cos2 (problem 3.4.1)

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample1.9s (31.5%)

Memory
41.7MiB live, 1 807.3MiB allocated
Samples
892.0ms2 327×2valid
366.0ms4 243×0valid
216.0ms511×3valid
118.0ms1 175×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 911.0ms (70% of total)
adjust: 111.0ms (8.5% of total)
ival-div: 109.0ms (8.4% of total)
ival-sub: 99.0ms (7.6% of total)
ival-mult: 56.0ms (4.3% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain153.0ms (2.6%)

Memory
19.6MiB live, 205.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-3(-4.742913686120664e-162)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
641(-4.742913686120664e-162)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u670
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow67
(*.f64 x x)underflow67
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation654
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o20
(*.f64 x x)overflow68
Confusion
Predicted +Predicted -
+1331
-1121
Precision
0.9925373134328358
Recall
0.9925373134328358
Confusion?
Predicted +Predicted MaybePredicted -
+13310
-13118
Precision?
0.9710144927536232
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms158×2valid
20.0ms258×0valid
13.0ms26×3valid
8.0ms70×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-cos: 67.0ms (71.9% of total)
ival-div: 11.0ms (11.8% of total)
adjust: 6.0ms (6.4% of total)
ival-sub: 5.0ms (5.4% of total)
ival-mult: 4.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess151.0ms (2.5%)

Memory
3.2MiB live, 153.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
13517
210017
315717
422817
530717
654117
7118717
8253817
9500917
068
0108
1278
2628
31088
41548
52088
62948
75288
811738
925208
1049728
080408
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify116.0ms (1.9%)

Memory
-0.1MiB live, 134.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
12719
26219
310819
415419
520819
629419
752819
8117319
9252019
10497219
0804019
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

localize50.0ms (0.8%)

Memory
-16.2MiB live, 74.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(cos.f64 x)
accuracy13.630771606027665
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy17.034037738051445
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
27.0ms79×2valid
10.0ms129×0valid
4.0ms13×3valid
4.0ms35×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 24.0ms (69% of total)
adjust: 3.0ms (8.6% of total)
ival-div: 3.0ms (8.6% of total)
ival-sub: 3.0ms (8.6% of total)
ival-mult: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
4 → 16
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Calls

3 calls:

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

simplify148.0ms (2.5%)

Memory
7.0MiB live, 152.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042153
1123153
2327153
31154153
42765153
55117153
08046135
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 (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)))
(pow x 2)
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 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 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)))) 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 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite116.0ms (2%)

Memory
13.8MiB live, 109.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14517
232117
0333317
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 132
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 (cos.f64 x)) x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval15.0ms (0.3%)

Memory
-22.0MiB live, 23.5MiB allocated
Compiler

Compiled 2 901 to 540 computations (81.4% saved)

prune10.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New13414148
Fresh000
Picked011
Done000
Total13415149
Accuracy
100.0%
Counts
149 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.2%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
24.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
17.3%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
13.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
48.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
28.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.6%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
50.1%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
72.6%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
72.9%
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
51.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
50.7%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 408 to 258 computations (36.8% saved)

simplify83.0ms (1.4%)

Memory
-5.6MiB live, 84.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
cost-diff2
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff2
(*.f64 (neg.f64 x) (*.f64 x x))
cost-diff2
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
cost-diff3
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
cost-diff5
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
cost-diff1
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
cost-diff2
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036200
060199
1132191
2447166
32822164
08246162
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x x)
(*.f64 (neg.f64 x) (cos.f64 x))
(neg.f64 x)
(cos.f64 x)
(*.f64 (neg.f64 x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
Outputs
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (cos.f64 x) x x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 #s(literal 1/720 binary64) x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x x)
(*.f64 (neg.f64 x) (cos.f64 x))
(neg.f64 x)
(cos.f64 x)
(*.f64 (neg.f64 x) (*.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(log.f64 x)
#s(literal 2 binary64)

localize235.0ms (4%)

