Hyperbolic arc-(co)secant

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample963.0ms (19.3%)

Memory
52.1MiB live, 1 302.7MiB allocated; 294ms collecting garbage
Samples
647.0ms8 256×0valid
1.0ms16×0invalid
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-div: 131.0ms (30.1% of total)
ival-log: 88.0ms (20.2% of total)
ival-sqrt: 72.0ms (16.5% of total)
ival-mult: 53.0ms (12.2% of total)
ival-sub: 45.0ms (10.3% of total)
ival-add: 35.0ms (8% of total)
exact: 7.0ms (1.6% of total)
adjust: 3.0ms (0.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain116.0ms (2.3%)

Memory
-20.0MiB live, 217.6MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
40.0ms512×0valid
Compiler

Compiled 121 to 31 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 7.0ms (27% of total)
ival-log: 6.0ms (23.2% of total)
ival-mult: 4.0ms (15.5% of total)
ival-sqrt: 4.0ms (15.5% of total)
ival-add: 2.0ms (7.7% of total)
ival-sub: 2.0ms (7.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess212.0ms (4.3%)

Memory
19.4MiB live, 207.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01836
14536
28136
312636
426036
594236
6365036
0913
01611
12711
25311
39711
418911
567511
6688611
0833511
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify198.0ms (4%)

Memory
4.9MiB live, 137.4MiB allocated; 30ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
cost-diff2
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0952
01648
12748
25348
39748
418948
567548
6688648
0833548
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize31.0ms (0.6%)

Memory
-14.6MiB live, 30.2MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy0.0078125
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.01171875
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Samples
19.0ms256×0valid
Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.6% of total)
ival-log: 3.0ms (24.5% of total)
ival-mult: 2.0ms (16.3% of total)
ival-sqrt: 2.0ms (16.3% of total)
ival-add: 1.0ms (8.2% of total)
ival-sub: 1.0ms (8.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
5 → 49
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
2.0ms
x
@-inf
((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
2.0ms
x
@0
((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

simplify194.0ms (3.9%)

Memory
32.0MiB live, 218.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101202
14851179
215511144
076631123
Stop Event
iter limit
iter limit
node limit
Counts
49 → 49
Calls
Call 1
Inputs
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Outputs
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1)))
#s(approx (/ (sqrt (- 1 (* x x))) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) x)))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))

rewrite60.0ms (1.2%)

Memory
-18.6MiB live, 84.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01624
17224
059623
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 65
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x) x)
(/.f64 (-.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 (acos.f64 x))))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (sin.f64 (acos.f64 x))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (tan.f64 (acos.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (sin.f64 (acos.f64 x)) x) (*.f64 x x)))
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(-.f64 (log.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (log.f64 (*.f64 x x)))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x))
(/.f64 (sin.f64 (acos.f64 x)) (cos.f64 (acos.f64 x)))
(/.f64 (sin.f64 (acos.f64 x)) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) x))
(neg.f64 (/.f64 (sin.f64 (acos.f64 x)) (neg.f64 x)))
(tan.f64 (+.f64 (acos.f64 x) (PI.f64)))
(tan.f64 (acos.f64 x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))

eval29.0ms (0.6%)

Memory
-6.9MiB live, 39.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 287 to 520 computations (77.3% saved)

prune6.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1068114
Fresh000
Picked011
Done000
Total1069115
Accuracy
100.0%
Counts
115 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
54.4%
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
33.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
99.1%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
98.9%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
98.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
98.1%
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
Compiler

Compiled 267 to 189 computations (29.2% saved)

simplify105.0ms (2.1%)

Memory
-0.9MiB live, 186.9MiB allocated; 21ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (acos.f64 x))
cost-diff0
(fma.f64 (sin.f64 (acos.f64 x)) x x)
cost-diff0
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
cost-diff3
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
cost-diff0
(log.f64 x)
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
cost-diff0
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
cost-diff2
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 #s(literal -1 binary64))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
cost-diff0
(acos.f64 x)
cost-diff0
(sin.f64 (acos.f64 x))
cost-diff0
(log1p.f64 (sin.f64 (acos.f64 x)))
cost-diff0
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031182
050172
179172
2183167
3555163
41893163
08653160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log1p.f64 (sin.f64 (acos.f64 x)))
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(log.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(*.f64 x x)
Outputs
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log1p.f64 (sin.f64 (acos.f64 x)))
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(log.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(log.f64 (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(sin.f64 (acos.f64 x))
(acos.f64 x)
x
(*.f64 x x)

localize111.0ms (2.2%)

