Hyperbolic arcsine

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze82.0ms (1%)

Memory
-4.2MiB live, 84.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample3.2s (37.9%)

Memory
40.7MiB live, 2 458.5MiB allocated
Samples
1.2s1 583×2valid
1.2s4 423×1valid
393.0ms2 250×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-log: 1.2s (47.5% of total)
ival-hypot: 1.0s (43% of total)
ival-add: 117.0ms (4.8% of total)
adjust: 96.0ms (3.9% of total)
ival-true: 7.0ms (0.3% of total)
exact: 6.0ms (0.2% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain268.0ms (3.1%)

Memory
-32.8MiB live, 176.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
670-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
590-0-(+.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)))))sensitivity1320
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue670
(*.f64 x x)overflow67
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow67
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation590
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))oflow-rescue10
(*.f64 x x)overflow67
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow67
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))overflow1
Confusion
Predicted +Predicted -
+2250
-031
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22500
-0031
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
031
1191
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms104×2valid
63.0ms266×1valid
11.0ms142×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-log: 77.0ms (62.2% of total)
ival-hypot: 24.0ms (19.4% of total)
adjust: 9.0ms (7.3% of total)
ival-add: 8.0ms (6.5% of total)
ival-mult: 5.0ms (4% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413819
518519
622619
723019
079
0129
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0.1%)

Memory
-34.5MiB live, 3.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
11633
01629
Stop Event
iter limit
saturated
iter limit
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
(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))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
x
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize66.0ms (0.8%)

Memory
38.0MiB live, 77.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy13.644837339267104
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy15.642129275206122
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy30.702823208382654
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
24.0ms52×2valid
24.0ms133×1valid
9.0ms71×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-log: 21.0ms (45.2% of total)
ival-hypot: 11.0ms (23.7% of total)
ival-mult: 6.0ms (12.9% of total)
adjust: 4.0ms (8.6% of total)
ival-add: 4.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.0MiB live, 8.1MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(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))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
2.0ms
x
@inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms
x
@-inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))

simplify132.0ms (1.5%)

Memory
9.4MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(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)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(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))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite156.0ms (1.8%)

Memory
7.0MiB live, 202.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01231
14431
229731
3316331
0877527
Stop Event
iter limit
node limit
iter limit
Counts
5 → 363
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(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))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.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 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.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)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (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 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.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 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
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(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(*.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)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval83.0ms (1%)

Memory
-2.2MiB live, 128.8MiB allocated
Compiler

Compiled 9 057 to 1 681 computations (81.4% saved)

prune12.0ms (0.1%)

Memory
-8.5MiB live, 30.5MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New38612398
Fresh000
Picked101
Done000
Total38712399
Accuracy
100.0%
Counts
399 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
17.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
2.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
26.1%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
24.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
23.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
11.8%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
25.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
Compiler

Compiled 354 to 262 computations (26% saved)

simplify103.0ms (1.2%)

Memory
19.2MiB live, 58.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(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)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
046194
171194
2126194
3202194
4228194
5266194
6412194
7783194
81366194
91881194
102065194
112111194
122126194
132133194
142133194
152133194
162133194
172136194
02136183
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(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)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) 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)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize140.0ms (1.6%)

Memory
10.1MiB live, 163.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
accuracy13.644837339267104
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy30.702823208382654
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy48.14479792270722
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy30.702823208382654
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy48.17053677245006
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy13.644837339267104
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy30.702823208382654
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy48.170325573235964
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy27.840302080019153
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
accuracy30.702823208382654
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.03515625
(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)
accuracy0.08203125
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
Samples
56.0ms133×1valid
49.0ms52×2valid
13.0ms71×0valid
Compiler

Compiled 338 to 52 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 22.0ms (23.7% of total)
ival-add: 13.0ms (14% of total)
ival-hypot: 12.0ms (12.9% of total)
adjust: 11.0ms (11.9% of total)
const: 10.0ms (10.8% of total)
ival-sub: 8.0ms (8.6% of total)
ival-mult: 7.0ms (7.5% of total)
ival-pow: 6.0ms (6.5% of total)
ival-div: 3.0ms (3.2% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-34.8MiB live, 9.8MiB allocated
Counts
19 → 47
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(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)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(*.f64 x x)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (* x x))
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (* x x))
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (* x x))

simplify125.0ms (1.5%)

