Hyperbolic arc-(co)secant

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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 (22.4%)

Memory
-7.5MiB live, 908.4MiB allocated
Samples
925.0ms8 256×0valid
1.0ms20×0invalid
Precisions
Click to see histograms. Total time spent on operations: 581.0ms
ival-div: 235.0ms (40.5% of total)
ival-sqrt: 105.0ms (18.1% of total)
ival-log: 103.0ms (17.7% of total)
ival-mult: 48.0ms (8.3% of total)
ival-sub: 40.0ms (6.9% of total)
ival-add: 35.0ms (6% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain261.0ms (4.6%)

Memory
-9.6MiB live, 155.8MiB 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
74.0ms512×0valid
Compiler

Compiled 173 to 40 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 37.0ms (61.9% of total)
ival-div: 7.0ms (11.7% of total)
ival-log: 6.0ms (10% of total)
ival-sqrt: 4.0ms (6.7% of total)
ival-sub: 3.0ms (5% of total)
ival-add: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess363.0ms (6.5%)

Memory
38.6MiB live, 228.9MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

simplify307.0ms (5.4%)

Memory
-35.1MiB live, 249.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)

localize28.0ms (0.5%)

Memory
1.1MiB live, 39.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
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)))
Samples
19.0ms256×0valid
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 (31.6% of total)
ival-log: 3.0ms (23.7% of total)
ival-sqrt: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-sub: 1.0ms (7.9% 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
8.4MiB live, 8.4MiB allocated
Counts
5 → 46
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)
(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 (* -1/2 (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)))))
(* 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) (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) (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) (sqrt (- 1 (* x x))))

simplify138.0ms (2.5%)

Memory
19.4MiB live, 177.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155726
1409701
21119681
33237668
08046639
Stop Event
1×iter limit
1×node limit
Counts
46 → 46
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 (* -1/2 (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)))))
(* 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 (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 #s(literal -1/4 binary64) x) 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 (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 (* -1/2 (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))))
(* 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)))
(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 (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))

rewrite155.0ms (2.7%)

Memory
1.4MiB live, 156.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942
01642
16942
262438
3760738
0836538
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 321
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)
(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)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 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 #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)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #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 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (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)))))
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(*.f64 (neg.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) (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)))
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (+.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))))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
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eval97.0ms (1.7%)

Memory
7.4MiB live, 132.1MiB allocated
Compiler

Compiled 9 473 to 1 333 computations (85.9% saved)

prune23.0ms (0.4%)

Memory
-15.7MiB live, 22.1MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3625367
Fresh000
Picked101
Done000
Total3635368
Accuracy
100.0%
Counts
368 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶28.2%
(log.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 (/.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)))))
▶99.8%
(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)))
▶99.6%
(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 202 to 132 computations (34.7% saved)

simplify151.0ms (2.7%)

Memory
-10.4MiB live, 106.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041352
067352
196352
2141352
3252344
4487344
51024332
62726332
75343332
86702332
97612332
08090331
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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)
(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 (+.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 (/.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)))))
(/.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 (/.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))))
(*.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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(+.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)))
(/.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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (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 x x)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(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)
(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)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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 (+.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 (/.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)))))
(log.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 x #s(literal -3 binary64))))
(/.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 (/.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))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (pow.f64 x #s(literal -3 binary64)))
(*.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 -3 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(+.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)))
(-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) x)) #s(literal 1 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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x) x) #s(literal 1 binary64))
(-.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 1 binary64) (fma.f64 x x (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 x x)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

localize125.0ms (2.2%)

Memory
3.9MiB live, 126.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
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 (+.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 (/.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)))))
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
(+.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))
Samples
91.0ms256×0invalid
Compiler

