Hyperbolic arc-(co)secant

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (19.2%)

Memory
-187.6MiB live, 936.6MiB allocated
Samples
1.0s8 256×0valid
2.0ms24×0invalid
Precisions
Click to see histograms. Total time spent on operations: 857.0ms
ival-sub: 328.0ms (38.3% of total)
ival-div: 271.0ms (31.6% of total)
ival-log: 97.0ms (11.3% of total)
ival-sqrt: 60.0ms (7% of total)
ival-mult: 48.0ms (5.6% of total)
ival-add: 39.0ms (4.5% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain131.0ms (1.9%)

Memory
10.2MiB live, 225.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
51.0ms512×0valid
Compiler

Compiled 173 to 40 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 14.0ms (37.2% of total)
ival-sqrt: 8.0ms (21.2% of total)
ival-log: 6.0ms (15.9% of total)
ival-mult: 3.0ms (8% of total)
ival-sub: 3.0ms (8% of total)
ival-add: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess363.0ms (5.3%)

Memory
-3.3MiB live, 226.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
01131
13427
27127
315327
426127
541127
664423
7104123
8146223
9200223
10435123
11577923
12681323
13721923
14758723
15774323
0913
01613
12413
23113
33913
45413
57413
611713
731113
858513
9115713
10210313
11388313
12490513
13527713
14561011
15591411
16599511
17623011
18716611
0829611
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify404.0ms (5.9%)

Memory
24.6MiB live, 177.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
cost-diff704
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
0952
01652
12452
23152
33952
45452
57452
611752
731152
858552
9115752
10210352
11388352
12490552
13527752
14561048
15591448
16599548
17623048
18716648
0829648
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize35.0ms (0.5%)

Memory
-12.0MiB live, 25.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.00390625
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
accuracy0.009070031620653759
(-.f64 #s(literal 1 binary64) (*.f64 x x))
Samples
20.0ms256×0valid
Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.3% of total)
ival-log: 3.0ms (23.5% of total)
ival-mult: 2.0ms (15.6% of total)
ival-sqrt: 2.0ms (15.6% of total)
ival-add: 1.0ms (7.8% of total)
ival-sub: 1.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
6 → 49
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Calls

3 calls:

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

simplify316.0ms (4.6%)

Memory
-12.4MiB live, 195.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160742
1418715
21140695
33270682
08096653
Stop Event
iter limit
node limit
Counts
49 → 49
Calls
Call 1
Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
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(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))

rewrite172.0ms (2.5%)

Memory
20.8MiB live, 214.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0947
01647
16947
262443
3760743
0836543
Stop Event
iter limit
node limit
iter limit
Counts
6 → 399
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (+.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (pow.f64 x #s(literal -1 binary64)))
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(*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 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 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 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 6 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))

eval60.0ms (0.9%)

Memory
-22.0MiB live, 140.7MiB allocated
Compiler

Compiled 11 591 to 1 821 computations (84.3% saved)

prune31.0ms (0.5%)

Memory
-14.6MiB live, 24.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4416447
Fresh000
Picked101
Done000
Total4426448
Accuracy
100.0%
Counts
448 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
100.0%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
99.4%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
99.2%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
Compiler

Compiled 182 to 134 computations (26.4% saved)

simplify199.0ms (2.9%)

Memory
-35.1MiB live, 161.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff0
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
cost-diff320
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(sqrt.f64 #s(literal -1 binary64))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
cost-diff128
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033241
054242
182238
2123238
3182222
4254222
5426222
6669222
7968222
81331222
91921222
103342219
115331219
127428219
08047216
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
Outputs
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)

localize209.0ms (3.1%)

Memory
-4.5MiB live, 118.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
accuracy0.0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
accuracy0.0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
accuracy0.0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(sqrt.f64 #s(literal -1 binary64))
accuracy0.0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy0.0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
accuracy0.0
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy0.0
(neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
Samples
131.0ms256×0invalid
Compiler

Compiled 465 to 65 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 71.0ms (67.2% of total)
ival-div: 10.0ms (9.5% of total)
ival-log: 10.0ms (9.5% of total)
ival-add: 6.0ms (5.7% of total)
ival-sqrt: 5.0ms (4.7% of total)
ival-neg: 2.0ms (1.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
21 → 72
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(neg.f64 x)
(neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 x x)
Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ -1 x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1 x)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 1)
(pow x 2)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))))
Calls

3 calls:

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

simplify189.0ms (2.8%)

Memory
-10.6MiB live, 111.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181033
1612996
21834939
35321930
08432872
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ -1 x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1 x)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 1)
(pow x 2)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))))
Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
-2
#s(literal -2 binary64)
(- (* 1/2 (pow x 2)) 2)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal -1 binary64))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (/ 1 x)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (fma.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal 1 binary64))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))) (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))))))
(fma.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))

rewrite351.0ms (5.2%)

Memory
9.1MiB live, 200.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033212
054213
1204193
21536193
08516177
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 058
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(neg.f64 x)
(neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 x x))) x) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 (log1p.f64 (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)) (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) x)) (neg.f64 x))
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(+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval231.0ms (3.4%)

