Hyperbolic arcsine

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.3MiB live, 0.1MiB allocated

analyze88.0ms (1%)

Memory
-11.9MiB live, 78.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.5s (28%)

Memory
26.0MiB live, 2 174.4MiB allocated
Samples
994.0ms4 454×1valid
894.0ms1 593×2valid
271.0ms2 209×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 879.0ms (52.2% of total)
ival-hypot: 595.0ms (35.4% of total)
adjust: 97.0ms (5.8% of total)
ival-add: 94.0ms (5.6% of total)
ival-true: 7.0ms (0.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain436.0ms (4.8%)

Memory
15.2MiB live, 226.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
610-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
560-0-(+.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)))))sensitivity1361
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue610
↳(*.f64 x x)overflow61
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow61
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation560
Confusion
Predicted +Predicted -
+2260
-030
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22600
-0129
Precision?
0.9955947136563876
Recall?
1.0
Freqs
test
numberfreq
030
1199
227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
258.0ms108×2valid
49.0ms264×1valid
11.0ms140×0valid
Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-log: 226.0ms (83% of total)
ival-hypot: 23.0ms (8.4% of total)
adjust: 9.0ms (3.3% of total)
ival-add: 8.0ms (2.9% of total)
ival-mult: 5.0ms (1.8% of total)
ival-true: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess75.0ms (0.8%)

Memory
-28.5MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413819
518519
622619
723019
079
0129
1169
0168
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
2.4MiB live, 2.4MiB 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)

localize63.0ms (0.7%)

Memory
28.8MiB live, 28.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy13.290372682045495
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy14.27334355765572
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy31.027994356401976
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
25.0ms54×2valid
24.0ms132×1valid
6.0ms70×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 22.0ms (49.3% of total)
ival-hypot: 12.0ms (26.9% of total)
adjust: 4.0ms (9% of total)
ival-add: 4.0ms (9% of total)
ival-mult: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series98.0ms (1.1%)

Memory
-33.6MiB live, 4.7MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
95.0ms
x
@-inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
2.0ms
x
@inf
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))
1.0ms
x
@0
((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x))

simplify144.0ms (1.6%)

Memory
19.1MiB live, 55.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite224.0ms (2.5%)

Memory
10.0MiB live, 126.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval127.0ms (1.4%)

Memory
4.1MiB live, 41.9MiB allocated
Compiler

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

prune63.0ms (0.7%)

Memory
-31.2MiB live, 22.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New38810398
Fresh000
Picked101
Done000
Total38910399
Accuracy
100.0%
Counts
399 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
17.1%
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶6.1%
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
17.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
▶1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
▶22.5%
(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)))
24.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶55.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
53.9%
#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 326 to 212 computations (35% saved)

simplify199.0ms (2.2%)

Memory
37.9MiB live, 110.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
cost-diff0
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
cost-diff704
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff896
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034220
056204
191204
2164190
3288186
4346186
5429186
6706186
71215186
81878186
92813186
104338186
116075186
127177186
137766186
147978186
08033186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (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)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)

localize293.0ms (3.2%)

Memory
-26.7MiB live, 130.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy14.27334355765572
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy14.466334029348282
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy28.659437359368777
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy31.08292174524231
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy31.027994356401976
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy48.508034546339815
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy13.290372682045495
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy31.027994356401976
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy48.45131196869973
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy26.992471860321697
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
accuracy31.027994356401976
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
accuracy0.00390625
(pow.f64 x #s(literal 3 binary64))
accuracy0.01953125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.078125
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy28.62830754607752
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Samples
178.0ms193×1valid
58.0ms54×2valid
2.0ms9×0valid
Compiler

Compiled 434 to 62 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-log: 68.0ms (32.2% of total)
ival-pow: 41.0ms (19.4% of total)
const: 35.0ms (16.6% of total)
adjust: 18.0ms (8.5% of total)
ival-hypot: 14.0ms (6.6% of total)
ival-add: 12.0ms (5.7% of total)
ival-mult: 7.0ms (3.3% of total)
ival-sub: 5.0ms (2.4% of total)
ival-div: 5.0ms (2.4% of total)
ival-neg: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
20 → 75
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
Calls

3 calls:

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

simplify133.0ms (1.5%)

Memory
0.8MiB live, 154.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195953
1564922
21586905
35012872
08164837
Stop Event
1×iter limit
1×node limit
Counts
75 → 74
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.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 x)
(neg.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(fma.f64 (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 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 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #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)))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* 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))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 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))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ (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 #s(literal 1/2 binary64)) (/.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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (* x (+ 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 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ 2 (* 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))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (/.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 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (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 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.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))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))

rewrite231.0ms (2.5%)