Memory
4.4MiB live, 205.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 x)
accuracy2.467882069147478
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy13.630771606027665
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy17.034037738051445
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
accuracy0.12109375
(*.f64 (neg.f64 x) (cos.f64 x))
accuracy9.716180391173108
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
accuracy25.830390600554217
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
accuracy32.247976360006604
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
accuracy0.060878759768442016
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
accuracy0.0703125
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
accuracy0.26953125
(*.f64 #s(literal 1/720 binary64) x)
accuracy31.193196096745048
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
accuracy30.74089373688915
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0.12109375
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
accuracy0.171875
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
accuracy0.4647776850576084
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy16.565101339408407
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
Samples
134.0ms79×2valid
42.0ms129×0valid
18.0ms35×1valid
14.0ms13×3valid
Compiler

Compiled 191 to 35 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 28.0ms (24.3% of total)
ival-cos: 24.0ms (20.8% of total)
ival-div: 17.0ms (14.7% of total)
adjust: 11.0ms (9.5% of total)
const: 8.0ms (6.9% of total)
ival-add: 6.0ms (5.2% of total)
ival-sin: 6.0ms (5.2% of total)
ival-log: 5.0ms (4.3% of total)
ival-exp: 4.0ms (3.5% of total)
ival-sub: 4.0ms (3.5% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-33.8MiB live, 16.1MiB allocated
Counts
20 → 58
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 (neg.f64 x) (cos.f64 x))
Outputs
(/ 1/2 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))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(pow x 2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* -1 x)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* 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)))
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)))
(* 1/720 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(- 1 (cos x))
(cos x)
(+ 1 (cos x))
(* -1 (* x (cos x)))
(* -1 (* x (- 1 (cos x))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x)))
6.0ms
x
@inf
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x)))
3.0ms
x
@0
((/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (+ (cos x) 1) x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (/ -1 x) (* x x)) (/ (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x))) (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (* (neg x) (* x x)) (exp (* (log x) 2)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (cos x) (+ (cos x) 1) (* 1/720 x) (* (neg x) (cos x)))

simplify123.0ms (2.1%)

Memory
46.1MiB live, 131.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136567
1409559
21171552
34041552
08239517
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
(/ 1/2 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))))))) x)
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
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))))
(pow x 2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* -1 x)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* 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)))
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)))
(* 1/720 x)
(* x (- (* 1/2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(* x (+ 1 (cos x)))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(- 1 (cos x))
(cos x)
(+ 1 (cos x))
(* -1 (* x (cos x)))
(* -1 (* x (- 1 (cos x))))
Outputs
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.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)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 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)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(pow x 2)
(*.f64 x x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(* -1 x)
(neg.f64 x)
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (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 (-.f64 (*.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.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))
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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(* 1/720 x)
(*.f64 #s(literal 1/720 binary64) x)
(* x (- (* 1/2 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* -1 (* x (cos x)))
(*.f64 (neg.f64 x) (cos.f64 x))
(* -1 (* x (- 1 (cos x))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)

rewrite172.0ms (2.9%)

Memory
-28.6MiB live, 200.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036162
060151
1203130
21486121
09871119
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 340
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 (neg.f64 x) (cos.f64 x))
Outputs
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))) x)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 (cos.f64 x) x x))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))) (*.f64 x (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (fma.f64 (neg.f64 x) (cos.f64 x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (cos.f64 x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 x) x))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 (neg.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) x))

eval191.0ms (3.2%)

Memory
33.2MiB live, 292.0MiB allocated
Compiler

Compiled 22 921 to 2 936 computations (87.2% saved)

prune32.0ms (0.5%)

Memory
37.7MiB live, 81.4MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New87316889
Fresh639
Picked325
Done011
Total88222904
Accuracy
100.0%
Counts
904 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
50.2%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)))
50.2%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
51.4%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
13.3%
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
72.3%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
24.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
2.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
43.1%
(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
72.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
43.1%
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x)))
50.1%
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
72.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
54.0%
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
52.8%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
51.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
50.7%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
52.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 652 to 430 computations (34% saved)

simplify107.0ms (1.8%)

