Hyperbolic arcsine

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze171.0ms (2.5%)

Memory
-31.5MiB live, 164.6MiB 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)

sample3.2s (47%)

Memory
-78.3MiB live, 3 112.1MiB allocated
Samples
1.7s4 429×1valid
992.0ms1 656×2valid
235.0ms2 171×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-hypot: 1.3s (51.7% of total)
ival-log: 912.0ms (35.4% of total)
adjust: 205.0ms (8% of total)
ival-add: 110.0ms (4.3% of total)
ival-true: 6.0ms (0.2% of total)
exact: 6.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain250.0ms (3.6%)

Memory
-11.4MiB live, 323.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
650-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
640-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1320
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue650
↳(*.f64 x x)overflow65
↳(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow65
+.f64(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))cancellation640
Confusion
Predicted +Predicted -
+2290
-027
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+22900
-0027
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
027
1197
232
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms116×2valid
74.0ms274×1valid
21.0ms122×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-log: 80.0ms (51.1% of total)
ival-hypot: 37.0ms (23.6% of total)
adjust: 25.0ms (16% of total)
ival-add: 8.0ms (5.1% of total)
ival-mult: 5.0ms (3.2% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess43.0ms (0.6%)

Memory
-4.9MiB live, 38.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12221
24721
35821
47321
079
0129
1209
2399
3669
4819
0818
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶15.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff1
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12033
23933
36633
48133
08129
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)

localize167.0ms (2.4%)

Memory
-16.8MiB live, 172.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy14.836098620885545
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy15.157607412369765
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy30.903909919405493
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
80.0ms137×1valid
75.0ms58×2valid
5.0ms61×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-log: 69.0ms (46.7% of total)
adjust: 60.0ms (40.6% of total)
ival-hypot: 12.0ms (8.1% of total)
ival-add: 4.0ms (2.7% of total)
ival-mult: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

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

simplify229.0ms (3.3%)

Memory
9.4MiB live, 199.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1384440
21149432
34065428
08153409
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)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #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 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.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 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.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)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.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 (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(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)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)
(+ (log 1/2) (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 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/16 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 (/.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)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(*.f64 x (-.f64 #s(literal -1 binary64) (-.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))))))

rewrite254.0ms (3.7%)

Memory
-43.0MiB live, 170.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01218
15118
236016
3442116
0816015
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 372
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 (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 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 #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 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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #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 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.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 #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 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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))))
(*.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))
(*.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)) (/.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)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) #s(literal 4 binary64))
(pow.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (cosh.f64 (asinh.f64 x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sinh.f64 (acosh.f64 (*.f64 x x)))) (sinh.f64 (acosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 2 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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sinh.f64 (acosh.f64 x))))
(/.f64 (pow.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.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 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 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 (pow.f64 x #s(literal 12 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 (pow.f64 x #s(literal 18 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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #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)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.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))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #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)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)))
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(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval93.0ms (1.4%)

Memory
-1.1MiB live, 52.9MiB allocated
Compiler

Compiled 8 645 to 1 829 computations (78.8% saved)

prune6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4034407
Fresh000
Picked101
Done000
Total4044408
Accuracy
100.0%
Counts
408 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶23.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶99.9%
(asinh.f64 x)
▶52.0%
#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 44 to 34 computations (22.7% saved)

simplify26.0ms (0.4%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02191
02991
14491
28491
323591
448991
559991
663391
778791
893191
998191
1099191
1199191
099186
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(asinh.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)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(asinh.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)
#s(literal 2 binary64)
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

localize135.0ms (2%)

Memory
-19.3MiB live, 71.9MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy30.903909919405493
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy46.953080858835825
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy30.903909919405493
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy47.837059866585086
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy0.09375
(asinh.f64 x)
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.05859375
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy30.71003131103141
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Samples
60.0ms58×2valid
54.0ms137×1valid
9.0ms61×0valid
Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-log: 22.0ms (32.2% of total)
ival-hypot: 12.0ms (17.5% of total)
adjust: 10.0ms (14.6% of total)
ival-pow: 6.0ms (8.8% of total)
const: 5.0ms (7.3% of total)
ival-add: 4.0ms (5.8% of total)
ival-mult: 4.0ms (5.8% of total)
ival-div: 2.0ms (2.9% of total)
ival-asinh: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
10 → 28
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(asinh.f64 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 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))
2.0ms
x
@inf
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))
1.0ms
x
@0
((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) -1/6) x) (pow x 3) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x))

simplify116.0ms (1.7%)

