)))
(*.f64 (*.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 2 (- 1 (cos x))) (sin x)) (/.f64 #s(literal 4 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
(*.f64 #s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 3/8 binary64)))
Outputs
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
Calls

2 calls:

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))
3.0ms
x
Results
AccuracySegmentsBranch
57.8%1x
57.8%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)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB 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
57.5%1x
57.5%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)

simplify153.0ms (1.8%)

Memory
0.2MiB live, 39.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04869
15469
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(/.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 3/4 binary64))
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
#s(approx (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -3/4 (tan (* x -1/2))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness1.3s (15%)

Memory
-16.9MiB live, 663.4MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
0208576
1566576
21367570
32540570
44524570
54792570
65191570
76047570
87616570
08016507
0262717
1695717
21682711
33124711
45420711
55768711
66275711
77374711
08188633
0201567
1508567
21185561
33499561
44404561
55408561
66197561
77336561
08065499
037126
056120
1175118
2854110
37227110
08701110
038164
059146
1162146
2762139
36752139
08200139
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 228 to 174 computations (23.7% saved)

preprocess105.0ms (1.2%)

Memory
9.7MiB live, 54.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 242 to 174 computations (28.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...