Memory
43.7MiB live, 117.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146531
1410517
21101509
33348484
08258460
Stop Event
iter limit
node limit
Counts
47 → 46
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(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)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(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))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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))
(* -1 x)
(neg.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite472.0ms (5.5%)

Memory
-208.0MiB live, 184.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030180
046180
1172180
21246180
08469169
Stop Event
iter limit
node limit
iter limit
Counts
19 → 403
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(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)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 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)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(*.f64 x x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (-.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64)) #s(literal 27/64000 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (*.f64 x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #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 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3/40 binary64) x)) x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
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(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x (*.f64 x (neg.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (+.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (neg.f64 x)))) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x)) (*.f64 x (neg.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 x)) x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 x (neg.f64 x)) (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 x (neg.f64 x)))) (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 x (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(-.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (neg.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 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x x))

eval59.0ms (0.7%)

Memory
-0.4MiB live, 79.2MiB allocated
Compiler

Compiled 15 133 to 1 950 computations (87.1% saved)

prune15.0ms (0.2%)

Memory
-6.6MiB live, 32.1MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New4694473
Fresh167
Picked235
Done000
Total47213485
Accuracy
100.0%
Counts
485 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
17.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
2.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
26.1%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
24.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
23.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
11.8%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
25.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
4.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
Compiler

Compiled 411 to 285 computations (30.7% saved)

simplify163.0ms (1.9%)

Memory
15.4MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
cost-diff0
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035254
056254
196244
2175244
3282244
4348244
5779244
62752244
73313244
84013244
94218244
104305244
114321244
124331244
134558244
144838244
154838244
164838244
174838244
184840244
04840235
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (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 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) 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)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#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))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #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)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize157.0ms (1.8%)

Memory
8.2MiB live, 162.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
accuracy0.44768659714280273
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
accuracy30.702823208382654
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
accuracy48.313138923335266
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
accuracy0.0
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
accuracy13.644837339267104
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy30.702823208382654
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy46.77482372508099
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy30.702823208382654
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy46.44127628573375
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0234375
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
accuracy0.08203125
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy0.25390625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
accuracy0.03515625
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.08203125
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Samples
66.0ms133×1valid
52.0ms52×2valid
16.0ms71×0valid
Compiler

Compiled 443 to 65 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-log: 22.0ms (20.3% of total)
adjust: 20.0ms (18.5% of total)
ival-mult: 18.0ms (16.6% of total)
ival-add: 14.0ms (12.9% of total)
ival-hypot: 12.0ms (11.1% of total)
const: 10.0ms (9.2% of total)
ival-div: 9.0ms (8.3% of total)
ival-sub: 4.0ms (3.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-28.6MiB live, 11.5MiB allocated
Counts
21 → 59
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(pow x 3)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (/ 1/8 (* x x)))
3.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (/ 1/8 (* x x)))
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (* x x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ (- (/ 1/8 (* x x)) 1/2) x) (- (/ 1/8 (* x x)) 1/2) (* (* x x) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (/ 1/8 (* x x)))

simplify133.0ms (1.6%)

Memory
11.7MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158615
1423601
21162600
33550570
08398540
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(pow x 3)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(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)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
(pow x 2)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(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))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x)
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite179.0ms (2.1%)

Memory
44.8MiB live, 196.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035232
056222
1225222
21460222
08188209
Stop Event
iter limit
node limit
iter limit
Counts
21 → 573
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x x)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
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 (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 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 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(*.f64 (neg.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 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(*.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 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(*.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 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (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))
(pow.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64)) #s(literal 27/64000 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.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 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (*.f64 x x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 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)))))
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3/40 binary64) x)) x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (*.f64 x x)) x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) x) (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64)) #s(literal 27/64000 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3/40 binary64) x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) 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 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) 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)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (fma.f64 #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)
(fma.f64 x (*.f64 (*.f64 #s(literal 3/40 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(-.f64 (/.f64 (*.f64 x 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 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 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 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(+.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) (fma.f64 #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 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 8 binary64)))
(neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64)))

eval89.0ms (1%)