Memory
1.6MiB live, 143.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109332
1320318
2909317
33247309
08365298
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
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)) (-.f64 (*.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 (*.f64 #s(literal 3/40 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1/6 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.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 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x)))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 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))) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64)))))

rewrite177.0ms (2.6%)

Memory
33.7MiB live, 222.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02183
02964
19064
255856
3726856
0841856
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 247
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(asinh.f64 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 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)))
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(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (sinh.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(asinh.f64 x)
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))) (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))))) (+.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)) (*.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))) (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))) (*.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))))))))))
(neg.f64 (asinh.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (asinh.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (asinh.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 x)) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64))))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (asinh.f64 x)) x))))
(+.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (log.f64 (fma.f64 (*.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (cosh.f64 (asinh.f64 x))) (-.f64 (*.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (cosh.f64 (asinh.f64 x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 0 binary64) (asinh.f64 x))
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x)))))) (log.f64 (/.f64 (exp.f64 (asinh.f64 x)) (fma.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))) (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (asinh.f64 (neg.f64 x)) (log.f64 (/.f64 (-.f64 (neg.f64 x) (cosh.f64 (asinh.f64 x))) (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))))))
(+.f64 (asinh.f64 x) (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))) (/.f64 #s(literal -1 binary64) (exp.f64 (asinh.f64 x))))))
(log.f64 (exp.f64 (asinh.f64 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)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (asinh.f64 (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x 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) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))

eval78.0ms (1.1%)

Memory
-2.8MiB live, 44.3MiB allocated
Compiler

Compiled 7 107 to 922 computations (87% saved)

prune12.0ms (0.2%)

Memory
-19.6MiB live, 26.5MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2677274
Fresh000
Picked224
Done000
Total2699278
Accuracy
100.0%
Counts
278 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
23.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
▶52.0%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
▶3.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
Compiler

Compiled 263 to 180 computations (31.6% saved)

simplify54.0ms (0.8%)

Memory
-9.1MiB live, 45.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
cost-diff3
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
cost-diff2
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026186
042184
176170
2188170
3445168
4689168
5833168
61023168
71106168
81125168
91135168
101135168
111215168
121375168
01375157
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(neg.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(neg.f64 x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #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 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(neg.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(neg.f64 x)

localize148.0ms (2.2%)

Memory
-8.4MiB live, 180.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
accuracy0.12109375
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
accuracy0.3125
(*.f64 #s(literal -1/6 binary64) x)
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
accuracy0.0
(neg.f64 x)
accuracy0.05859375
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
accuracy0.17578125
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy61.51715865359924
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
accuracy0.0
(*.f64 x x)
accuracy0.05859375
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy30.71003131103141
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.05859375
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
accuracy0.17578125
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
accuracy0.0
(*.f64 x x)
accuracy0.0625
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
accuracy0.3125
(*.f64 #s(literal 1/6 binary64) x)
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
Samples
61.0ms137×1valid
49.0ms58×2valid
12.0ms61×0valid
Compiler

Compiled 146 to 25 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 25.0ms (25.3% of total)
ival-log: 22.0ms (22.3% of total)
adjust: 19.0ms (19.2% of total)
ival-hypot: 12.0ms (12.2% of total)
ival-add: 10.0ms (10.1% of total)
const: 9.0ms (9.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
17 → 28
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(neg.f64 x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* 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)
(pow x 2)
(* 1/6 (pow x 2))
(pow x 3)
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* -1/6 (pow x 2))
(* -1/6 x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
Calls

3 calls:

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

simplify159.0ms (2.3%)

Memory
29.5MiB live, 204.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078275
1206253
2555253
32001247
08873237
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* 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)
(pow x 2)
(* 1/6 (pow x 2))
(pow x 3)
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* -1/6 (pow x 2))
(* -1/6 x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
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 (* -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)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.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 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))

rewrite114.0ms (1.7%)

Memory
-18.7MiB live, 175.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026160
042109
1158109
2107299
0914299
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 620
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(neg.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
(/.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
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(fma.f64 x (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 x))
(fma.f64 x (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
(fma.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) (neg.f64 x))
(fma.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) x)
(fma.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x))
(fma.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(-.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (neg.f64 x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (neg.f64 x) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (neg.f64 x))
(neg.f64 (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)

eval59.0ms (0.9%)

Memory
9.4MiB live, 54.6MiB allocated
Compiler

Compiled 6 496 to 819 computations (87.4% saved)

prune26.0ms (0.4%)

Memory
-3.6MiB live, 43.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2733276
Fresh022
Picked325
Done022
Total2769285
Accuracy
100.0%
Counts
285 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶23.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
✓52.0%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
✓3.9%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
▶53.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶2.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
Compiler

Compiled 234 to 161 computations (31.2% saved)

simplify41.0ms (0.6%)