Memory
12.0MiB live, 99.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
cost-diff0
(cos.f64 x)
cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff1
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
cost-diff3
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff0
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
cost-diff3
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042217
064215
1124207
2301207
3874201
42761201
55776201
08174198
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
x
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (sin.f64 x))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)

localize219.0ms (3.7%)

Memory
-50.9MiB live, 252.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
accuracy0.171875
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
accuracy16.565101339408407
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
accuracy26.030487042833037
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
accuracy0.00390625
(cos.f64 x)
accuracy0.0703125
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
accuracy0.15625
(/.f64 (cos.f64 x) x)
accuracy30.538899985067317
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(sin.f64 x)
accuracy0.171875
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy30.120780014831375
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.060878759768442016
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
accuracy31.193196096745048
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
accuracy31.81975080662929
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
accuracy0.0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.0
(sin.f64 x)
accuracy0.171875
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
accuracy16.799930806864566
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
Samples
63.0ms129×0valid
63.0ms63×1valid
62.0ms64×2valid
Compiler

Compiled 185 to 35 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-cos: 49.0ms (29.9% of total)
ival-div: 31.0ms (18.9% of total)
ival-add: 30.0ms (18.3% of total)
ival-mult: 23.0ms (14% of total)
adjust: 9.0ms (5.5% of total)
const: 8.0ms (4.9% of total)
ival-tan: 5.0ms (3.1% of total)
ival-sin: 5.0ms (3.1% of total)
ival-sub: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
21 → 64
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
Outputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 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))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
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))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
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)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
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)))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/ (- (cos x) 1) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (cos x) x)
(cos x)
(* (pow x 2) (+ 1 (cos x)))
(+ 1 (cos x))
(* x (+ 1 (cos x)))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x))
5.0ms
x
@-inf
((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x))
2.0ms
x
@0
((* (/ (tan (/ x 2)) (* x x)) (sin x)) (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) (+ (* (* 1/720 x) x) -1/24)) 1/2) (* x x) (+ (* (* 1/720 x) x) -1/24) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/ 1/2 x) (+ (* (/ (cos x) x) 1) (/ -1 x)) (/ (+ (* (/ (cos x) x) 1) (/ -1 x)) (neg x)) (/ (cos x) x) (cos x) (* (sin x) (/ (sin x) (* (* (+ (cos x) 1) x) x))) (/ (sin x) (* (* (+ (cos x) 1) x) x)) (* (* (+ (cos x) 1) x) x) (+ (cos x) 1) (* (+ (cos x) 1) x))

simplify189.0ms (3.2%)

Memory
-11.0MiB live, 173.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141649
1441648
21258636
34530636
08847592
Stop Event
iter limit
node limit
Counts
64 → 63
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ 1/2 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))))))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(pow x 2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
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))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
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)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
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)))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(sin x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/ (- (cos x) 1) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (cos x) x)
(cos x)
(* (pow x 2) (+ 1 (cos x)))
(+ 1 (cos x))
(* x (+ 1 (cos x)))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/24 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)
(/.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)
(/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) x)
(/.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 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)
(pow x 2)
(*.f64 x x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 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)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) 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 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1/2 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (cos.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)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x)
(/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(sin x)
(sin.f64 x)
(/ (sin x) (* (pow x 2) (+ 1 (cos x))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(/ (- (cos x) 1) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(cos x)
(cos.f64 x)
(* (pow x 2) (+ 1 (cos x)))
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(+ 1 (cos x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(* x (+ 1 (cos x)))
(fma.f64 (cos.f64 x) x x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite267.0ms (4.5%)