Memory
-28.0MiB live, 142.0MiB allocated
Compiler

Compiled 18 235 to 2 525 computations (86.2% saved)

prune22.0ms (0.3%)

Memory
0.8MiB live, 45.6MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New5795584
Fresh145
Picked145
Done033
Total58116597
Accuracy
100.0%
Counts
597 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
17.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
2.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
26.1%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
24.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
23.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
11.8%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
53.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
25.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
4.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
Compiler

Compiled 513 to 348 computations (32.2% saved)

simplify272.0ms (3.2%)

Memory
-2.1MiB live, 107.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff576
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff896
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 5 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
cost-diff0
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
cost-diff0
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff0
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
cost-diff0
(*.f64 #s(literal 3/40 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
045323
069294
1128294
2221280
3373280
4509280
51116279
62763279
76700279
08178279
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
#s(literal 3/40 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal 3/40 binary64)
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal 3/40 binary64) x)
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
(fma.f64 #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x)
#s(literal 3/40 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
#s(literal 3/40 binary64)
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize470.0ms (5.5%)

Memory
16.0MiB live, 256.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy15.057747868007446
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy15.642129275206122
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy29.476838168966385
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
accuracy30.702823208382654
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy0.0
(pow.f64 x #s(literal 5 binary64))
accuracy0.0546875
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
accuracy31.519054260227783
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy0.1953125
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
accuracy32.57079248002311
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
accuracy0.0234375
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
accuracy0.359375
(*.f64 #s(literal -1/6 binary64) x)
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
accuracy30.995899667044736
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
accuracy0.078125
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy0.24609375
(*.f64 #s(literal 3/40 binary64) x)
accuracy29.891288686013556
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
Samples
273.0ms197×1valid
125.0ms52×2valid
2.0ms0valid
Compiler

Compiled 570 to 88 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 365.0ms
ival-sub: 146.0ms (40% of total)
const: 46.0ms (12.6% of total)
adjust: 42.0ms (11.5% of total)
ival-log: 42.0ms (11.5% of total)
ival-mult: 31.0ms (8.5% of total)
ival-add: 25.0ms (6.8% of total)
ival-hypot: 19.0ms (5.2% of total)
ival-pow: 10.0ms (2.7% of total)
ival-div: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-12.7MiB live, 19.9MiB allocated
Counts
23 → 63
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal 3/40 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(pow.f64 x #s(literal 5 binary64))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 x)
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 5))
(pow x 5)
-1
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(- (pow x 2) 1)
(pow x 3)
(* 3/40 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* 3/40 x) x) -1/6) (* 3/40 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (* (pow x 5) 3/40) (pow x 5) (- (+ (* x x) -1) (* x x)) (log (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1))))) (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1)))) (+ (* x x) -1) (* (* x x) x) (* 3/40 (* x x)) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
3.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* 3/40 x) x) -1/6) (* 3/40 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (* (pow x 5) 3/40) (pow x 5) (- (+ (* x x) -1) (* x x)) (log (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1))))) (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1)))) (+ (* x x) -1) (* (* x x) x) (* 3/40 (* x x)) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))
2.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* 3/40 x) x) -1/6) (* 3/40 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (* (+ (* (* x x) 3/40) -1/6) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (+ (* 3/40 (* x x)) -1/6)) x) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (* (pow x 5) 3/40) (pow x 5) (- (+ (* x x) -1) (* x x)) (log (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1))))) (/ (- (+ (* x x) -1) (* x x)) (- x (sqrt (+ (* x x) 1)))) (+ (* x x) -1) (* (* x x) x) (* 3/40 (* x x)) (sqrt (+ (* x x) 1)) (- x (sqrt (+ (* x x) 1))))

simplify214.0ms (2.5%)

Memory
11.3MiB live, 109.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174679
1488665
21374664
34240632
08154596
Stop Event
iter limit
node limit
Counts
63 → 62
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 2)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(* 3/40 x)
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 5))
(pow x 5)
-1
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(- (pow x 2) 1)
(pow x 3)
(* 3/40 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(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)) (pow.f64 x #s(literal 3 binary64)) x)
(pow x 2)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(* 3/40 x)
(*.f64 #s(literal 3/40 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(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))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 3/40 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/40 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 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))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite243.0ms (2.9%)