Compiled 698 to 81 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 22.0ms (30% of total)
ival-pow: 14.0ms (19.1% of total)
ival-mult: 11.0ms (15% of total)
ival-log: 9.0ms (12.3% of total)
ival-add: 7.0ms (9.6% of total)
ival-sqrt: 5.0ms (6.8% of total)
ival-sub: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
20 → 85
Calls
Call 1
Inputs
(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)))
(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)
(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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(log.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 (/.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)))))
(/.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 (/.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))))
(*.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)))
(neg.f64 x)
(*.f64 x x)
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)
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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))) 1/2))
(/ 2 (pow x 3))
(/ (+ 2 (* -3/2 (pow x 2))) (pow x 3))
(/ (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))) (pow x 3))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 1/16 (pow x 2)))) 3/2))) (pow x 3))
(* -1 x)
(pow x 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 (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))))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(log (* -1 (sqrt -1)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (sqrt -1) x)))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (/ (sqrt -1) x)) (* 1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))) (pow x 2)))))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/6 (/ (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))) (pow x 2))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (pow (sqrt -1) 2) x))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (pow x 2)))) (* -1 (/ (pow (sqrt -1) 2) x)))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))) (pow x 3)))) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (+ (* 2 (/ (sqrt -1) (pow x 2))) (+ (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (pow (sqrt -1) 3) (pow x 2))))))
(+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+ (sqrt -1) (+ (/ 1 (pow x 3)) (/ 3/2 (* (pow x 2) (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (/ 1 (pow x 3)) (/ 3/2 (* (pow x 2) (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 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 (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 (+ (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)))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ (sqrt -1) x) 1))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(+ (log (sqrt -1)) (/ (sqrt -1) x))
(+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))) (sqrt -1)))) x))) x)))
(+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))) (sqrt -1))))) x)) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))) (sqrt -1)))))) x))) x)))
(+ (sqrt -1) (/ (pow (sqrt -1) 2) x))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) x)) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(- (* -1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1 (pow x 3))) (/ 3/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* x (sqrt -1)))) 1) (pow x 3)))) (/ 3/2 (* (pow x 2) (sqrt -1))))
Calls

3 calls:

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

simplify161.0ms (2.9%)

Memory
-13.4MiB live, 141.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03611583
110221360
233211227
085021176
Stop Event
1×iter limit
1×node limit
Counts
85 → 85
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)
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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2)))))) 1/2))
(/ 2 (pow x 3))
(/ (+ 2 (* -3/2 (pow x 2))) (pow x 3))
(/ (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 3/2))) (pow x 3))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* 1/16 (pow x 2)))) 3/2))) (pow x 3))
(* -1 x)
(pow x 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 (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))))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ (sqrt -1) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt -1)))) (/ (sqrt -1) x)))))
(log (* -1 (sqrt -1)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (sqrt -1) x)))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (/ (sqrt -1) x)) (* 1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))) (pow x 2)))))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (/ (sqrt -1) x)) (+ (* 1/6 (/ (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) (sqrt -1))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (sqrt -1)))) (pow x 2))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ (pow (sqrt -1) 2) x))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) (pow x 2)))) (* -1 (/ (pow (sqrt -1) 2) x)))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))) (pow x 3)))) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (+ (* 2 (/ (sqrt -1) (pow x 2))) (+ (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))) (/ (pow (sqrt -1) 3) (pow x 2))))))
(+ (sqrt -1) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+ (sqrt -1) (+ (/ 1 (pow x 3)) (/ 3/2 (* (pow x 2) (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (/ 1 (pow x 3)) (/ 3/2 (* (pow x 2) (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 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 (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 (+ (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)))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ (sqrt -1) x) 1))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ (sqrt -1) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)) (sqrt -1)) x)) 1))
(+ (log (sqrt -1)) (/ (sqrt -1) x))
(+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1/2 (/ (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))) (sqrt -1)))) x))) x)))
(+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (sqrt -1)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (sqrt -1) 3)) (+ (* 6 (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3)))) (* 6 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))))))) (sqrt -1))))) x)) (* 1/2 (+ (* -1 (pow (sqrt -1) 2)) (* 2 (/ (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))) (sqrt -1)))))) x))) x)))
(+ (sqrt -1) (/ (pow (sqrt -1) 2) x))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) x)) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(- (* -1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1 (pow x 3))) (/ 3/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* x (sqrt -1)))) 1) (pow x 3)))) (/ 3/2 (* (pow x 2) (sqrt -1))))
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))))
(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)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)
(+ 2 (* -1/2 (pow x 2)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x)) x))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -2 (pow (sqrt -1) 2)) (* -1 (* (sqrt -1) (+ (* 2 (sqrt -1)) (+ (* 3/2 (/ 1 (sqrt -1))) (pow (sqrt -1) 3))))))) x)) (+ (* 3/2 (/ 1 (sqrt -1))) (+ (* 2 (sqrt -1)) (pow (sqrt -1) 3)))) x)) (* -1 (pow (sqrt -1) 2))) x)))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) x)) x))
(- (* -1 (sqrt -1)) (* 3/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1 (pow x 3))) (/ 3/2 (* (pow x 2) (sqrt -1))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)))
(- (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (* x (sqrt -1)))) 1) (pow x 3)))) (/ 3/2 (* (pow x 2) (sqrt -1))))
(-.f64 (-.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))

