Hyperbolic arcsine

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze56.0ms (1.3%)

Memory
-4.7MiB live, 18.7MiB 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)

sample1.5s (35.7%)

Memory
12.9MiB live, 298.0MiB allocated
Samples
608.0ms1 565×2valid
575.0ms4 398×1valid
117.0ms2 293×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-log: 601.0ms (54.8% of total)
ival-hypot: 323.0ms (29.4% of total)
adjust: 88.0ms (8% of total)
ival-add: 72.0ms (6.6% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain156.0ms (3.6%)

Memory
-1.0MiB live, 54.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
660-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
640-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1200
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue660
↳(*.f64 x x)overflow66
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow66
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation640
Confusion
Predicted +Predicted -
+2160
-040
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+21600
-0040
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
040
1182
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
49.674560546875
Average Time
0.19404125213623047
Samples
47.0ms278×1valid
37.0ms88×2valid
10.0ms146×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-log: 36.0ms (47.3% of total)
ival-hypot: 19.0ms (24.9% of total)
adjust: 8.0ms (10.5% of total)
ival-add: 7.0ms (9.2% of total)
ival-mult: 5.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.3%)

Memory
-3.2MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413719
518419
621119
721419
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶19.5%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify2.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB 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)

localize54.0ms (1.3%)

Memory
5.3MiB live, 12.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy15.145670469026992
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy15.420460032954175
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy28.03151539346399
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
23.0ms139×1valid
19.0ms44×2valid
5.0ms73×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 18.0ms (48% of total)
ival-hypot: 10.0ms (26.7% of total)
adjust: 4.0ms (10.7% of total)
ival-add: 4.0ms (10.7% of total)
ival-mult: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
4 → 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)))
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
1.0ms
x
@inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
1.0ms
x
@0
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
1.0ms
x
@-inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

simplify116.0ms (2.7%)

Memory
-5.2MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2931432
32896402
46992402
08028378
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 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (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))))

rewrite139.0ms (3.2%)

Memory
7.5MiB live, 53.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
14428
229728
3315528
0873824
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 355
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)))
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 (-.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 (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 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
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(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (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 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 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 (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 -1/2 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)))))

eval46.0ms (1.1%)

Memory
3.9MiB live, 33.3MiB allocated
Compiler

Compiled 8 971 to 1 641 computations (81.7% saved)

prune8.0ms (0.2%)

Memory
1.4MiB live, 16.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3837390
Fresh000
Picked101
Done000
Total3847391
Accuracy
100.0%
Counts
391 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
29.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
▶1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
▶25.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶28.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶47.4%
#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 180 to 136 computations (24.4% saved)

simplify35.0ms (0.8%)

Memory
-4.8MiB live, 3.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027153
039153
153153
263153
372153
476153
586153
6142153
7273153
8377153
9493153
10574153
11694153
12785153
13834153
14857153
15866153
16867153
0867143
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
Outputs
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x

localize110.0ms (2.5%)

Memory
-17.6MiB live, 25.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1/2 binary64) x)
accuracy28.03151539346399
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy46.88152338993326
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0
(neg.f64 x)
accuracy15.145670469026992
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy28.03151539346399
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy46.82713518547754
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy28.03151539346399
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy44.886604497136844
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy28.03151539346399
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
accuracy30.371093966983025
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0625
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Samples
58.0ms139×1valid
25.0ms44×2valid
10.0ms73×0valid
Compiler

Compiled 269 to 46 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-log: 18.0ms (31.7% of total)
ival-hypot: 10.0ms (17.6% of total)
adjust: 7.0ms (12.3% of total)
ival-pow: 5.0ms (8.8% of total)
ival-add: 5.0ms (8.8% of total)
const: 4.0ms (7% of total)
ival-mult: 3.0ms (5.3% of total)
ival-div: 2.0ms (3.5% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
16 → 39
Calls
Call 1
Inputs
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(+ (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))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (/ (- 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)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((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))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))
2.0ms
x
@inf
((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))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))
1.0ms
x
@0
((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))) (+ 1 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))

simplify125.0ms (2.9%)

Memory
0.2MiB live, 35.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132464
1369446
2995439
33149414
47806414
08388390
Stop Event
1×iter limit
1×node limit
Counts
39 → 38
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(+ (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))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (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 (/ (- 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)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -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 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #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 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite176.0ms (4.1%)

Memory
-1.9MiB live, 54.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027143
039143
1119143
2706143
37096143
09193133
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 352
Calls
Call 1
Inputs
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
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eval50.0ms (1.2%)