Memory
-14.2MiB live, 231.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034194
056194
1209169
21543169
08368169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 639
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/216 binary64))) (fma.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
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(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.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 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (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 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval87.0ms (1%)

Memory
30.0MiB live, 143.9MiB allocated
Compiler

Compiled 24 039 to 3 165 computations (86.8% saved)

prune24.0ms (0.3%)

Memory
-30.9MiB live, 48.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New7027709
Fresh235
Picked415
Done000
Total70811719
Accuracy
100.0%
Counts
719 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.6%
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
▶15.8%
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
3.4%
(neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)))))))))
17.1%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
▶11.3%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
22.5%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x))))
▶17.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
24.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶55.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
▶55.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
Compiler

Compiled 521 to 272 computations (47.8% saved)

simplify179.0ms (2%)

Memory
19.7MiB live, 139.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff0
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff64
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff64
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037360
065354
1111350
2176329
3366323
4574323
51044323
61627323
73071323
83981323
94563323
104997323
115641323
125829323
136330323
147951323
08320315
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 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))
x
#s(literal 1 binary64)
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
x
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 x (-.f64 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)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 3/40 binary64)
#s(literal -1/6 binary64)
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 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))
x
#s(literal 1 binary64)
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))) (log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(log1p.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
x
(*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))

localize392.0ms (4.3%)

Memory
-13.0MiB live, 435.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy14.27334355765572
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy14.466334029348282
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy14.781813225333643
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy39.50814559193828
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy13.290372682045495
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy14.27334355765572
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy31.027994356401976
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
accuracy27.18775086753678
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
accuracy31.08292174524231
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
accuracy0.03515625
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
accuracy0.078125
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy0.125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy28.62830754607752
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
accuracy0.015625
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
accuracy0.078125
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
accuracy0.234375
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
accuracy28.62830754607752
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
Samples
212.0ms193×1valid
138.0ms54×2valid
6.0ms9×0valid
Compiler

Compiled 734 to 74 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 318.0ms
ival-log: 91.0ms (28.6% of total)
ival-add: 67.0ms (21.1% of total)
const: 54.0ms (17% of total)
adjust: 31.0ms (9.8% of total)
ival-hypot: 26.0ms (8.2% of total)
ival-mult: 24.0ms (7.6% of total)
ival-sub: 9.0ms (2.8% of total)
ival-div: 7.0ms (2.2% of total)
ival-log1p: 6.0ms (1.9% of total)
ival-neg: 3.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-23.8MiB live, 24.0MiB allocated
Counts
22 → 144
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 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))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(* 2 x)
(* x (+ 2 (* -3/2 x)))
(* x (+ 2 (* x (- (* -4/3 x) 3/2))))
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* x (- (/ 1 x) 1))
(* 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) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+ (log 2) (log (/ 1 x)))
(- (+ (log 2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* 13/96 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) (* x x)) (neg (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))))) (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (- 1 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) (* x x)) x) x) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (- x (sqrt (+ (* x x) 1))))
5.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) (* x x)) (neg (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))))) (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (- 1 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) (* x x)) x) x) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (- x (sqrt (+ (* x x) 1))))
3.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) x) (+ (* (* x x) 3/40) -1/6) (* x x) (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) 3/40) -1/6) (* x x)) (neg (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))))) (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (- 1 x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (+ (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (log (+ 1 (+ (* x x) (* x (- x (sqrt (+ (* x x) 1))))))) (+ (* (* (+ (* (* x x) 3/40) -1/6) x) (* x x)) x) (+ (* (* (+ (* (* x x) 3/40) -1/6) (* x x)) x) x) (log (/ (+ (sqrt (+ (* x x) 1)) x) (+ (* x (- x (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (- x (sqrt (+ (* x x) 1))))

simplify166.0ms (1.8%)

Memory
41.3MiB live, 192.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03821890
111021817
232001782
080851686
Stop Event
1×iter limit
1×node limit
Counts
144 → 143
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))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (pow x 2))
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(* 2 x)
(* x (+ 2 (* -3/2 x)))
(* x (+ 2 (* x (- (* -4/3 x) 3/2))))
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* x (- (/ 1 x) 1))
(* 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) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+ (log 2) (log (/ 1 x)))
(- (+ (log 2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* 13/96 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (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 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* x (- (* 2 x) 1))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* -1/2 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(+ 1 (* x (- (* 2 x) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (* 3/2 x) 1))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/4 binary64) x #s(literal 7/6 binary64)) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -3/2 x)))
(*.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* -4/3 x) 3/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -3/2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal -4/3 binary64)) x #s(literal -3/2 binary64)) x #s(literal 2 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(* 3/40 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
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(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64) (log.f64 #s(literal 1/6 binary64)))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64) (/.f64 #s(literal 25/96 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64) (/.f64 #s(literal 25/96 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 13/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)

rewrite216.0ms (2.4%)