rewrite219.0ms (3.9%)

Memory
3.5MiB live, 153.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041260
067212
1264200
22150198
08573182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 823
Calls
Call 1
Inputs
(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)))
(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)
(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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(log.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 (/.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)))))
(/.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 (/.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))))
(*.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)))
(neg.f64 x)
(*.f64 x x)
Outputs
(*.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (log1p.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 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 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))) (-.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))))) (*.f64 (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 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))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))))) (*.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (log1p.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal -3/2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal -3/2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (log.f64 x)) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (log.f64 x)) (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 (log.f64 x) #s(literal -3 binary64) (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal -3 binary64) (log.f64 x) (log.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 x #s(literal -3/2 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
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(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 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)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.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)))

eval103.0ms (1.8%)

Memory
-22.2MiB live, 131.0MiB allocated
Compiler

Compiled 24 049 to 3 219 computations (86.6% saved)

prune18.0ms (0.3%)

Memory
-5.1MiB live, 34.3MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New7412743
Fresh000
Picked235
Done000
Total7435748
Accuracy
100.0%
Counts
748 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.9%
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
✓100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓99.8%
(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)))
✓99.6%
(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 91 to 62 computations (31.9% saved)

simplify198.0ms (3.5%)

Memory
20.9MiB live, 175.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
cost-diff128
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
cost-diff512
(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
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
024132
034132
157132
275129
3102123
4120123
5269123
6727123
72361123
83471122
95858122
08182119
Stop Event
1×iter limit
1×node limit
1×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
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
(*.f64 x x)
x
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#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
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
(/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 x x)
x
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize61.0ms (1.1%)

Memory
22.8MiB live, 97.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy0.0
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
accuracy0.00390625
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
accuracy33.205848920222266
(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
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))))
accuracy0.11777935918661889
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy62.99851289764033
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
Samples
47.0ms255×0valid
1.0ms1×3valid
Compiler

Compiled 244 to 50 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 13.0ms (33.7% of total)
ival-mult: 6.0ms (15.5% of total)
ival-log: 6.0ms (15.5% of total)
ival-add: 5.0ms (13% of total)
ival-hypot: 4.0ms (10.4% of total)
ival-sqrt: 2.0ms (5.2% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-18.5MiB live, 27.0MiB allocated
Counts
9 → 75
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 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 x x)
(sqrt.f64 (fma.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)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(* -1 (+ (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) (- (* 5/96 (pow x 2)) 3/32)))) (+ (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) (- (* 3/32 (pow x 2)) 1/4))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (+ 3/32 (* -5/96 (pow x 2)))) 1/4))))
(pow x 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(/ 1 x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/ -1 x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(log (* -1 (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
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)
(* -1 (log -1))
(* -1 (+ (log -1) (/ 1 x)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(log -1)
(+ (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
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) (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x))) (* x x) (sqrt (+ (* x x) 1)))
4.0ms
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) (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x))) (* x x) (sqrt (+ (* x x) 1)))
2.0ms
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) (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x))) (* x x) (sqrt (+ (* x x) 1)))

simplify172.0ms (3.1%)

