invcot (example 3.9)

Time bar (total: 12.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample9.0s (71.4%)

Memory
-46.7MiB live, 7 176.0MiB allocated; 2.8s collecting garbage
Samples
7.1s4 051×2valid
1.2s4 197×1valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 8.0s
ival-tan: 7.1s (89.9% of total)
adjust: 364.0ms (4.6% of total)
ival-div!: 293.0ms (3.7% of total)
ival-sub!: 146.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess59.0ms (0.5%)

Memory
-27.4MiB live, 18.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
17424
242124
3260224
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series80.0ms (0.6%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
6 → 16
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) x))
#s(approx (/ 1 (tan x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))) x))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite121.0ms (1%)

Memory
-11.1MiB live, 35.3MiB allocated; 9ms collecting garbage
Counts
6 → 22
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 x #s(literal 1 binary64))) (*.f64 x (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 x)) #s(literal 1 binary64)) (tan.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
x
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(tan.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(tan.f64 (+.f64 x (PI.f64)))

eval4.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 472 to 154 computations (67.4% saved)

prune2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233
Accuracy
99.5%
Counts
33 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
99.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series77.0ms (0.6%)

Memory
-23.9MiB live, 22.4MiB allocated; 6ms collecting garbage
Counts
11 → 14
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1/3 (* 1/45 (pow x 2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/45 (pow x 2)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite252.0ms (2%)

Memory
14.9MiB live, 68.0MiB allocated; 14ms collecting garbage
Counts
11 → 125
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/45 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (/ -1 (tan x)) (/ 1 x)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/3 binary64))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
(neg.f64 (neg.f64 x))
#s(approx (+ (/ -1 (tan x)) (/ 1 x)) (*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal -1/45 binary64)) x) (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x #s(literal -1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (*.f64 x (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64))))
(neg.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x #s(literal -1/45 binary64)) x))
(fma.f64 (*.f64 x #s(literal -1/45 binary64)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (neg.f64 (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(neg.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)))
(neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/45 binary64)) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1/45 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(*.f64 x (*.f64 x #s(literal 1/45 binary64)))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/45 binary64))
(*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 #s(literal -1/45 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/45 binary64)) x))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/45 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))

eval15.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 020 to 613 computations (79.7% saved)

prune6.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1484152
Fresh000
Picked112
Done000
Total1495154
Accuracy
99.6%
Counts
154 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
47.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
99.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
33.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Compiler

Compiled 112 to 84 computations (25% saved)

series91.0ms (0.7%)

Memory
-14.5MiB live, 32.0MiB allocated; 3ms collecting garbage
Counts
27 → 21
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/3 binary64) x)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (pow x 2)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x 1/45) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) #s(literal 1/45 binary64))
#s(approx (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
5.0ms
x
-inf
2.0ms
x
inf
2.0ms
x
0

rewrite470.0ms (3.7%)

Memory
22.5MiB live, 252.4MiB allocated; 32ms collecting garbage
Counts
27 → 1 232
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/3 binary64) x)
Outputs
#s(approx (+ (/ 1 x) (/ -1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (* x x)))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)))
#s(approx (* x (+ 1/3 (* 1/45 (* x x)))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 x)) (neg.f64 (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (fabs.f64 x)) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (fabs.f64 x) x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 (*.f64 x x))) (neg.f64 x))
(*.f64 (*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 x))) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (fabs.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (neg.f64 x)) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)))
(*.f64 (*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (fabs.f64 x)) x))
(+.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 x #s(literal -1/3 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) x) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal -1/45 binary64)) x) (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x #s(literal -1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
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(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x)))
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(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
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(fma.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
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(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
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(fma.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (fabs.f64 x))) (fabs.f64 x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (fabs.f64 x)) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (fabs.f64 x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 0 binary64)))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))

eval195.0ms (1.5%)

Memory
-15.7MiB live, 258.9MiB allocated; 98ms collecting garbage
Compiler

Compiled 68 388 to 8 218 computations (88% saved)

prune36.0ms (0.3%)