Memory
-5.6MiB live, 142.5MiB allocated; 15ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(sin.f64 (acos.f64 x))
accuracy0.0
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
accuracy0.0
(acos.f64 x)
accuracy0.0
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
accuracy0.0
(log.f64 x)
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
accuracy0.0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
accuracy0.0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
accuracy0.0
(sqrt.f64 #s(literal -1 binary64))
accuracy0.0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy0.0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
accuracy0.0
(sin.f64 (acos.f64 x))
accuracy0.0
(log1p.f64 (sin.f64 (acos.f64 x)))
accuracy0.0
(log.f64 x)
accuracy0.0
(acos.f64 x)
Samples
96.0ms256×0invalid
Compiler

Compiled 163 to 29 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sin: 24.0ms (33.9% of total)
ival-add: 14.0ms (19.8% of total)
ival-log: 9.0ms (12.7% of total)
ival-div: 6.0ms (8.5% of total)
ival-mult: 5.0ms (7.1% of total)
ival-acos: 3.0ms (4.2% of total)
ival-sub: 3.0ms (4.2% of total)
ival-log1p: 3.0ms (4.2% of total)
ival-sqrt: 3.0ms (4.2% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series389.0ms (7.8%)

Memory
-52.6MiB live, 214.3MiB allocated; 172ms collecting garbage
Counts
19 → 53
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log1p.f64 (sin.f64 (acos.f64 x)))
(sin.f64 (acos.f64 x))
(acos.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(*.f64 x x)
Outputs
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x))))
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x))))))
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x))))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x)))))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1)))))
Calls

3 calls:

TimeVariablePointExpression
206.0ms
x
@-inf
((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x))
95.0ms
x
@inf
((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x))
86.0ms
x
@0
((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x))

simplify198.0ms (4%)

Memory
27.6MiB live, 217.8MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281052
15111032
21543988
06530944
Stop Event
iter limit
iter limit
node limit
Counts
53 → 53
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x))))
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x))))))
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x))))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x)))))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1)))))
Outputs
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x))))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)))
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x))))))
#s(approx (log (+ 1 (sin (acos x)))) (log1p.f64 (sin.f64 (acos.f64 x))))
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x))))
#s(approx (sin (acos x)) (sin.f64 (acos.f64 x)))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (acos x) (acos.f64 x))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* x x) -1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x))))))
#s(approx (+ (* (sin (acos x)) x) x) (fma.f64 (sin.f64 (acos.f64 x)) x x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x))))))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* (* x x) -1/2) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x) x))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log x) (log.f64 x))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x)))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x))
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x))))
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x)))))
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1)))))
#s(approx (+ (* (sin (acos x)) x) x) (fma.f64 (sin.f64 (acos.f64 x)) x x))

rewrite83.0ms (1.7%)

Memory
11.4MiB live, 104.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031164
050132
1192129
01498129
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 202
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log1p.f64 (sin.f64 (acos.f64 x)))
(sin.f64 (acos.f64 x))
(acos.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(*.f64 x x)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(log1p.f64 (sin.f64 (acos.f64 x)))
(-.f64 (log.f64 (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x)))) (log.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sin.f64 (acos.f64 x)))))
(log.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))
(*.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (asin.f64 x))))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 x) (asin.f64 x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))
(acos.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x)))))
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(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x))) x) (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (sin.f64 (acos.f64 x)) (-.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 (sin.f64 (acos.f64 x)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (acos.f64 x)) x x)
(fma.f64 x (sin.f64 (acos.f64 x)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)))
(-.f64 x (*.f64 (neg.f64 (sin.f64 (acos.f64 x))) x))
(-.f64 x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)
(+.f64 x (*.f64 (sin.f64 (acos.f64 x)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval63.0ms (1.3%)