Memory
-31.0MiB live, 204.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037293
065259
1282234
22313234
08275229
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 831
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x))
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
(log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 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))
(fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) x)) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) x) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 3/40 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))
(fma.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
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(-.f64 (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (*.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x))) (log.f64 (*.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (*.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (pow.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (neg.f64 x) (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64))))) (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (pow.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (neg.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval192.0ms (2.1%)

Memory
26.5MiB live, 257.4MiB allocated
Compiler

Compiled 64 775 to 5 644 computations (91.3% saved)

prune76.0ms (0.8%)

Memory
-5.3MiB live, 72.9MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 37061 376
Fresh145
Picked235
Done011
Total1 373141 387
Accuracy
100.0%
Counts
1 387 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.6%
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
7.4%
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
▶15.5%
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
15.8%
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))))
▶17.1%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
✓11.3%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
22.5%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x))))
54.1%
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
▶55.5%
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
✓17.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶24.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓55.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
▶53.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 684 to 342 computations (50% saved)

simplify208.0ms (2.3%)

Memory
10.1MiB live, 196.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff64
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff192
(*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff896
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
cost-diff256
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
cost-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
cost-diff0
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044404
073397
1134338
2238332
3410332
4825332
52561332
65483332
08246322
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
(neg.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(+.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
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
x
(*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
(neg.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x)
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x) x)
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(+.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
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(log1p.f64 (fma.f64 x x (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 x x (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
x
(*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
#s(literal -1 binary64)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))

localize467.0ms (5.1%)

Memory
1.0MiB live, 487.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy14.466334029348282
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy14.781813225333643
(log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
accuracy28.713128106320944
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
accuracy39.50814559193828
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy0.05859375
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
accuracy13.290372682045495
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
accuracy14.27334355765572
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy31.08292174524231
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy31.027994356401976
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy47.23027955553686
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.03515625
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
accuracy0.125
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy28.62830754607752
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
accuracy29.806453141240766
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
accuracy0.0
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
accuracy0.0
(neg.f64 x)
accuracy28.484938299300325
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
Samples
198.0ms193×1valid
153.0ms54×2valid
3.0ms9×0valid
Compiler

Compiled 827 to 86 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 286.0ms
ival-log: 130.0ms (45.5% of total)
adjust: 36.0ms (12.6% of total)
ival-add: 30.0ms (10.5% of total)
ival-hypot: 21.0ms (7.3% of total)
ival-mult: 19.0ms (6.6% of total)
ival-div: 14.0ms (4.9% of total)
ival-sub: 11.0ms (3.8% of total)
const: 11.0ms (3.8% of total)
ival-log1p: 6.0ms (2.1% of total)
ival-neg: 6.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
23 → 137
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
(neg.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
(*.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
-1
(* x (- x 1))
(* x (- (* x (+ 1 (* -1/2 x))) 1))
(* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* x (+ 2 (* -3/2 x)))
(* x (+ 2 (* x (- (* -4/3 x) 3/2))))
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4))))
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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 2) (log (/ 1 x)))
(- (+ (log 2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* 13/96 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

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

simplify229.0ms (2.5%)

Memory
6.0MiB live, 120.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03561821
110241775
229651724
084441644
Stop Event
1×iter limit
1×node limit
Counts
137 → 136
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 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
-1/6
(- (* 3/40 (pow x 2)) 1/6)
(pow x 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
-1
(* x (- x 1))
(* x (- (* x (+ 1 (* -1/2 x))) 1))
(* x (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* x (+ 2 (* -3/2 x)))
(* x (+ 2 (* x (- (* -4/3 x) 3/2))))
(* x (+ 2 (* x (- (* x (- (* 3/4 x) 4/3)) 3/2))))
(* x (- (* 3/2 x) 1))
(* x (- (* x (+ 3/2 (* 7/6 x))) 1))
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (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)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4))))
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 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 2) (log (/ 1 x)))
(- (+ (log 2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* 13/96 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #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)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(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)) (neg.f64 x))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
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(+ 1 (* -1 x))
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(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)))
(* (pow x 2) (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 #s(literal 3/2 binary64) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)))
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x) #s(literal 3/2 binary64)))
(+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 1/6 binary64)))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (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 1/6 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (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 1/6 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
(+ (log 1/6) (* 3 (log (/ -1 x))))
(fma.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))
(- (+ (log 1/6) (* 3 (log (/ -1 x)))) (* 3/4 (/ 1 (pow x 2))))
(-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (* 3/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 25/96 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(- (+ (log 1/6) (+ (* 3 (log (/ -1 x))) (/ 25/96 (pow x 4)))) (+ (* 3/4 (/ 1 (pow x 2))) (* 13/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 25/96 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/6 binary64))) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 13/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal 3 binary64)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal 3 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))
(-.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)

rewrite365.0ms (4%)

