Hyperbolic arcsine

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze73.0ms (0.7%)

Memory
-15.6MiB live, 102.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.5s (25.9%)

Memory
67.9MiB live, 2 110.7MiB allocated
Samples
1.1s1 619×2valid
793.0ms4 424×1valid
299.0ms2 213×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log: 843.0ms (48.1% of total)
ival-hypot: 618.0ms (35.2% of total)
ival-add: 174.0ms (9.9% of total)
adjust: 103.0ms (5.9% of total)
ival-true: 7.0ms (0.4% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain217.0ms (2.2%)

Memory
-17.6MiB live, 198.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1430-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
581(-7.300423845820883)0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
560-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1430
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation590
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue560
↳(*.f64 x x)overflow56
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow56
Confusion
Predicted +Predicted -
+2271
-127
Precision
0.9956140350877193
Recall
0.9956140350877193
Confusion?
Predicted +Predicted MaybePredicted -
+22701
-1027
Precision?
0.9956140350877193
Recall?
0.9956140350877193
Freqs
test
numberfreq
028
1198
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms286×1valid
51.0ms104×2valid
9.0ms122×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 46.0ms (49.7% of total)
ival-hypot: 23.0ms (24.8% of total)
adjust: 9.0ms (9.7% of total)
ival-add: 8.0ms (8.6% of total)
ival-mult: 5.0ms (5.4% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory
-25.7MiB live, 12.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413819
518519
622619
723019
079
0129
1169
0168
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.0%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize67.0ms (0.7%)

Memory
11.4MiB live, 53.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy13.036165972954176
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy13.479961088457618
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy32.80061421174185
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
30.0ms143×1valid
25.0ms52×2valid
5.0ms61×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-log: 21.0ms (43.4% of total)
ival-hypot: 16.0ms (33.1% of total)
adjust: 4.0ms (8.3% of total)
ival-add: 4.0ms (8.3% of total)
ival-mult: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.3MiB live, 12.4MiB 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
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
@0
((+ (* 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))

simplify140.0ms (1.4%)

Memory
-1.6MiB live, 153.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
Stop Event
1×iter limit
1×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))))

rewrite166.0ms (1.7%)

Memory
16.4MiB live, 249.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01231
14431
229731
3316331
0877527
Stop Event
1×iter limit
1×node limit
1×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 #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)))

eval112.0ms (1.2%)

Memory
-22.9MiB live, 107.6MiB allocated
Compiler

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

prune138.0ms (1.4%)

Memory
-16.0MiB live, 23.5MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New38414398
Fresh000
Picked101
Done000
Total38514399
Accuracy
100.0%
Counts
399 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
▶63.7%
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
7.1%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
7.1%
(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))))))
17.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶16.6%
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
▶1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
21.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶11.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
20.6%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
57.9%
#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))
▶56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Compiler

Compiled 470 to 304 computations (35.3% saved)

simplify133.0ms (1.4%)

Memory
33.0MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff0
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #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)) #s(literal -1/6 binary64) 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
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff64
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035258
059255
184255
2118255
3180255
4253255
5469255
6769255
71292255
81936255
92187255
102523255
113139255
123433255
133583255
143782255
153782255
03782255
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 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
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(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)
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
x
(/.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)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 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
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #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)
#s(literal -1/6 binary64)
(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)
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
x
(/.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)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

localize818.0ms (8.4%)

Memory
7.1MiB live, 280.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy13.036165972954176
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy13.063509722954176
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy13.479961088457618
(+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy32.80061421174185
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy0.00390625
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
accuracy13.479961088457618
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy32.80061421174185
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy48.212095440246806
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.046875
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy27.807272934889674
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy25.513437936942733
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
accuracy32.80061421174185
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
accuracy13.036165972954176
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy13.541556214389107
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy13.575044780005364
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy26.867242814840512
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
Samples
430.0ms194×1valid
319.0ms55×2valid
40.0ms7×0valid
Compiler