Memory
-19.8MiB live, 79.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 5 866 to 1 088 computations (81.5% saved)

prune22.0ms (0.4%)

Memory
-16.7MiB live, 28.4MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2718279
Fresh213
Picked505
Done101
Total2799288
Accuracy
100.0%
Counts
288 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
54.4%
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
33.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
99.3%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
99.1%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
98.9%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
53.3%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
98.5%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 374 to 252 computations (32.6% saved)

simplify95.0ms (1.9%)

Memory
12.1MiB live, 111.6MiB allocated; 7ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
cost-diff0
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
cost-diff3
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
cost-diff2
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
cost-diff6
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
cost-diff0
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff0
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
cost-diff0
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037303
062267
1108266
2296255
31450251
08189250
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(log.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)
Outputs
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(log.f64 x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)

localize113.0ms (2.3%)

Memory
17.7MiB live, 110.0MiB allocated; 5ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
accuracy0.0078125
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy0.01171875
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
accuracy28.637671133939655
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
accuracy0.01171875
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy0.01171875
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
accuracy0.7372709336754895
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
accuracy28.629858633939655
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.01171875
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
accuracy0.7372709336754895
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.01171875
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
accuracy0.7372709336754895
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy62.99850993968642
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
accuracy0.0
(log.f64 x)
accuracy0.0078125
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy0.21484375
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
Samples
61.0ms256×0valid
Compiler

Compiled 248 to 35 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 12.0ms (26.3% of total)
ival-div: 9.0ms (19.8% of total)
ival-log: 7.0ms (15.4% of total)
ival-add: 6.0ms (13.2% of total)
ival-sqrt: 5.0ms (11% of total)
ival-log1p: 3.0ms (6.6% of total)
ival-sub: 2.0ms (4.4% of total)
ival-neg: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series102.0ms (2.1%)

Memory
-16.7MiB live, 80.3MiB allocated; 39ms collecting garbage
Counts
21 → 126
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(log.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Outputs
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2)))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ 1 x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (log -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1)))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x)))
10.0ms
x
@-inf
((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x)))
10.0ms
x
@inf
((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x)))

simplify260.0ms (5.2%)

Memory
11.1MiB live, 289.8MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603048
18072984
225392846
085742716
Stop Event
iter limit
node limit
Counts
126 → 126
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log 2) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2)))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ 1 x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/2))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (log -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1)))))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1))))
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))))
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
Outputs
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#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 x) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite101.0ms (2%)

Memory
6.0MiB live, 107.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037267
062215
1252196
01956189
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
21 → 292
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(log.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(log1p.f64 (sin.f64 (acos.f64 x)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sin.f64 (acos.f64 x)))))
(log.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (fabs.f64 x)))
(sin.f64 (acos.f64 (neg.f64 x)))
(sin.f64 (acos.f64 x))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(cos.f64 (neg.f64 (asin.f64 x)))
(cos.f64 (asin.f64 (fabs.f64 x)))
(cos.f64 (asin.f64 (neg.f64 x)))
(cos.f64 (asin.f64 x))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (sin.f64 (acos.f64 x))) (fabs.f64 (sin.f64 (acos.f64 x))))
(*.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (sin.f64 (acos.f64 x))))
(*.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 x)))
(pow.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 x) (asin.f64 x))) (sin.f64 (+.f64 (acos.f64 x) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (asin.f64 x))) (cos.f64 (-.f64 (asin.f64 x) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (acos.f64 x)))))
(-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (asin.f64 x)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
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(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
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(fma.f64 (sin.f64 (acos.f64 x)) x x)
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(log.f64 x)
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(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
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(*.f64 x (*.f64 #s(literal -1/2 binary64) x))

eval56.0ms (1.1%)

Memory
-4.1MiB live, 134.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 11 286 to 1 817 computations (83.9% saved)

prune18.0ms (0.4%)

Memory
1.5MiB live, 52.7MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4614465
Fresh314
Picked145
Done000
Total4659474
Accuracy
100.0%
Counts
474 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
54.4%
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
52.8%
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
33.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
99.3%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
99.1%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
98.5%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
98.9%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 289 to 199 computations (31.1% saved)

simplify138.0ms (2.8%)