Memory
25.5MiB live, 184.0MiB allocated
Compiler

Compiled 18 581 to 3 162 computations (83% saved)

prune33.0ms (0.5%)

Memory
15.2MiB live, 52.0MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8222824
Fresh011
Picked145
Done000
Total8237830
Accuracy
100.0%
Counts
830 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
100.0%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
99.4%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
99.4%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
99.2%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 124 to 91 computations (26.6% saved)

simplify145.0ms (2.1%)

Memory
2.7MiB live, 123.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
cost-diff0
(log.f64 x)
cost-diff0
(neg.f64 (log.f64 x))
cost-diff128
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
cost-diff0
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039182
056179
186176
2112176
3140176
4180176
5243176
6337176
7591176
8922176
91598176
102746176
114003176
125087166
136374166
08293163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal -2 binary64)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal -2 binary64)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)

localize169.0ms (2.5%)

Memory
-30.8MiB live, 167.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 x)
accuracy0.00390625
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy0.0078125
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
accuracy0.203125
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
accuracy0.0
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
accuracy0.40659387733622987
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.00390625
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
accuracy0.40308929514320346
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy62.99850849819657
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
Samples
131.0ms256×0valid
Compiler

Compiled 328 to 77 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-log1p: 15.0ms (27.1% of total)
ival-mult: 9.0ms (16.3% of total)
ival-log: 9.0ms (16.3% of total)
ival-div: 7.0ms (12.7% of total)
ival-add: 7.0ms (12.7% of total)
ival-sqrt: 3.0ms (5.4% of total)
ival-neg: 3.0ms (5.4% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.9%)

Memory
31.4MiB live, 69.0MiB allocated
Counts
14 → 77
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) x)
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (log.f64 x))
(log.f64 x)
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
Outputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/2 x)
(/ -1 x)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))
(- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))
(* -1 (log x))
(log x)
(log 2)
(+ (log 2) (* -1/4 (pow x 2)))
(+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))
(+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(log (/ 1 x))
(* -1 (log (/ 1 x)))
(+ (log (sqrt -1)) (* -1 (log (/ 1 x))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(- (log (sqrt -1)) (log -1))
(- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1)))))
(- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1))
(- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log (sqrt -1)) (* -1 (log (/ -1 x))))
(- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@0
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (log (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (+ (neg (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1))))) (neg (log x)) (log x) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (* x x) (sqrt (+ (* (neg x) x) 1)))
20.0ms
x
@-inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (log (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (+ (neg (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1))))) (neg (log x)) (log x) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (* x x) (sqrt (+ (* (neg x) x) 1)))
17.0ms
x
@inf
((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (log (* (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (/ -1 x) (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (+ (neg (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1))))) (neg (log x)) (log x) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (* x x) (sqrt (+ (* (neg x) x) 1)))

simplify242.0ms (3.6%)

Memory
-2.9MiB live, 203.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211096
16101055
216871024
348121004
08269959
Stop Event
iter limit
node limit
Counts
77 → 77
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/2 x)
(/ -1 x)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(- (log 2) (log x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))
(- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))
(* -1 (log x))
(log x)
(log 2)
(+ (log 2) (* -1/4 (pow x 2)))
(+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))
(+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(log (/ 1 x))
(* -1 (log (/ 1 x)))
(+ (log (sqrt -1)) (* -1 (log (/ 1 x))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(- (log (sqrt -1)) (log -1))
(- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1)))))
(- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1))
(- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log (sqrt -1)) (* -1 (log (/ -1 x))))
(- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-2
#s(literal -2 binary64)
(- (* 1/2 (pow x 2)) 2)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1/4 (pow x 2))) (log x))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 x))
(- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(* -1 (log x))
(neg.f64 (log.f64 x))
(log x)
(log.f64 x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (log.f64 #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
1
#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) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64))) x)
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log (sqrt -1)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (log.f64 x))
(+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) x)) x #s(literal -1 binary64))
(- (log (sqrt -1)) (log -1))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1)))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 #s(literal -1 binary64)))
(- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (sqrt -1)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(-.f64 (-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(-.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))

rewrite157.0ms (2.3%)

Memory
-0.2MiB live, 193.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039161
056158
1218155
21634155
08371144
Stop Event
iter limit
node limit
iter limit
Counts
14 → 220
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) x)
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (log.f64 x))
(log.f64 x)
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x) #s(literal -1 binary64))
(*.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) x)
(/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))))
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(-.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(+.f64 (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 #s(literal 0 binary64) (log.f64 x)))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 x))))
(neg.f64 (log.f64 x))
(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 #s(literal 0 binary64) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 #s(literal 0 binary64) (log.f64 x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) #s(literal 0 binary64))
(log.f64 (pow.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 x)))))
(neg.f64 (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
(log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (fma.f64 (log1p.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (expm1.f64 (log1p.f64 (*.f64 x x)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log1p.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval36.0ms (0.5%)

Memory
0.1MiB live, 73.7MiB allocated
Compiler

Compiled 7 434 to 1 124 computations (84.9% saved)

prune10.0ms (0.2%)

