Hyperbolic arcsine

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze65.0ms (2.2%)

Memory
3.6MiB live, 95.6MiB allocated; 6ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.9s (64.3%)

Memory
24.7MiB live, 1 550.5MiB allocated; 313ms collecting garbage
Samples
760.0ms1 747×2valid
685.0ms4 357×1valid
164.0ms2 152×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 725.0ms (53% of total)
ival-hypot: 475.0ms (34.7% of total)
adjust: 106.0ms (7.7% of total)
ival-add!: 63.0ms (4.6% of total)
Bogosity

explain183.0ms (6.2%)

Memory
-12.3MiB live, 183.5MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
700-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
650-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1160
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation700
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue650
↳(*.f64 x x)overflow65
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow65
Confusion
Predicted +Predicted -
+2180
-038
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+21800
-0038
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
038
1185
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms98×2valid
45.0ms272×1valid
21.0ms142×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 41.0ms (44.3% of total)
ival-hypot: 21.0ms (22.7% of total)
ival-mult!: 17.0ms (18.4% of total)
adjust: 9.0ms (9.7% of total)
ival-add!: 5.0ms (5.4% of total)

preprocess67.0ms (2.2%)

Memory
36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
13130
25930
38330
414230
534830
6239630
7593030
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.7%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series5.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
7 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

rewrite182.0ms (6.2%)

Memory
-5.2MiB live, 179.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177899
0185657
11011644
08277608
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
49 → 137
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(+.f64 (cosh.f64 (asinh.f64 x)) x)
(+.f64 x (cosh.f64 (asinh.f64 x)))
x
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (fma.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 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.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 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.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 (*.f64 #s(literal 1 binary64) x) (*.f64 #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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (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 (+ (* x x) 1)) (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 (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (neg.f64 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval48.0ms (1.6%)

Memory
-26.1MiB live, 26.0MiB allocated; 16ms collecting garbage
Compiler

Compiled 2 151 to 638 computations (70.3% saved)

prune4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1346140
Fresh000
Picked101
Done000
Total1356141
Accuracy
100.0%
Counts
141 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.5%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
27.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶99.8%
(asinh.f64 x)
▶47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶45.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
▶48.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 158 to 114 computations (27.8% saved)

series8.0ms (0.3%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
19 → 78
Calls
Call 1
Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
2.0ms
x
@-inf
((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
2.0ms
x
@0
((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

rewrite180.0ms (6.1%)

Memory
-11.0MiB live, 183.4MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02551759
02721439
112651415
082251385
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
97 → 203
Calls
Call 1
Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
x
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
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(-.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(-.f64 (log.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (asinh x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 3/40 (* x x)) 1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 3/40 (* x x)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (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 (+ (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (*.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 (asinh x) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (asinh x) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (asinh x) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -1/6) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64)))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (asinh x) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (asinh x) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval30.0ms (1%)

Memory
11.2MiB live, 56.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 969 to 1 010 computations (85.5% saved)

prune8.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2500250
Fresh011
Picked055
Done000
Total2506256
Accuracy
100.0%
Counts
256 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.5%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
▶27.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓99.8%
(asinh.f64 x)
✓47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓45.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
✓48.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 79 to 57 computations (27.8% saved)

series2.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
5 → 26
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 x)
1.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 x)
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2 x)

rewrite170.0ms (5.7%)

Memory
3.5MiB live, 190.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135612
0136439
1796412
08209391
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
31 → 37
Calls
Call 1
Inputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 x)))

eval3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 662 to 151 computations (77.2% saved)

prune16.0ms (0.6%)

Memory
-39.3MiB live, 7.0MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done055
Total36642
Accuracy
100.0%
Counts
42 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.5%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
✓27.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓99.8%
(asinh.f64 x)
✓47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓45.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
✓48.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 167 to 90 computations (46.1% saved)

regimes7.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(asinh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(asinh.f64 x)
Calls

3 calls:

2.0ms
x
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.8%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.8%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.8%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Accuracy

Total -1.7b remaining (-5%)

Threshold costs -1.7b (-5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
48.1%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
48.1%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
48.1%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations50.0ms (1.7%)

Memory
4.0MiB live, 50.2MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess21.0ms (0.7%)

Memory
-15.2MiB live, 43.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 92 to 60 computations (34.8% saved)

end0.0ms (0%)

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

Profiling

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