Compiled 524 to 66 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 711.0ms
ival-pow: 399.0ms (56.1% of total)
ival-hypot: 127.0ms (17.9% of total)
ival-log: 72.0ms (10.1% of total)
ival-sub: 43.0ms (6% of total)
adjust: 24.0ms (3.4% of total)
ival-add: 18.0ms (2.5% of total)
ival-mult: 9.0ms (1.3% of total)
ival-div: 7.0ms (1% of total)
ival-log1p: 6.0ms (0.8% of total)
const: 6.0ms (0.8% of total)
exact: 1.0ms (0.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
-30.0MiB live, 8.0MiB allocated
Counts
20 → 95
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(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)
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 x (/.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)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(pow x 3)
(+ 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 (pow x 2)) 1/2) x)
(+ 1 (pow x 2))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (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 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (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 (/ (- 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 (* (pow x 3) (- 1/6 (/ 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)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
Calls

3 calls:

TimeVariablePointExpression
37.0ms
x
@0
((+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (+ (pow (+ (* x x) 1) 3/2) (pow x 3)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (sqrt (+ (* x x) 1)))
5.0ms
x
@-inf
((+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (+ (pow (+ (* x x) 1) 3/2) (pow x 3)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (sqrt (+ (* x x) 1)))
4.0ms
x
@inf
((+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (+ (pow (+ (* x x) 1) 3/2) (pow x 3)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x) (log (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))))) (+ x (/ (+ (* x x) 1) (sqrt (+ (* x x) 1)))) (/ (+ (* x x) 1) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (sqrt (+ (* x x) 1)))

simplify238.0ms (2.4%)

Memory
-0.3MiB live, 117.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03071336
19021259
226411183
379851183
080041110
Stop Event
1×iter limit
1×node limit
Counts
95 → 94
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(pow x 3)
(+ 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 (pow x 2)) 1/2) x)
(+ 1 (pow x 2))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (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 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (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 (/ (- 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 (* (pow x 3) (- 1/6 (/ 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)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- (* 2 x) 1))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
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)
(* 3/2 (pow x 2))
(*.f64 #s(literal 3/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 3/2 x))
(*.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) x) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal -3/4 binary64)) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(fma.f64 (+.f64 #s(literal 3/2 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) (*.f64 x x) #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 3)
(pow.f64 x #s(literal 3 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))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(neg.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* x (- (* 3/2 x) 1))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 7/6 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) x (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 x x) #s(literal -1/2 binary64)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal 2 binary64)))
(* 2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x 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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x 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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) x)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (neg.f64 x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* -2 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x) x (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal 3/2 binary64))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 3/2 binary64))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64))) (/.f64 #s(literal 7/96 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64))) (/.f64 #s(literal 7/96 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3/2 binary64) x))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/128 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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 (+.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))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 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 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (/.f64 #s(literal 1 binary64) x) #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)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) x))))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal 3 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))

rewrite322.0ms (3.3%)

Memory
34.7MiB live, 192.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035208
059200
1233200
21863190
09484190
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 631
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(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)
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 x (/.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)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) x) (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))) (pow.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))) (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))) (neg.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))) (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (/.f64 x (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 x x))
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(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 x) (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.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 1/4 binary64))) (/.f64 (pow.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 1/4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #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))) (sqrt.f64 (pow.f64 (fma.f64 x 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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.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)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 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 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 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 (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 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (*.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)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (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)))) (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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.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))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (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)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (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)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x 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) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.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 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval146.0ms (1.5%)

Memory
-14.8MiB live, 216.5MiB allocated
Compiler

Compiled 32 024 to 4 089 computations (87.2% saved)

prune48.0ms (0.5%)

Memory
19.3MiB live, 67.0MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New9746980
Fresh369
Picked235
Done000
Total97915994
Accuracy
100.0%
Counts
994 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.6%
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
7.1%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
7.1%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
17.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓16.6%
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
▶21.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓11.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
20.6%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
57.9%
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
▶56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
▶56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
Compiler

Compiled 477 to 310 computations (35% saved)

simplify91.0ms (0.9%)

Memory
-5.6MiB live, 69.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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
(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-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x 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) #s(literal -1/6 binary64) x))
cost-diff-5824
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
cost-diff0
(*.f64 x x)
cost-diff0
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
cost-diff0
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff64
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036261
062258
197245
2139245
3203245
4274245
5545245
6894245
71438245
81944245
92085245
102138245
112166245
122185245
132212245
142216245
02216245
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 x x)
x
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(*.f64 #s(literal -1/6 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) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
(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 (+.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)
Outputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 x x)
x
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 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) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
(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 (+.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)

localize572.0ms (5.9%)