Memory
6.7MiB live, 117.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0255913
1712894
21840880
35438862
08518821
Stop Event
1×iter limit
1×node limit
Counts
75 → 74
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)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(* -1 (+ (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) (- (* 5/96 (pow x 2)) 3/32)))) (+ (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) (- (* 3/32 (pow x 2)) 1/4))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (+ 3/32 (* -5/96 (pow x 2)))) 1/4))))
(pow x 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(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 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(/ 1 x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/ -1 x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(log (* -1 (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
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)
(* -1 (log -1))
(* -1 (+ (log -1) (/ 1 x)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(log -1)
(+ (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
(+ (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)))
(/ 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)
(* 1/2 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) (- (* 1/16 (pow x 2)) 1/8))))
(*.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) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(*.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)
(* -1 (+ (log 1/2) (log x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (+ 1/4 (* -3/32 (pow x 2)))) (+ (log 1/2) (log x)))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 3/32)))) (+ (log 1/2) (log x)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) 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 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))))
(+ (log 1/2) (log x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (log x) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (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 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (log x) (* (pow x 2) (- (* (pow x 2) (+ 3/32 (* -5/96 (pow x 2)))) 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 1/2 binary64)) (log.f64 x)))
(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) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 (fma.f64 (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 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)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.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)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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)))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(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 (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 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (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))))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))))

rewrite308.0ms (5.5%)

Memory
-7.5MiB live, 153.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
034116
1150115
21219102
0876099
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 170
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 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 x x)
(sqrt.f64 (fma.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))
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(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))) (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))) (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 3 binary64)))))
(neg.f64 (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))) (/.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))) (/.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))))
(-.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(-.f64 #s(literal 0 binary64) (+.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (log.f64 x))))
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(+.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))) (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x))))
(+.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) (log.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))))
(+.f64 (log.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(+.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(+.f64 (log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64))
(log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) 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))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)))

eval49.0ms (0.9%)

Memory
-9.0MiB live, 38.7MiB allocated
Compiler

Compiled 5 923 to 1 037 computations (82.5% saved)

prune4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2412243
Fresh000
Picked202
Done123
Total2444248
Accuracy
100.0%
Counts
248 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.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))
✓99.8%
(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)))
▶5.2%
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 73 to 49 computations (32.9% saved)

simplify107.0ms (1.9%)

Memory
3.4MiB live, 77.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01787
02187
13687
24979
36971
47571
517371
647271
7145871
8166370
9191870
10237370
11300770
12404170
13699770
14751270
0803366
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Outputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x

localize37.0ms (0.7%)

Memory
17.4MiB live, 53.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
accuracy0.00390625
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.33902519901275835
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy60.68801233636779
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
Samples
25.0ms255×0valid
0.0ms1×3valid
Compiler

Compiled 160 to 32 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.3% of total)
ival-hypot: 4.0ms (21.8% of total)
ival-div: 3.0ms (16.4% of total)
ival-log: 3.0ms (16.4% of total)
ival-add: 1.0ms (5.5% of total)
ival-neg: 1.0ms (5.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
6 → 36
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(* -1 (+ (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) (- (* 5/96 (pow x 2)) 3/32)))) (+ (log 1/2) (log x)))
(/ 1 x)
(+ (log 1/2) (log x))
(+ (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) (+ 3/32 (* -5/96 (pow x 2)))) 1/4))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/ -1 x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(* -1 (log -1))
(* -1 (+ (log -1) (/ 1 x)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(log -1)
(+ (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)
Calls

3 calls:

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

simplify196.0ms (3.5%)