Memory
-9.6MiB live, 186.9MiB allocated; 29ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 (acos.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
cost-diff0
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
cost-diff0
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
cost-diff0
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036322
059322
1101313
2269301
3936289
43965289
08184286
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64))
#s(literal -1/16 binary64)
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(tan.f64 (acos.f64 x))
(acos.f64 x)
Outputs
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))
#s(literal -1/16 binary64)
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
(+.f64 (tan.f64 (acos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(tan.f64 (acos.f64 x))
(acos.f64 x)

localize480.0ms (9.6%)

Memory
5.9MiB live, 432.6MiB allocated; 37ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(acos.f64 x)
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
accuracy0.01171875
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
accuracy58.37933090338902
(tan.f64 (acos.f64 x))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
accuracy0.6123400678320624
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.01171875
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
accuracy1.0519064700170628
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
accuracy28.637671133939655
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.01171875
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
accuracy1.0438994556444898
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
accuracy0.01171875
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
accuracy0.49356361390364956
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
Samples
389.0ms249×1valid
2.0ms0valid
Compiler

Compiled 255 to 34 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 362.0ms
ival-tan: 216.0ms (59.7% of total)
adjust: 80.0ms (22.1% of total)
ival-acos: 20.0ms (5.5% of total)
ival-mult: 14.0ms (3.9% of total)
ival-add: 12.0ms (3.3% of total)
ival-div: 8.0ms (2.2% of total)
ival-log: 7.0ms (1.9% of total)
ival-sqrt: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-10.5MiB live, 36.1MiB allocated; 3ms collecting garbage
Counts
21 → 83
Calls
Call 1
Inputs
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(tan.f64 (acos.f64 x))
(*.f64 x x)
(acos.f64 x)
Outputs
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) (pow x 2))) (* 1/3 (/ (pow (sin (acos x)) 3) (pow x 2))))) (/ (sin (acos x)) x))))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (tan (acos x)) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/16 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1/16 (pow x 4))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (log (/ (sin (acos x)) x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (/ 1 (sin (acos x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (/ 1 (sin (acos x)))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (+ (/ 1/3 (pow (sin (acos x)) 3)) (/ 1 (sin (acos x))))))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (+ (/ 1 x) (/ (sin (acos x)) x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x)))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x))
4.0ms
x
@inf
((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x))
4.0ms
x
@0
((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x))

simplify210.0ms (4.2%)

Memory
40.8MiB live, 178.9MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03352175
18352107
231782083
087701955
Stop Event
iter limit
node limit
Counts
83 → 83
Calls
Call 1
Inputs
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) (pow x 2))) (* 1/3 (/ (pow (sin (acos x)) 3) (pow x 2))))) (/ (sin (acos x)) x))))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (tan (acos x)) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/16 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1/16 (pow x 4))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (log (/ (sin (acos x)) x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (/ 1 (sin (acos x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (/ 1 (sin (acos x)))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (+ (/ 1/3 (pow (sin (acos x)) 3)) (/ 1 (sin (acos x))))))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (+ (/ 1 x) (/ (sin (acos x)) x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x)))))
Outputs
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2)))
#s(approx (+ (* -1/8 (* x x)) -1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (sin.f64 (acos.f64 x)) (log.f64 x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (sin.f64 (acos.f64 x))) x) x (neg.f64 (log.f64 x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) (pow x 2))) (* 1/3 (/ (pow (sin (acos x)) 3) (pow x 2))))) (/ (sin (acos x)) x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) x (/.f64 (sin.f64 (acos.f64 x)) x)) x (neg.f64 (log.f64 x))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) (tan (acos x))) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (+ 1 (sin (acos x))) x)))
#s(approx (+ (/ 1 x) (tan (acos x))) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (tan (acos x)) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (tan (acos x)) (/.f64 (sin.f64 (acos.f64 x)) x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (acos x) #s(hole binary64 (acos x)))
#s(approx (acos x) (acos.f64 x))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/16 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/16 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) x) x)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1/16 (pow x 4))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))))
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/8 (pow x 3))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* -1/8 (* x x)) -1/2) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/8 (* x x)) -1/2) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (log (/ (sin (acos x)) x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (/ 1 (sin (acos x))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (/ 1 (sin (acos x)))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (acos.f64 x))) #s(literal 1 binary64)) (sin.f64 (acos.f64 x))) (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (+ (/ 1/3 (pow (sin (acos x)) 3)) (/ 1 (sin (acos x))))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (acos.f64 x))) #s(literal 1 binary64)) (sin.f64 (acos.f64 x)))) (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x))))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (sin (acos x)) x)))
#s(approx (+ (/ 1 x) (tan (acos x))) (/.f64 (sin.f64 (acos.f64 x)) x))
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (+ (/ 1 x) (/ (sin (acos x)) x))))
#s(approx (+ (/ 1 x) (tan (acos x))) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/16 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x)) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sin.f64 (acos.f64 x))) (neg.f64 x)) (sin.f64 (acos.f64 x))) x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x)))))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x)) (/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (sin.f64 (acos.f64 x)))) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64))) x) (/.f64 x (sin.f64 (acos.f64 x))))) x)))

