Hyperbolic arcsine

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze70.0ms (2%)

Memory
17.7MiB live, 111.0MiB allocated; 10ms 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)

sample1.8s (51.9%)

Memory
65.2MiB live, 1 980.7MiB allocated; 386ms collecting garbage
Samples
772.0ms1 677×2valid
630.0ms4 362×1valid
124.0ms2 217×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 665.0ms (53.7% of total)
ival-hypot: 403.0ms (32.5% of total)
adjust: 123.0ms (9.9% of total)
ival-add!: 47.0ms (3.8% of total)
Bogosity

explain182.0ms (5.2%)

Memory
-22.9MiB live, 217.0MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1390-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
590-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
510-0-(+.f64 x (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)))))sensitivity1392
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue590
↳(*.f64 x x)overflow59
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow59
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation510
Confusion
Predicted +Predicted -
+2230
-033
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22300
-0231
Precision?
0.9911111111111112
Recall?
1.0
Freqs
test
numberfreq
033
1197
226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms114×2valid
46.0ms262×1valid
14.0ms136×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log: 52.0ms (54.7% of total)
ival-hypot: 22.0ms (23.2% of total)
adjust: 10.0ms (10.5% of total)
ival-mult!: 6.0ms (6.3% of total)
ival-add!: 5.0ms (5.3% of total)

preprocess225.0ms (6.5%)

Memory
-11.2MiB live, 175.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
13130
25930
38330
414230
534830
6239630
7593030
079
0129
1209
2429
3829
41419
53479
624029
759039
081428
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
Compiler

Compiled 9 to 7 computations (22.2% 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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶19.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series5.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB 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)

rewrite174.0ms (5%)

Memory
15.7MiB live, 206.0MiB allocated; 26ms 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))))))

eval19.0ms (0.5%)

Memory
-20.6MiB live, 25.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 151 to 638 computations (70.3% saved)

prune5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1337140
Fresh000
Picked101
Done000
Total1347141
Accuracy
100.0%
Counts
141 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.3%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
20.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶99.8%
(asinh.f64 x)
▶55.4%
#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))
▶56.5%
#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))
▶55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
▶56.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 216 to 150 computations (30.6% saved)

series11.0ms (0.3%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
23 → 87
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)
#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))
(*.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)
(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))
(-.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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 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 (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
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)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112)
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)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112)
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)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112)

rewrite203.0ms (5.8%)

Memory
-0.0MiB live, 141.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02422235
02701978
110371896
082991759
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
110 → 429
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)
#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))
(*.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)
(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))
(-.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 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
#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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 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 (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
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 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) x) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x))
x
#s(approx (asinh x) x)
#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(-.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(/.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 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.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 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 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 (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 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.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))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(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 (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 -1/6 binary64)
#s(literal 1 binary64)
#s(approx (asinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
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(fma.f64 (*.f64 #s(literal -5/112 binary64) x) x #s(literal 3/40 binary64))
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(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
(fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
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(+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (*.f64 x x)))
#s(literal -5/112 binary64)
#s(approx (asinh x) x)
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#s(approx x x)
#s(approx (asinh x) x)
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#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
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#s(approx (asinh x) (-.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 x) -1/6) 1) x) (*.f64 (neg.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) (*.f64 (neg.f64 (fma.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) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (fma.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)))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (neg.f64 (fma.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 5/112 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (neg.f64 (fma.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 5/112 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 5/112 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (pow.f64 x #s(literal -6 binary64)))))))

eval105.0ms (3%)

Memory
-11.0MiB live, 79.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 17 783 to 2 367 computations (86.7% saved)

prune17.0ms (0.5%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5604564
Fresh022
Picked325
Done000
Total5638571
Accuracy
100.0%
Counts
571 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.3%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
▶20.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓99.8%
(asinh.f64 x)
▶55.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
▶56.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
▶55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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))))
✓56.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 295 to 178 computations (39.7% saved)

series19.0ms (0.5%)

Memory
-36.4MiB live, 10.7MiB allocated; 1ms collecting garbage
Counts
24 → 91
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 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)
(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)
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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x -1/6) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (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 (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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 x)) 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) #s(hole binary64 (* 3/40 (pow x 3))))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* (pow x 3) (- 3/40 (* 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 x) (* x -1/6)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -5/112 (pow x 5))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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 x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#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
12.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) 3/40 (* x x) x -1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* x x) (* x -1/6)) x) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)
3.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) 3/40 (* x x) x -1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* x x) (* x -1/6)) x) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) (* (+ (* 3/40 (* x x)) -1/6) x) (+ (* 3/40 (* x x)) -1/6) 3/40 (* x x) x -1/6 (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* x x) (* x -1/6)) x) (* x -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)

rewrite184.0ms (5.3%)

Memory
43.6MiB live, 138.3MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03172270
03421915
115501903
080521840
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
115 → 221
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 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)
(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)
#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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x -1/6) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (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 (/ -1/2 x) #s(hole binary64 (/ -1/2 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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5))))
#s(approx (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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 x)) 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) #s(hole binary64 (* 3/40 (pow x 3))))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* (pow x 3) (- 3/40 (* 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 x) (* x -1/6)) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -5/112 (pow x 5))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#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 (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 (+ (* (* (+ (* 3/40 (* x x)) -1/6) x) (* x x)) 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 x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* 3/40 (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (+ (* (* x x) (* x -1/6)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#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
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x x)
(fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))))
(+.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
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#s(approx (* (+ (* 3/40 (* x x)) -1/6) 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 3 binary64)))))
#s(approx (+ (* (* x x) (* x -1/6)) 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 (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (* x x)) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 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 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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))))))

eval40.0ms (1.1%)