Memory
-22.7MiB live, 136.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126407
1349403
2832398
31911398
44624398
08190381
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 (+ (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) (- (* 5/96 (pow x 2)) 3/32)))) (+ (log 1/2) (log x)))
(/ 1 x)
(+ (log 1/2) (log x))
(+ (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) (+ 3/32 (* -5/96 (pow x 2)))) 1/4))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/ -1 x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(* -1 (log -1))
(* -1 (+ (log -1) (/ 1 x)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(log -1)
(+ (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 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) (+ 1/4 (* -3/32 (pow x 2)))) (+ (log 1/2) (log x)))
(fma.f64 (*.f64 (fma.f64 #s(literal -3/32 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x (neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/96 (pow x 2)) 3/32)))) (+ (log 1/2) (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 (neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (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) (- (* 3/32 (pow x 2)) 1/4))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/32 binary64) (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) (- (* (pow x 2) (+ 3/32 (* -5/96 (pow x 2)))) 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 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) (- (* 1/16 (pow x 2)) 1/8))))
(*.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) (- (* (pow x 2) (+ 1/16 (* -5/128 (pow x 2)))) 1/8))))
(*.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)
(/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 3/40 (pow x 4))) (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (- (+ (* 1/6 (/ 1 (pow x 2))) (* 5/112 (/ 1 (pow x 6)))) (+ 1 (/ 3/40 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (- (+ 1 (/ 3/40 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))) x)) (log -1))
(-.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) 1) x)))
(-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (* -1 (/ (- (* 1/6 (/ 1 (pow x 2))) (+ 1 (/ 3/40 (pow x 4)))) x)))
(+.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) x))

rewrite175.0ms (3.1%)

Memory
21.9MiB live, 176.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01783
02183
18482
251266
3528866
0805661
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 72
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (log.f64 (pow.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 0 binary64))
(log.f64 (pow.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (log.f64 (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))

eval54.0ms (1%)

Memory
-33.4MiB live, 21.0MiB allocated
Compiler

Compiled 3 064 to 362 computations (88.2% saved)

prune6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1043107
Fresh000
Picked022
Done022
Total1047111
Accuracy
100.0%
Counts
111 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.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))
✓99.8%
(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)))
4.8%
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 x (*.f64 x x)))
4.8%
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)))
✓5.2%
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
4.8%
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (*.f64 x (pow.f64 x #s(literal -2 binary64))))
Compiler

Compiled 404 to 174 computations (56.9% saved)

regimes25.0ms (0.4%)

Memory
-16.0MiB live, 21.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 x (*.f64 x x)))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) 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))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (*.f64 x (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.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)))
(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 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(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 (+.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 (/.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)))))
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:

15.0ms
x
4.0ms
(+.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)))
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
28.8MiB live, 28.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 x (*.f64 x x)))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) 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))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (*.f64 x (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.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)))
(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)))
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
(+.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)))
3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.8%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)

regimes12.0ms (0.2%)

Memory
-22.9MiB live, 15.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 x (*.f64 x x)))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) 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))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (*.f64 x (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (log.f64 #s(approx (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.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 x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
Calls

3 calls:

5.0ms
(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
99.6%1x
99.6%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
99.6%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)

regimes7.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -3.3b remaining (-5.5%)

Threshold costs -3.3b (-5.5%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 x (*.f64 x x)))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) 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))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (*.f64 x (pow.f64 x #s(literal -2 binary64))))
Outputs
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 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
5.2%1x
5.2%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
5.2%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)

simplify79.0ms (1.4%)

Memory
-6.8MiB live, 29.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
03573
15973
28069
311265
413465
529765
6132065
7357565
8601064
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 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 x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #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))
(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 x) (+ (* (sqrt (+ (* x x) 1)) x) x)) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (/ (* x x) (+ (* (sqrt (+ (* x x) 1)) x) x)))) (pow.f64 x #s(literal -1 binary64)))

soundness606.0ms (10.8%)

Memory
1.1MiB live, 317.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942
01642
16942
262438
3760738
0836538
0255913
1712894
21840880
35438862
08518821
041260
067212
1264200
22150198
08573182
0155726
1409701
21119681
33237668
08046639
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 195 to 106 computations (45.6% saved)

preprocess73.0ms (1.3%)

Memory
6.1MiB live, 49.4MiB allocated
Compiler

Compiled 172 to 92 computations (46.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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