rewrite77.0ms (1.6%)

Memory
2.3MiB live, 89.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036289
059289
1225253
01720244
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
21 → 165
Calls
Call 1
Inputs
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(tan.f64 (acos.f64 x))
(*.f64 x x)
(acos.f64 x)
Outputs
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x))
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (sin.f64 (acos.f64 x)) x)) (*.f64 x x))
(/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (tan.f64 (acos.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (tan.f64 (acos.f64 x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (acos.f64 x)) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (PI.f64) (acos.f64 x))) (cos.f64 (+.f64 (PI.f64) (acos.f64 x))))
(/.f64 (sin.f64 (acos.f64 x)) x)
(tan.f64 (+.f64 (+.f64 (PI.f64) (acos.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (acos.f64 x)))
(tan.f64 (acos.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 x) (asin.f64 x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))
(acos.f64 x)

eval89.0ms (1.8%)

Memory
-19.0MiB live, 133.6MiB allocated; 26ms collecting garbage
Compiler

Compiled 9 879 to 1 319 computations (86.6% saved)

prune36.0ms (0.7%)

Memory
-15.0MiB live, 32.4MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3062308
Fresh000
Picked145
Done134
Total3089317
Accuracy
100.0%
Counts
317 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
54.4%
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
52.8%
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x)))
33.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
99.3%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
99.1%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
98.5%
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
98.9%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
31.3%
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
Compiler

Compiled 617 to 231 computations (62.6% saved)

regimes19.0ms (0.4%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x)))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))))
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)))
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Calls

3 calls:

6.0ms
x
6.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
6.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes34.0ms (0.7%)

Memory
-24.5MiB live, 26.4MiB allocated; 5ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x)))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
Calls

3 calls:

24.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
4.0ms
x
Results
AccuracySegmentsBranch
99.3%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.3%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.3%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.3%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x)))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
Calls

3 calls:

4.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
4.0ms
x
4.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Results
AccuracySegmentsBranch
99.1%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
99.1%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.1%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.3%)

Memory
-22.9MiB live, 20.4MiB allocated; 7ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x)))
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
Calls

3 calls:

7.0ms
x
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Results
AccuracySegmentsBranch
98.9%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
98.9%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
98.9%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms
x
Results
AccuracySegmentsBranch
98.5%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
98.5%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
98.5%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total -20.0b remaining (-45.6%)

Threshold costs -20b (-45.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
Outputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
Calls

3 calls:

1.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
1.0ms
x
Results
AccuracySegmentsBranch
31.3%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
31.3%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
31.3%1x
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify50.0ms (1%)

Memory
9.3MiB live, 53.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041109
166109
2104109
3170109
4387109
52537109
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x)))

derivations230.0ms (4.6%)

Memory
-44.4MiB live, 196.9MiB allocated; 34ms collecting garbage
Stop Event
fuel
Compiler

Compiled 117 to 42 computations (64.1% saved)

preprocess29.0ms (0.6%)

Memory
33.2MiB live, 33.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 260 to 102 computations (60.8% saved)

end0.0ms (0%)

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

Profiling

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