Memory
-28.8MiB live, 62.7MiB allocated; 8ms collecting garbage
Compiler

Compiled 10 160 to 1 232 computations (87.9% saved)

prune10.0ms (0.3%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3320332
Fresh011
Picked055
Done022
Total3328340
Accuracy
100.0%
Counts
340 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.3%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
✓20.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓99.8%
(asinh.f64 x)
✓55.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
✓56.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
✓55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
▶55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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))))
✓56.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 154 to 94 computations (39% saved)

series13.0ms (0.4%)

Memory
-38.6MiB live, 14.9MiB allocated; 6ms collecting garbage
Counts
18 → 84
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.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))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 x))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* 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 (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* 1/36 (pow x 4)) 1))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2)))) 1))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40)))) 1))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* 1/36 (pow x 4)) 1)))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2)))) 1)))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40)))) 1)))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* -1/6 (pow x 2)) 1)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) 1)))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* 25/12544 (pow x 13))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* 25/12544 (pow x 12))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* 25/12544 (pow x 12))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -5/112 (pow x 5))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (+ (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (* 3/40 (/ 1 (pow x 2)))) 5/112))))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) 25/12544)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 -1/6 2 1 (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) -1)
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 -1/6 2 1 (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) -1)
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (+ (* -5/112 (* x x)) 3/40) -5/112 (* x x) x 3/40 -1/6 2 1 (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) -1)

rewrite164.0ms (4.7%)

Memory
42.5MiB live, 175.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02802891
03042681
112822669
083102597
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
102 → 234
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64))
#s(literal -5/112 binary64)
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.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))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 x))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* 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 (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* 1/36 (pow x 4)) 1))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2)))) 1))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40)))) 1))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 -1))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* 1/36 (pow x 4)) 1)))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2)))) 1)))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40)))) 1)))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* 1/36 (pow x 4))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 3/40 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* -1/6 (pow x 2)) 1)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) 1)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) 1)))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -5/112 (pow x 7))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* 25/12544 (pow x 13))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* 25/12544 (pow x 12))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* 25/12544 (pow x 12))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) #s(hole binary64 (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -5/112 (pow x 5))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* -5/112 (pow x 4))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2))))
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* -5/112 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) #s(hole binary64 (* (pow x 6) (- (+ (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (* 3/40 (/ 1 (pow x 2)))) 5/112))))
#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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) 25/12544)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) #s(hole binary64 (* -1 (* (pow x 13) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1 binary64)) x) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (fabs.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))) (exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))
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(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))) (exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
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#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -25/12544 binary64)) (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/40 binary64)))) (pow.f64 x #s(literal 13 binary64))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 25/12544 binary64)))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 25/12544 binary64) (*.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -25/12544 binary64)) (*.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -25/12544 binary64)) (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/40 binary64))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 25/12544 binary64)))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 25/12544 binary64) (*.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -25/12544 binary64)) (*.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) (*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -25/12544 binary64)) (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/40 binary64))))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/112 binary64)))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -5/112 binary64)))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -5/112 binary64)))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 6 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 (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (+ (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) (* x x)) -1)) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -25/12544 binary64)) (pow.f64 x #s(literal 13 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -25/12544 binary64)) (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 13 binary64)))))
#s(approx (* (- (pow (* (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) x) 2) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 3/448 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/40 binary64))) #s(literal 25/12544 binary64)) (/.f64 #s(literal 689/33600 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 13 binary64)))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -5/112 (* x x)) 3/40) (* x x)) -1/6) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))))

eval56.0ms (1.6%)

Memory
-26.6MiB live, 74.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 22 198 to 2 102 computations (90.5% saved)

prune10.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3971398
Fresh000
Picked101
Done077
Total3988406
Accuracy
100.0%
Counts
406 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.3%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))
✓20.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓99.8%
(asinh.f64 x)
✓55.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
✓56.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
✓55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
55.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (fma.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))))
✓56.7%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 462 to 161 computations (65.2% saved)

regimes12.0ms (0.3%)

Memory
-12.2MiB live, 34.7MiB allocated; 1ms collecting garbage
Counts
13 → 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)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) 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)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) 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))
(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)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (fma.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))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.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))))
Outputs
(asinh.f64 x)
Calls

3 calls:

5.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.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)

regimes7.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Accuracy

Total -1.3b remaining (-4.7%)

Threshold costs -1.3b (-4.7%)

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)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) 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)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) 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))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) 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
56.7%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
56.7%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
56.7%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify63.0ms (1.8%)

Memory
-27.9MiB live, 63.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11713
23913
38013
413013
533413
6265913
7673213
Stop Event
1×node limit
Calls
Call 1
Inputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Outputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

derivations52.0ms (1.5%)

Memory
17.3MiB live, 63.3MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess24.0ms (0.7%)

Memory
-3.3MiB live, 42.2MiB allocated; 6ms 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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