Memory
-16.4MiB live, 270.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044314
073274
1308221
22874221
08799214
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 839
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
(neg.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
(*.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal -1 binary64) #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
(*.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)) #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)) (*.f64 #s(literal 0 binary64) #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))))))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))))
#s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 x (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) x (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x x) x (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 x (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(fma.f64 x (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)))
(*.f64 x (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) x))
#s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(*.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 #s(literal -1 binary64)))
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(/.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(fma.f64 x (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval391.0ms (4.3%)

Memory
35.2MiB live, 381.4MiB allocated
Compiler

Compiled 59 706 to 5 296 computations (91.1% saved)

prune126.0ms (1.4%)

Memory
-56.4MiB live, 64.0MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New1 12541 129
Fresh055
Picked145
Done044
Total1 126171 143
Accuracy
100.0%
Counts
1 143 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.6%
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
7.4%
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
15.5%
(+.f64 (log1p.f64 (fma.f64 x x (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
15.8%
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))))
13.8%
(neg.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))))
✓17.1%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
17.8%
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓11.3%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
22.5%
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x))))
31.5%
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
54.1%
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
✓55.5%
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
✓17.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
✓11.9%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓24.4%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓55.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
✓53.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 1 140 to 397 computations (65.2% saved)

regimes49.0ms (0.5%)

Memory
-13.6MiB live, 25.4MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log1p.f64 (fma.f64 x x (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(neg.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (fma.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x #s(literal 1 binary64))))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))))
(neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (log1p.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)))))))))
Outputs
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x))))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

32.0ms
x
7.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.5%3x
89.4%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
89.4%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes11.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Outputs
(neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
81.1%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
81.1%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
84.6%3x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
78.0%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
78.0%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
78.3%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
61.6%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
61.6%2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
62.0%2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Accuracy

Total -16.6b remaining (-58.3%)

Threshold costs -16.6b (-58.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 3/40) -1/6) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x x)) x x))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
Outputs
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
55.5%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
55.5%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
55.5%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch62.0ms (0.7%)

Memory
-1.5MiB live, 37.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.0025369713765592107
1248924509.5601268
43.0ms
-520301289396988350.0
-0.42277014865226487
Samples
18.0ms304×0valid
2.0ms16×1valid
Compiler

Compiled 1 162 to 709 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-hypot: 6.0ms (46.5% of total)
ival-log: 4.0ms (31% of total)
ival-add: 2.0ms (15.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-29.5MiB live, 8.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0025369713765592107
1248924509.5601268
12.0ms
-520301289396988350.0
-0.42277014865226487
Samples
2.0ms32×0valid
Compiler

Compiled 1 162 to 709 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-hypot: 1.0ms (81.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0025369713765592107
1248924509.5601268
Compiler

Compiled 372 to 269 computations (27.7% saved)

bsearch8.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
0.0025369713765592107
1248924509.5601268
Samples
4.0ms64×0valid
Compiler

Compiled 372 to 269 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (42.9% of total)
ival-hypot: 1.0ms (42.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify70.0ms (0.8%)

Memory
-8.9MiB live, 33.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063271
193271
2122241
3167231
4450221
52094221
64265221
76424221
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x)))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))
Outputs
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (*.f64 #s(literal -2 binary64) x)))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x)))) (-.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/112 binary64) (*.f64 x x) #s(literal -3/40 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 #s(approx (log (/ (- (sqrt (+ (* x x) 1)) x) (+ (* x x) (- 1 (* x x))))) (neg.f64 x)))

soundness920.0ms (10.1%)

Memory
4.5MiB live, 679.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
03821890
111021817
232001782
080851686
0195953
1564922
21586905
35012872
08164837
0731
01231
14431
229731
3316331
0877527
034194
056194
1209169
21543169
08368169
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 424 to 191 computations (55% saved)

preprocess62.0ms (0.7%)

Memory
12.0MiB live, 86.2MiB allocated
Compiler

Compiled 608 to 170 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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