Memory
-10.6MiB live, 587.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
accuracy13.479961088457618
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy32.80061421174185
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy49.804374707136475
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy0.0
(neg.f64 x)
accuracy13.479961088457618
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy32.80061421174185
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy48.07276208950586
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy0.0
(*.f64 x x)
accuracy0.046875
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy0.078125
(*.f64 (*.f64 x x) x)
accuracy27.807272934889674
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.04296875
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
accuracy0.609562060151183
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy27.807272934889674
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
accuracy13.036165972954176
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy13.510389365628175
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
accuracy13.575044780005364
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy26.867242814840512
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
Samples
253.0ms54×2valid
249.0ms195×1valid
20.0ms7×0valid
Compiler

Compiled 518 to 66 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-pow: 230.0ms (46.9% of total)
ival-log: 114.0ms (23.3% of total)
adjust: 53.0ms (10.8% of total)
ival-add: 36.0ms (7.3% of total)
ival-mult: 16.0ms (3.3% of total)
ival-hypot: 12.0ms (2.4% of total)
ival-log1p: 11.0ms (2.2% of total)
ival-sub: 7.0ms (1.4% of total)
const: 6.0ms (1.2% of total)
ival-div: 3.0ms (0.6% of total)
ival-neg: 1.0ms (0.2% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
21 → 94
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) 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 (+.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))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(pow x 2)
(* -1/6 (pow x 2))
(pow x 3)
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)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 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)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -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 (* 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)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
Calls

3 calls:

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

simplify151.0ms (1.5%)

Memory
-18.6MiB live, 173.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021330
18771257
226031185
377561178
081591114
Stop Event
1×iter limit
1×node limit
Counts
94 → 93
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(pow x 2)
(* -1/6 (pow x 2))
(pow x 3)
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)))))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 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)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -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 (* 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)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- (* 2 x) 1))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
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)
(* 3/2 (pow x 2))
(*.f64 #s(literal 3/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 3/2 x))
(*.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) x) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal -3/4 binary64)) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 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 (*.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))
(/ 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)
(* x (- (* 3/2 x) 1))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 7/6 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 3/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(fma.f64 (+.f64 #s(literal 3/2 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) x (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 x x) #s(literal -1/2 binary64)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal 2 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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x 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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x 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 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) 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 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(* -2 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x) x (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal 3 binary64)) (log.f64 #s(literal 3/2 binary64))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 3/2 binary64))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 3/2 binary64))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 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))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 3 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 3/2 binary64))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64))) (/.f64 #s(literal 7/96 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 3/2 binary64))) (/.f64 #s(literal 7/96 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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 (+.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))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.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)))) x))
(/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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 -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.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 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 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 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (log.f64 #s(literal 3 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 3/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) x)

rewrite210.0ms (2.2%)

Memory
-24.4MiB live, 199.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036216
062200
1241200
21718200
08260200
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 407
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) 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 (+.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))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) x) (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (*.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))) (pow.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))) (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 x (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))) (neg.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (-.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
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(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.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 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #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))) (sqrt.f64 (pow.f64 (fma.f64 x 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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 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 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 (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 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 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 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval91.0ms (0.9%)

Memory
2.2MiB live, 86.4MiB allocated
Compiler

Compiled 18 236 to 2 065 computations (88.7% saved)

prune37.0ms (0.4%)

Memory
2.0MiB live, 41.4MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New4893492
Fresh167
Picked145
Done033
Total49116507
Accuracy
100.0%
Counts
507 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.6%
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
7.1%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
▶7.1%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
17.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓16.6%
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
✓1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓21.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓11.0%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶20.6%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
4.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
▶57.9%
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
✓56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
▶56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
✓56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
Compiler

Compiled 434 to 284 computations (34.6% saved)

simplify184.0ms (1.9%)

Memory
19.5MiB live, 139.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
cost-diff576
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff896
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
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-diff-5824
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
cost-diff0
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
cost-diff0
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048296
079282
1136280
2229266
3399265
4532265
51070265
61911265
73952265
85614265
96519265
107221265
08166263
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 x x)
x
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 x x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(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
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 x x)
x
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(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
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (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 #s(literal 3/40 binary64) (*.f64 x x) #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))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

localize730.0ms (7.5%)