Memory
6.4MiB live, 253.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042193
064191
1212176
21369176
08552173
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 037
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(sin.f64 x)
#s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
Outputs
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (fabs.f64 (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) x))
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(*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (sin.f64 x) (neg.f64 x)))
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(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))))) x)
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)))
(/.f64 (/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(approx (+ (cos x) 1) #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) (neg.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (+ (cos x) 1) #s(literal 2 binary64)))

eval102.0ms (1.7%)

Memory
-8.2MiB live, 224.9MiB allocated
Compiler

Compiled 16 812 to 2 302 computations (86.3% saved)

prune31.0ms (0.5%)

Memory
-4.2MiB live, 102.6MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New7798787
Fresh41014
Picked235
Done033
Total78524809
Accuracy
100.0%
Counts
809 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
50.3%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
3.5%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
18.1%
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
50.9%
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x))
72.3%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
53.4%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
24.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
2.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
51.4%
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
43.1%
(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.4%
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x)
72.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
43.1%
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x)))
50.1%
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
72.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
52.8%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
51.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
50.7%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
52.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 676 to 436 computations (35.5% saved)

simplify86.0ms (1.5%)

Memory
16.8MiB live, 106.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f64 x #s(literal -1 binary64))
cost-diff2
(*.f64 x (*.f64 (neg.f64 x) x))
cost-diff3
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
cost-diff6
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
cost-diff0
(neg.f64 (cos.f64 x))
cost-diff0
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff1
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
cost-diff5
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
cost-diff3
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030183
055176
1114174
2354168
31785152
45602148
08317148
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sin.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (*.f64 (neg.f64 x) x))
Outputs
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sin.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
#s(literal 1 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

localize233.0ms (3.9%)

Memory
14.5MiB live, 204.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 x (*.f64 (neg.f64 x) x))
accuracy0.15625
(/.f64 (cos.f64 x) x)
accuracy25.830390600554217
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
accuracy46.51663353142566
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
accuracy0.00390625
(cos.f64 x)
accuracy0.40209499076022404
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy0.4101811672367336
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
accuracy31.09043068713966
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
accuracy0.00390625
(cos.f64 x)
accuracy0.0703125
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy13.630771606027665
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.45745326011227
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy0.0
(*.f64 x x)
accuracy13.630771606027665
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy17.034037738051445
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy29.03315870686602
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.0
(sin.f64 x)
accuracy0.16015625
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
accuracy17.034037738051445
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
Samples
110.0ms79×2valid
47.0ms35×1valid
35.0ms129×0valid
12.0ms13×3valid
Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-div: 55.0ms (33.1% of total)
ival-mult: 55.0ms (33.1% of total)
ival-cos: 26.0ms (15.6% of total)
adjust: 9.0ms (5.4% of total)
ival-tan: 5.0ms (3% of total)
ival-sin: 5.0ms (3% of total)
ival-neg: 4.0ms (2.4% of total)
ival-sub: 4.0ms (2.4% of total)
ival-add: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (1%)

Memory
-42.9MiB live, 19.1MiB allocated
Counts
22 → 57
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x #s(literal -1 binary64))
(sin.f64 x)
(/.f64 (cos.f64 x) x)
Outputs
(* 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))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 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
(+ 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)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* -1 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(* x (- (cos x) 1))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(sin x)
(/ (cos x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
Calls

3 calls:

TimeVariablePointExpression
53.0ms
x
@inf
((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x))
4.0ms
x
@-inf
((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x))
2.0ms
x
@0
((* (tan (/ x 2)) (sin x)) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (tan (/ x 2)) (/ x 2) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (* x x) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (- (/ (neg (cos x)) (* x x)) (/ 1 (* (neg x) x))) (/ 1 (* (neg x) x)) (/ (neg (cos x)) (* x x)) (neg (cos x)) (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (/ (+ (* (neg (/ (cos x) x)) (* (neg x) x)) (* x -1)) (* x (* (neg x) x))) (* x (* (neg x) x)) (* x -1) (sin x) (/ (cos x) x))

simplify157.0ms (2.6%)