Memory
-10.1MiB live, 245.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045279
069261
1283261
21682261
08481261
Stop Event
iter limit
node limit
iter limit
Counts
23 → 535
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal 3/40 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
(fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x)
#s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x)
#s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(pow.f64 x #s(literal 5 binary64))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))))
(*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal 1/6 binary64))))
(/.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 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
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eval100.0ms (1.2%)

Memory
27.1MiB live, 149.1MiB allocated
Compiler

Compiled 23 578 to 2 568 computations (89.1% saved)

prune30.0ms (0.4%)

Memory
-14.2MiB live, 74.1MiB allocated
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New6326638
Fresh134
Picked235
Done167
Total63618654
Accuracy
100.0%
Counts
654 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(log.f64 (/.f64 #s(approx (- (+ (* x x) -1) (* x x)) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
17.4%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
2.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
26.1%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
23.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
11.8%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
53.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
53.1%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
51.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
25.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
4.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
4.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
4.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
Compiler

Compiled 985 to 409 computations (58.5% saved)

regimes48.0ms (0.6%)

Memory
-16.9MiB live, 60.8MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(log.f64 (/.f64 #s(approx (- (+ (* x x) -1) (* x x)) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

31.0ms
x
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.6%3x
86.8%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
86.8%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(log.f64 (/.f64 #s(approx (- (+ (* x x) -1) (* x x)) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.4%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes49.0ms (0.6%)

Memory
-20.6MiB live, 18.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

37.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
6.0ms
x
5.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
76.7%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
76.7%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
77.1%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes13.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

4.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
60.0%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
60.0%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
60.4%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes43.0ms (0.5%)

Memory
-65.2MiB live, 19.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)))) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Calls

3 calls:

14.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.3%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
53.3%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
53.3%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
Calls

3 calls:

3.0ms
x
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
53.1%1x
53.1%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
53.1%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Accuracy

Total -31.0b remaining (-100.7%)

Threshold costs -31b (-100.7%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* 3/40 x) x) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) x) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) (*.f64 x x)) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) 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
51.9%1x
51.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
51.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch37.0ms (0.4%)

Memory
9.3MiB live, 46.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.155425672820158e-10
7.250153139022683
14.0ms
-922.5790009480942
-0.0011369011053889277
Samples
22.0ms304×0valid
Compiler

Compiled 770 to 559 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-hypot: 10.0ms (62.6% of total)
ival-log: 4.0ms (25% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-14.0MiB live, 21.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.155425672820158e-10
7.250153139022683
1.0ms
-922.5790009480942
-0.0011369011053889277
Samples
12.0ms64×0valid
Compiler

Compiled 770 to 549 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (44% of total)
ival-hypot: 1.0ms (44% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.155425672820158e-10
7.250153139022683
5.0ms
-922.5790009480942
-0.0011369011053889277
Samples
3.0ms48×0valid
Compiler

Compiled 716 to 513 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (56.9% of total)
ival-hypot: 1.0ms (56.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.155425672820158e-10
7.250153139022683
1.0ms
-922.5790009480942
-0.0011369011053889277
Compiler

Compiled 696 to 503 computations (27.7% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
4.155425672820158e-10
7.250153139022683
Compiler

Compiled 372 to 269 computations (27.7% saved)

bsearch6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
4.155425672820158e-10
7.250153139022683
Samples
3.0ms48×0valid
Compiler

Compiled 372 to 269 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (57.3% of total)
ival-hypot: 1.0ms (57.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify100.0ms (1.2%)

Memory
-22.6MiB live, 61.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071407
187407
2108407
3128407
4141407
5152407
6159407
7182407
8289407
93634407
107388407
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))
Outputs
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 3/40 (* x x)) -1/6) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x x) 3/40) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x) x))

soundness1.0s (11.9%)

Memory
11.5MiB live, 644.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158615
1423601
21162600
33550570
08398540
0125448
1353440
2938432
32928402
47103402
08159378
030180
046180
1172180
21246180
08469169
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 756 to 336 computations (55.6% saved)

preprocess66.0ms (0.8%)

Memory
-17.2MiB live, 139.6MiB allocated
Compiler

Compiled 880 to 190 computations (78.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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