Memory
-8.9MiB live, 35.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
cost-diff1
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
cost-diff2
(*.f64 (*.f64 (neg.f64 x) x) x)
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
cost-diff2
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
cost-diff2
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031184
046182
181180
2181170
3438170
4778168
51022168
61113168
71147168
81162168
91172168
101172168
111256168
121416168
01416156
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 1/6 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize178.0ms (2.6%)

Memory
-10.4MiB live, 181.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy30.903909919405493
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
accuracy47.837059866585086
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
accuracy0.0
(neg.f64 x)
accuracy0.0546875
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
accuracy0.0703125
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
accuracy0.05859375
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
accuracy0.12109375
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy0.3125
(*.f64 x #s(literal 1/6 binary64))
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
accuracy0.0
(neg.f64 x)
accuracy30.833232075735424
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
accuracy61.51715865359924
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
accuracy0.0
(*.f64 x x)
accuracy0.0625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
accuracy0.1015625
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy29.766335399756365
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
Samples
100.0ms137×1valid
46.0ms58×2valid
13.0ms61×0valid
Compiler

Compiled 137 to 26 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-log: 48.0ms (35% of total)
adjust: 36.0ms (26.3% of total)
ival-mult: 20.0ms (14.6% of total)
ival-hypot: 12.0ms (8.8% of total)
ival-add: 10.0ms (7.3% of total)
const: 8.0ms (5.8% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
18 → 38
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
(*.f64 (neg.f64 x) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 (* 1/6 (pow x 2)))
(pow x 2)
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* 1/6 (pow x 2))
(* 1/6 x)
(* -1 (pow x 3))
(* -1 (pow x 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 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)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (- 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))))
(+ (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 (pow x 2)) 1/6)))
(/ -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))
Calls

3 calls:

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

simplify135.0ms (2%)

Memory
12.7MiB live, 109.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121391
1358373
21011372
35343372
08681359
Stop Event
1×iter limit
1×node limit
Counts
38 → 37
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 (* 1/6 (pow x 2)))
(pow x 2)
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* 1/6 (pow x 2))
(* 1/6 x)
(* -1 (pow x 3))
(* -1 (pow x 2))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 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)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (- 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))))
(+ (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 (pow x 2)) 1/6)))
(/ -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))
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 (* -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)) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.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 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.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))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.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)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(+ (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 (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)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 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)))) (neg.f64 x))

rewrite61.0ms (0.9%)

Memory
-6.6MiB live, 39.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031173
046139
1164125
01088119
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 213
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
(*.f64 (neg.f64 x) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
Outputs
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x))
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(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.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 (*.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
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(neg.f64 (*.f64 (neg.f64 x) x))
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#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x))
(neg.f64 x)
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(*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
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(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x))
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x)) x x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64)) x)
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal -1/6 binary64) x)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(neg.f64 (*.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)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)

eval33.0ms (0.5%)

Memory
-18.1MiB live, 27.2MiB allocated
Compiler

Compiled 4 336 to 698 computations (83.9% saved)

prune10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1961197
Fresh000
Picked325
Done134
Total2006206
Accuracy
100.0%
Counts
206 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓25.3%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓23.7%
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓99.9%
(asinh.f64 x)
✓52.0%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
54.2%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) x))
✓2.5%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
Compiler

Compiled 347 to 132 computations (62% saved)

regimes13.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(asinh.f64 x)
Calls

3 calls:

5.0ms
x
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.9%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.9%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (neg.f64 x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (neg.f64 x) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/6 binary64) x))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #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
54.2%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
54.2%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
54.2%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
2.5%1(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.5%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.5%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify51.0ms (0.7%)

Memory
-42.9MiB live, 53.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
02146
14346
210444
326544
451244
558144
659344
762043
877643
997643
10100943
11100943
12109343
13121743
14121743
Stop Event
1×saturated
Calls
Call 1
Inputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))
Outputs
(asinh.f64 x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 #s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/6 (* x x)) x) (neg x)) (neg.f64 x)))

derivations724.0ms (10.5%)

Memory
16.7MiB live, 401.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
02964
19064
255856
3726856
0841856
026160
042109
1158109
2107299
0914299
078275
1206253
2555253
32001247
08873237
0121391
1358373
21011372
35343372
08681359
0125448
1384440
21149432
34065428
08153409
0731
01218
15118
236016
3442116
0816015
Stop Event
1×fuel
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
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 46 to 22 computations (52.2% saved)

preprocess47.0ms (0.7%)

Memory
0.7MiB live, 45.1MiB allocated
Compiler

Compiled 158 to 86 computations (45.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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