Memory
36.5MiB live, 123.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129588
1399581
21197568
34976568
08569532
Stop Event
iter limit
node limit
Counts
57 → 56
Calls
Call 1
Inputs
(* 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))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* 1/2 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
(+ 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)))
(pow x 2)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 (pow x 3))
(* -1 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (pow x 2))
(- 1 (cos x))
(cos x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (cos x))
(* x (- (cos x) 1))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(sin x)
(/ (cos x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (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 (-.f64 (*.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))
(* 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
#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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x 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) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x 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)))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))
(sin x)
(sin.f64 x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)

rewrite324.0ms (5.5%)

Memory
2.5MiB live, 189.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030146
055140
1194115
21520113
08484113
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 175
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x #s(literal -1 binary64))
(sin.f64 x)
(/.f64 (cos.f64 x) x)
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
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(-.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) (neg.f64 x))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x (pow.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x (pow.f64 x #s(literal -3 binary64))))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(sin.f64 x)
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 x)))

eval107.0ms (1.8%)

Memory
-3.4MiB live, 144.0MiB allocated
Compiler

Compiled 15 208 to 2 283 computations (85% saved)

prune60.0ms (1%)

Memory
-15.8MiB live, 74.2MiB allocated
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New7376743
Fresh01313
Picked235
Done066
Total73928767
Accuracy
100.0%
Counts
767 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
18.1%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
50.3%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
3.5%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
50.9%
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x))
3.0%
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
72.3%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
53.4%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
24.8%
(/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x)
24.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
51.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
2.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
51.4%
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
43.1%
(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
51.4%
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x)
72.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
51.3%
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x)
43.1%
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x)))
48.9%
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (PI.f64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
50.1%
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
72.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
52.8%
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
50.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
51.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
50.7%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
52.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 181 to 487 computations (58.8% saved)

regimes56.0ms (0.9%)

Memory
-16.0MiB live, 41.5MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 #s(approx (- (* (/ -1 x) (* x x)) (* (neg x) (cos x))) (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) x)) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(approx (* (/ -1 x) (* x x)) (neg.f64 x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x))) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x (PI.f64)) (PI.f64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) x (*.f64 x (*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 #s(approx (+ (cos x) 1) #s(literal 2 binary64)) x) x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

43.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
11.0ms
x
Results
AccuracySegmentsBranch
98.7%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.6%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) x) x (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))))
(/.f64 #s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) x)
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (sin.f64 x) #s(approx (/ (sin x) (* (* (+ (cos x) 1) x) x)) (/.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
54.8%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
77.5%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total -0.9b remaining (-2.8%)

Threshold costs -0.9b (-2.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* 1/720 x) x) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch24.0ms (0.4%)

Memory
-14.9MiB live, 29.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
3.1303685383365856e-11
0.161541516508494
Samples
16.0ms160×0valid
Compiler

Compiled 191 to 170 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (45.7% of total)
ival-sub: 1.0ms (22.9% of total)
ival-div: 1.0ms (22.9% of total)
ival-mult: 1.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1303685383365856e-11
0.161541516508494
Compiler

Compiled 191 to 170 computations (11% saved)

bsearch21.0ms (0.4%)

Memory
-8.5MiB live, 37.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.4931976155390866e+77
1.1303366247732584e+78
Samples
17.0ms96×0valid
Compiler

Compiled 131 to 112 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (59.4% of total)
ival-mult: 1.0ms (19.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify72.0ms (1.2%)

Memory
8.0MiB live, 52.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02478
14578
28778
313678
418578
524778
633978
757678
8124678
9270978
10689478
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 6714614842830277/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 154999999999999999259630625570396408609363360116119764235305028876958691229696 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness277.0ms (4.7%)

Memory
-38.5MiB live, 243.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14517
232117
0333317
042153
1123153
2327153
31154153
42765153
55117153
08046135
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 105 to 46 computations (56.2% saved)

preprocess27.0ms (0.5%)

Memory
4.1MiB live, 49.6MiB allocated
Compiler

Compiled 216 to 94 computations (56.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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