Memory
-6.7MiB live, 582.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy11.972357803588789
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy13.036165972954176
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy25.917841996022066
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
accuracy32.80061421174185
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy0.0
(*.f64 x x)
accuracy0.03125
(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)
accuracy0.47347552122836245
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy26.94086378582898
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy32.80061421174185
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy49.61608763342198
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.04296875
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
accuracy0.12890625
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
accuracy0.328125
(*.f64 #s(literal -1/6 binary64) x)
accuracy27.807272934889674
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
accuracy13.036165972954176
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy13.510389365628175
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
accuracy13.575044780005364
(log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
accuracy26.867242814840512
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
Samples
352.0ms194×1valid
305.0ms55×2valid
3.0ms7×0valid
Compiler

Compiled 604 to 95 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 608.0ms
ival-pow: 346.0ms (56.9% of total)
ival-log: 109.0ms (17.9% of total)
adjust: 32.0ms (5.3% of total)
ival-mult: 32.0ms (5.3% of total)
ival-add: 26.0ms (4.3% of total)
ival-sub: 18.0ms (3% of total)
ival-log1p: 13.0ms (2.1% of total)
const: 13.0ms (2.1% of total)
ival-hypot: 12.0ms (2% of total)
ival-div: 4.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
23 → 114
Calls
Call 1
Inputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 x x)
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
(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(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
(-.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 (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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x #s(literal 1 binary64))
(log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) 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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(pow x 2)
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* -1/16 (pow x 2)))))))
(* -1/6 (pow x 2))
(* -1/6 x)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(+ 1 (pow x 2))
(* -1 x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 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 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(* (pow x 3) (+ 1 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (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)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))
(* 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)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 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)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))))
(+ (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 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -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 (* (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))))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
(* -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)))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((- (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x)))) (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (* x x) (pow (+ (* x x) 1) 3/2) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x))) (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))
4.0ms
x
@-inf
((- (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x)))) (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (* x x) (pow (+ (* x x) 1) 3/2) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x))) (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))
3.0ms
x
@0
((- (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x)))) (log (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2))) (* x x) (pow (+ (* x x) 1) 3/2) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (+ (* (* (* -1/6 x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (- (+ (* x x) 1) (* x x)) (log (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x))) (/ (- (+ (* x x) 1) (* x x)) (- (sqrt (+ (* x x) 1)) x)) (+ (* x x) 1) (log (+ 1 (* (- (+ x x) (sqrt (+ (* x x) 1))) x))) (+ (* (* x x) x) (pow (+ (* x x) 1) 3/2)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) x))

simplify252.0ms (2.6%)

Memory
-4.3MiB live, 154.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241540
19481466
228901419
374701402
081301330
Stop Event
1×iter limit
1×node limit
Counts
114 → 113
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))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 x))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(pow x 2)
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* -1/16 (pow x 2)))))))
(* -1/6 (pow x 2))
(* -1/6 x)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(+ 1 (pow x 2))
(* -1 x)
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(+ 1 (* (pow x 2) (+ 3/2 x)))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 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 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(+ (log 2) (* -3 (log (/ 1 x))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))
(* (pow x 3) (+ 1 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (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)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 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))))
(* 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)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(* 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)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 3/2) (* -1 (log (/ -1 x))))
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))))
(+ (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 3) (- 1/6 (/ 1 (pow x 2)))))
(/ -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 (* (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))))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))
(* -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)))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 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 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 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 (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)
(* 3/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/2 binary64))
(* (pow x 2) (+ 3/2 x))
(*.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) x) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal -3/4 binary64)) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) x) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 3/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* -1/16 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 #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))
(* 2 x)
(*.f64 #s(literal 2 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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 3/2 x) 1))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 7/6 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(+ 1 (* (pow x 2) (+ 3/2 x)))
(fma.f64 (+.f64 #s(literal 3/2 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1 binary64)) x #s(literal 3/2 binary64)) (*.f64 x 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))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 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) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(-.f64 (+.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
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(* -1 (pow x 3))
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(* -1 (* (pow x 3) (+ 1 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))))
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rewrite263.0ms (2.7%)

Memory
-18.4MiB live, 179.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048245
079238
1346211
22593211
08903209
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 544
Calls
Call 1
Inputs
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
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(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
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(-.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 (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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 x x #s(literal 1 binary64))
(log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
Outputs
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (+.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (pow.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.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 3/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #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))) (sqrt.f64 (pow.f64 (fma.f64 x 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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 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 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 (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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 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 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.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 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))

eval126.0ms (1.3%)