Memory
-18.8MiB live, 32.2MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New2921293
Fresh000
Picked033
Done044
Total2928300
Accuracy
100.0%
Counts
300 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
99.4%
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
100.0%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
99.4%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
99.4%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
99.2%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 146 to 109 computations (25.3% saved)

simplify274.0ms (4%)

Memory
-8.5MiB live, 189.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018110
025105
146100
269100
396100
4123100
5161100
6238100
7430100
8692100
91310100
102493100
113834100
125158100
135722100
146011100
156152100
166207100
176420100
187634100
08092100
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
x
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal -2 binary64)
Outputs
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(neg.f64 (log.f64 (/.f64 (neg.f64 x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64))))))
(log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(log.f64 (/.f64 (neg.f64 x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64))))
x
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64))))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal -2 binary64)

localize38.0ms (0.6%)

Memory
28.4MiB live, 66.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
accuracy0.0
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
accuracy0.00390625
(log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
accuracy0.40659387733622987
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
Samples
29.0ms256×0valid
Compiler

Compiled 188 to 38 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.7% of total)
ival-add: 4.0ms (19.1% of total)
ival-neg: 4.0ms (19.1% of total)
ival-log: 3.0ms (14.4% of total)
ival-div: 2.0ms (9.6% of total)
ival-sqrt: 2.0ms (9.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-31.3MiB live, 7.7MiB allocated
Counts
5 → 58
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
Outputs
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
Calls

3 calls:

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

simplify157.0ms (2.3%)

Memory
14.3MiB live, 131.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0244913
1730841
22146802
35728786
08544751
Stop Event
iter limit
node limit
Counts
58 → 58
Calls
Call 1
Inputs
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
Outputs
(* -1 (+ (log 1/2) (log x)))
(neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -5/96 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/96 binary64) (*.f64 x x) #s(literal 3/32 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 1/2 (pow x 2)) 2)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* 1/8 (pow x 2)))) 2)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))))) 2)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -2 binary64))
(* -1 (log (/ 1 (sqrt -1))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(log (/ 1 (sqrt -1)))
(neg.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(/ 1 (sqrt -1))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (/ 1 x)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (/ 1 x))))
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* x (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)))
(fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))) x #s(literal -1 binary64))
(* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
(fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x #s(literal -1 binary64))
(* -1 (log (/ -1 (sqrt -1))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (- (/ 1 x) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))))

rewrite136.0ms (2%)

Memory
8.6MiB live, 172.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01898
02593
19987
262987
3592384
0867279
Stop Event
iter limit
node limit
iter limit
Counts
5 → 266
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
Outputs
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(pow.f64 (/.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (neg.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (/.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (log.f64 (*.f64 x #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(pow.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(+.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 0 binary64))
(*.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
#s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64)))) (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 3 binary64))) (neg.f64 (pow.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(neg.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))))
(+.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -2 binary64))) #s(literal 0 binary64))

eval40.0ms (0.6%)

Memory
-2.9MiB live, 35.3MiB allocated
Compiler

Compiled 11 208 to 1 159 computations (89.7% saved)

prune9.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New3204324
Fresh000
Picked101
Done077
Total32111332
Accuracy
100.0%
Counts
332 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
99.4%
(neg.f64 (log.f64 (/.f64 x #s(approx (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))))))
99.4%
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
99.4%
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
99.2%
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
100.0%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
99.4%
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
99.4%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
99.2%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
0.0%
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Compiler

Compiled 487 to 259 computations (46.8% saved)

regimes37.0ms (0.5%)

Memory
-15.0MiB live, 30.0MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 (/.f64 x #s(approx (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
Outputs
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
Calls

3 calls:

28.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
4.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes34.0ms (0.5%)

Memory
-18.3MiB live, 18.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 (/.f64 x #s(approx (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
Calls

3 calls:

27.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 (/.f64 x #s(approx (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
Outputs
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
Calls

3 calls:

3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.4%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 (/.f64 x #s(approx (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (neg.f64 #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -2 binary64)))))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
Calls

3 calls:

3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.4%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.3%)

Memory
-21.0MiB live, 16.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
Outputs
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
Calls

3 calls:

16.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.4%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
Outputs
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
Calls

3 calls:

2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.2%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Calls

3 calls:

1.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
1.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
0.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
0.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify85.0ms (1.2%)

Memory
-4.6MiB live, 34.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060139
1103136
2149136
3247136
4403136
5992136
62783136
77857136
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
Outputs
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ x (neg (+ -1 (neg (sqrt (+ (* (neg x) x) 1)))))) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

soundness975.0ms (14.3%)

Memory
3.1MiB live, 474.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0160742
1418715
21140695
33270682
08096653
02181033
1612996
21834939
35321930
08432872
0947
01647
16947
262443
3760743
0836543
0244913
1730841
22146802
35728786
08544751
039161
056158
1218155
21634155
08371144
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 435 to 260 computations (40.2% saved)

preprocess94.0ms (1.4%)

Memory
18.0MiB live, 99.2MiB allocated
Compiler

Compiled 316 to 144 computations (54.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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