Memory
4.5MiB live, 30.6MiB allocated
Compiler

Compiled 12 204 to 1 459 computations (88% saved)

prune12.0ms (0.3%)

Memory
-7.5MiB live, 18.0MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3835388
Fresh022
Picked145
Done000
Total38411395
Accuracy
100.0%
Counts
395 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
29.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
✓25.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓28.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶4.1%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
▶47.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
▶47.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
▶47.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x))
▶47.4%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
Compiler

Compiled 265 to 191 computations (27.9% saved)

simplify5.0ms (0.1%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
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 (*.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-diff-5824
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) 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)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023174
036172
162154
268154
390154
491154
592154
092147
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
x
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 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
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) 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 x x) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 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
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize98.0ms (2.3%)

Memory
-0.9MiB live, 29.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy28.03151539346399
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
accuracy32.34852872917203
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy0.0625
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy0.08203125
(*.f64 (*.f64 x x) x)
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy0.04296875
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
accuracy0.10546875
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
accuracy0.30859375
(*.f64 #s(literal -1/6 binary64) x)
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x))
accuracy0
(*.f64 x x)
accuracy0.07421875
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
accuracy0.30859375
(*.f64 #s(literal -1/6 binary64) x)
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x))
accuracy0.0390625
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
accuracy0.10546875
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
accuracy0.30859375
(*.f64 #s(literal -1/6 binary64) x)
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
Samples
45.0ms139×1valid
26.0ms44×2valid
11.0ms73×0valid
Compiler

Compiled 312 to 44 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-log: 18.0ms (28.8% of total)
ival-mult: 13.0ms (20.8% of total)
ival-hypot: 10.0ms (16% of total)
adjust: 8.0ms (12.8% of total)
ival-add: 8.0ms (12.8% of total)
const: 4.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
15 → 33
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x))
(*.f64 x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
#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)
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
Outputs
1
(+ 1 (* -1/6 (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))))
(* -1/6 (pow x 2))
(* -1/6 x)
(pow x 2)
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+ (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))
(* 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))))
(+ (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))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* x x) (* -1/6 x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* -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))) (* x (+ 1 (* (* -1/6 x) x))))
2.0ms
x
@inf
((+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* x x) (* -1/6 x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* -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))) (* x (+ 1 (* (* -1/6 x) x))))
1.0ms
x
@0
((+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (* (* -1/6 x) x) (* -1/6 x) (log (+ x (sqrt (+ (* x x) 1)))) (* x x) (+ (* (* x x) (* -1/6 x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* -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))) (* x (+ 1 (* (* -1/6 x) x))))

simplify129.0ms (3%)

Memory
-0.2MiB live, 38.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111352
1301334
2784333
32362325
47639325
09029307
Stop Event
1×iter limit
1×node limit
Counts
33 → 32
Calls
Call 1
Inputs
1
(+ 1 (* -1/6 (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))))
(* -1/6 (pow x 2))
(* -1/6 x)
(pow x 2)
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+ (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))
(* 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))))
(+ (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))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) 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)
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -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)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(/ -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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #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)

rewrite168.0ms (3.9%)

Memory
-0.5MiB live, 55.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023150
036130
1136130
2682130
36442130
08038123
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 555
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x))
(*.f64 x x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
#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)
#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 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal -1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
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(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.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)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal -1/6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x)
(fma.f64 x (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.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)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))

eval26.0ms (0.6%)

Memory
7.6MiB live, 22.2MiB allocated
Compiler

Compiled 7 684 to 988 computations (87.1% saved)

prune6.0ms (0.1%)

Memory
-6.6MiB live, 10.6MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2641265
Fresh022
Picked505
Done134
Total2706276
Accuracy
100.0%
Counts
276 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶19.5%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶29.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓25.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓28.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶49.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify23.0ms (0.5%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
034116
145116
255116
364116
476116
5130116
6178116
7276116
8486116
9589116
10650116
11718116
12739116
13741116
0741113
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x))
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize106.0ms (2.5%)

Memory
2.8MiB live, 25.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy15.145670469026992
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy15.420460032954175
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy28.03151539346399
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy0
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
accuracy15.145670469026992
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
accuracy28.03151539346399
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
accuracy45.10126123343666
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
accuracy0.0390625
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
accuracy33.66959674197191
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
accuracy33.695060909590616
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
Samples
48.0ms139×1valid
35.0ms44×2valid
11.0ms73×0valid
Compiler