Memory
6.0MiB live, 126.0MiB allocated
Compiler

Compiled 27 904 to 3 323 computations (88.1% saved)

prune44.0ms (0.5%)

Memory
-4.9MiB live, 68.7MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New8356841
Fresh224
Picked325
Done347
Total84314857
Accuracy
100.0%
Counts
857 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
18.1%
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
18.0%
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
17.0%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
✓21.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
23.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
20.6%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
57.9%
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
57.9%
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
5.0%
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))))
✓56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
✓56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
✓56.6%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
Compiler

Compiled 907 to 328 computations (63.8% saved)

regimes28.0ms (0.3%)

Memory
9.4MiB live, 44.4MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (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))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
Calls

3 calls:

12.0ms
x
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
7.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%3x
89.8%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
89.8%4(+.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
22.7MiB live, 22.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (+.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (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))))))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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
99.0%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.8%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes41.0ms (0.4%)

Memory
-44.4MiB live, 9.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x)))
Calls

3 calls:

33.0ms
x
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms
(+.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)

regimes9.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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:

3.0ms
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
63.1%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
63.1%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
63.4%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1)))))))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
Outputs
#s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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:

3.0ms
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
57.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
57.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
57.9%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes18.0ms (0.2%)

Memory
-26.0MiB live, 13.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.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(literal -1/6 binary64) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
Calls

3 calls:

14.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
x
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
56.6%1x
56.6%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
56.6%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch28.0ms (0.3%)

Memory
30.1MiB live, 30.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1958.2692640080384
6936898145.692139
19.0ms
-6.847288782333869e+26
-27.96331625289286
Samples
12.0ms208×0valid
4.0ms32×1valid
Compiler

Compiled 582 to 395 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-hypot: 5.0ms (49.8% of total)
ival-log: 3.0ms (29.9% of total)
ival-add: 1.0ms (10% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch72.0ms (0.7%)

Memory
-0.2MiB live, 37.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.03502701313008737
20.880383837588493
57.0ms
-7.300423845820883
-0.313043702797806
Samples
13.0ms240×0valid
Compiler

Compiled 883 to 557 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-hypot: 4.0ms (46.8% of total)
ival-log: 3.0ms (35.1% of total)
ival-add: 1.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-28.6MiB live, 10.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
0.03502701313008737
20.880383837588493
1.0ms
-7.300423845820883
-0.313043702797806
Samples
25.0ms64×0valid
Compiler

Compiled 867 to 541 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-log: 22.0ms (93.8% of total)
ival-hypot: 1.0ms (4.3% 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)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.03502701313008737
20.880383837588493
Compiler

Compiled 468 to 289 computations (38.2% saved)

bsearch4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.03502701313008737
20.880383837588493
Samples
2.0ms32×0valid
Compiler

Compiled 468 to 297 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-hypot: 1.0ms (89% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify310.0ms (3.2%)

Memory
9.6MiB live, 52.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070391
194391
2130391
3194391
4274391
5432391
6779391
75106391
86602391
97558391
107718391
117884391
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -10000 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5000000 binary64)) (-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x 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 1 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 5854679515581645/4503599627370496 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 #s(literal -1/6 binary64) (*.f64 x x)) x x))
Outputs
(if (<=.f64 x #s(literal -10000 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5000000 binary64)) (-.f64 (log.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x 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 1 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 5854679515581645/4503599627370496 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 x x))))
(if (<=.f64 x #s(literal 3422735716801577/2251799813685248 binary64)) #s(approx (- (log (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 (+ (pow (+ (* x x) 1) 3/2) (pow x 3))) (log (+ 1 (+ (* x x) (* x (- 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 #s(literal -1/6 binary64) (*.f64 x x)) x x))

soundness1.1s (11.5%)

Memory
15.1MiB live, 648.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
048245
079238
1346211
22593211
08903209
0731
01231
14431
229731
3316331
0877527
03071336
19021259
226411183
379851183
080041110
036216
062200
1241200
21718200
08260200
035208
059200
1233200
21863190
09484190
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 919 to 398 computations (56.7% saved)

preprocess57.0ms (0.6%)

Memory
-12.1MiB live, 63.6MiB allocated
Compiler

Compiled 868 to 186 computations (78.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...