Memory
16.7MiB live, 63.8MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 771101 781
Fresh000
Picked224
Done011
Total1 773131 786
Accuracy
99.7%
Counts
1 786 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) x) x)))
37.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))))
46.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
46.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))))
47.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
99.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
34.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
33.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))))
33.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
33.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
47.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
Compiler

Compiled 666 to 460 computations (30.9% saved)

series90.0ms (0.7%)

Memory
13.7MiB live, 59.5MiB allocated; 24ms collecting garbage
Counts
33 → 28
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 2/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (+ (* (* x 1/45) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x 1/45) x) 1/3) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* x 1/45) x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x 1/45) x) 1/3) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x 1/45) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 x (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(literal 1/45 binary64))
#s(approx (- (/ 1/3 (* x x)) -1/45) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (* x 1/45) x) 1/3) (* (* x x) x)) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x 1/45) x) 1/3) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* x 1/45) x) 1/3) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x 1/45) x) 1/3) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
3.0ms
x
-inf
2.0ms
x
0

rewrite1.5s (11.5%)

Memory
5.5MiB live, 1 264.4MiB allocated; 317ms collecting garbage
Counts
33 → 3 528
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
#s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (+ (/ 1 x) (/ -1 (tan x))) #s(approx (* (+ 1/3 (* (* x 1/45) x)) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)))
#s(approx (* (+ 1/3 (* (* x 1/45) x)) x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (*.f64 x x)) (fma.f64 x #s(literal -1/45 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(*.f64 (fma.f64 x #s(literal -1/45 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
(*.f64 x (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (fabs.f64 x)) (/.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (fabs.f64 x)) (copysign.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (fabs.f64 x)) (*.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fabs.f64 x))) (/.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (neg.f64 (fabs.f64 x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (copysign.f64 #s(literal 1 binary64) x)) (fabs.f64 x))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fabs.f64 x))) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x))
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(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(hypot.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (copysign.f64 #s(literal 1 binary64) x))
(hypot.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fabs.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (neg.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))
(hypot.f64 (/.f64 x (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (fabs.f64 x))))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) x))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))))
(neg.f64 #s(literal -1 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 x #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 0 binary64))
(pow.f64 (neg.f64 x) #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))

eval537.0ms (4.2%)

Memory
24.7MiB live, 531.8MiB allocated; 195ms collecting garbage
Compiler

Compiled 233 381 to 18 842 computations (91.9% saved)

prune82.0ms (0.6%)

Memory
33.0MiB live, 79.9MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New3 927113 938
Fresh415
Picked325
Done033
Total3 934173 951
Accuracy
99.9%
Counts
3 951 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
52.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
46.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))))
99.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
52.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) x)))
52.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (fabs.f64 x)) x) (fabs.f64 x))))
33.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 #s(approx (+ (* (* x 1/45) x) 1/3) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
52.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x x))))
33.0%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
33.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
49.3%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (*.f64 x x)) (/.f64 x (neg.f64 (*.f64 x x))))))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x)) (fabs.f64 x)) (fabs.f64 x))))
46.8%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
47.1%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
51.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Compiler

Compiled 504 to 348 computations (31% saved)

regimes22.0ms (0.2%)

Memory
-25.8MiB live, 20.8MiB allocated; 3ms collecting garbage
Accuracy

Total -30.1b remaining (-3088.2%)

Threshold costs -30.1b (-3088.2%)

Counts
2 → 1
28 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Call 2
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 #s(approx (+ (* (* x 1/45) x) 1/3) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (fma.f64 x #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) x)) (fabs.f64 x)) (fabs.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (fabs.f64 x)) x) (fabs.f64 x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal -1/3 binary64)) (*.f64 x x)) (/.f64 x (neg.f64 (*.f64 x x))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/45 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal -1/45 binary64)) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* x (+ 1/3 (* 1/45 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 x #s(approx (+ 1/3 (* 1/45 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) x #s(literal 1/3 binary64)) x))
Calls

4 calls:

9.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.0%1x
99.5%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
99.5%1x
Compiler

Compiled 825 to 180 computations (78.2% saved)

derivations0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 29 to 14 computations (51.7% saved)

preprocess24.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 119 to 79 computations (33.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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