Compiled 212 to 44 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-log: 35.0ms (44.4% of total)
ival-hypot: 10.0ms (12.7% of total)
ival-mult: 9.0ms (11.4% of total)
adjust: 8.0ms (10.2% of total)
ival-add: 7.0ms (8.9% of total)
const: 5.0ms (6.3% of total)
ival-div: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
11 → 45
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 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)
(+ 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))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 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 (* 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
1.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (* x (+ 1 (* (* -1/6 x) x))) (+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
1.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (* x (+ 1 (* (* -1/6 x) x))) (+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1))
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (* x (+ 1 (* (* -1/6 x) x))) (+ 1 (* (* -1/6 x) x)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1))

simplify183.0ms (4.2%)

Memory
-2.6MiB live, 56.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137500
1378482
21008480
33183450
08801421
Stop Event
1×iter limit
1×node limit
Counts
45 → 44
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))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 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)
(+ 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))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 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 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (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
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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)
(+ 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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -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)
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #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 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(/ -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 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite123.0ms (2.8%)

Memory
0.8MiB live, 45.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024107
034107
1118107
2883107
08304104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 302
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))))) (*.f64 (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 x (/.f64 #s(literal -1/2 binary64) x))))))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 #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) (*.f64 x x))) (log.f64 (fma.f64 #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) (*.f64 x x))))) (+.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #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) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 (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 x (/.f64 #s(literal -1/2 binary64) x))))) (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 #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) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 #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) (*.f64 x x))) (log.f64 (fma.f64 #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) (*.f64 x x))) (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #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) (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 x x))) (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 #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) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #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) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.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 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (*.f64 x x)))

eval39.0ms (0.9%)

Memory
-1.0MiB live, 28.7MiB allocated
Compiler

Compiled 10 581 to 1 518 computations (85.7% saved)

prune8.0ms (0.2%)

Memory
-1.1MiB live, 14.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3410341
Fresh000
Picked033
Done033
Total3416347
Accuracy
100.0%
Counts
347 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓19.5%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓29.2%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
✓25.5%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓28.2%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓49.8%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
Compiler

Compiled 287 to 124 computations (56.8% saved)

regimes12.0ms (0.3%)

Memory
-0.3MiB live, 7.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (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 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
Calls

3 calls:

4.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.7%3x
86.4%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
86.4%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
Outputs
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes37.0ms (0.8%)

Memory
-9.0MiB live, 6.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

30.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.3%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
75.3%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
75.8%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
(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
56.4%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
56.4%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
56.9%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.2%)

Memory
-2.8MiB live, 5.1MiB allocated
Accuracy

Total -30.0b remaining (-93.4%)

Threshold costs -30b (-93.4%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) 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 (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
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
49.8%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
49.8%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
49.8%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch30.0ms (0.7%)

Memory
1.6MiB live, 9.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.6294961956178577e-9
2.2365017332086485
15.0ms
-4.1008296999198325e+22
-2.1432592792528553e-14
Samples
16.0ms320×0valid
Compiler

Compiled 710 to 558 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-hypot: 5.0ms (48.1% of total)
ival-log: 4.0ms (38.5% of total)
ival-add: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.6294961956178577e-9
2.2365017332086485
1.0ms
-4.1008296999198325e+22
-2.1432592792528553e-14
Samples
3.0ms64×0valid
Compiler

Compiled 692 to 549 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (49.4% of total)
ival-hypot: 1.0ms (49.4% 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
-7.1MiB live, 0.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.6294961956178577e-9
2.2365017332086485
Compiler

Compiled 318 to 252 computations (20.8% saved)

bsearch4.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
1.6294961956178577e-9
2.2365017332086485
Samples
2.0ms32×0valid
Compiler

Compiled 318 to 252 computations (20.8% saved)

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

simplify22.0ms (0.5%)

Memory
2.3MiB live, 18.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042209
151209
259209
365209
470209
572209
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 3602879701896397/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
Outputs
(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 3602879701896397/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (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 3602879701896397/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)) (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) 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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 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 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ 1 (* (* -1/6 x) x)) #s(literal 1 binary64)) x))

soundness571.0ms (13.2%)

Memory
-2.2MiB live, 5.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027143
039143
1119143
2706143
37096143
09193133
0111352
1301334
2784333
32362325
47639325
09029307
0125448
1353440
2931432
32896402
46992402
08028378
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 412 to 204 computations (50.5% saved)

preprocess37.0ms (0.9%)

Memory
2.9MiB live, 25.9MiB allocated
Compiler

Compiled 484 to 128 computations (73.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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