Logarithmic Transform

Time bar (total: 13.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze255.0ms (1.9%)

Memory
-21.2MiB live, 420.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
28.6%25%62.4%0.1%0%12.5%0%7
28.6%25%62.4%0.1%0%12.5%0%8
39.3%34.3%53%0.1%0%12.5%0%9
52.7%45.2%40.6%0.1%0%14%0%10
52.7%45.2%40.6%0.1%0%14%0%11
56%47.6%37.4%0.1%0%14.8%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.3s (24.9%)

Memory
41.1MiB live, 4 489.8MiB allocated
Samples
1.4s4 606×1valid
493.0ms3 650×0valid
316.0ms685×1invalid
295.0ms1 563×1exit
66.0ms642×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-pow: 918.0ms (45.9% of total)
ival-e: 397.0ms (19.9% of total)
ival-mult: 250.0ms (12.5% of total)
adjust: 161.0ms (8.1% of total)
ival-log1p: 153.0ms (7.7% of total)
ival-sub: 95.0ms (4.8% of total)
ival-true: 10.0ms (0.5% of total)
exact: 9.0ms (0.5% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

explain228.0ms (1.7%)

Memory
26.4MiB live, 344.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1870-0-(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
13851(-3117193.7861406053 6.623030174387202e-282 8.654228582285554e-146)0-(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
180-2(-9.384760564280956e+135 -6.5707195815939555e-84 1.0681386291349078e-228)(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
00-0-(pow.f64 (E.f64) x)
00-0-#s(literal 1 binary64)
00-0-c
00-0-y
00-0-x
00-0-(E.f64)
00-0-(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity1880
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation431
*.f64(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))n*u160
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))oflow-rescue10
↳(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)overflow1
↳(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))overflow1
↳(pow.f64 (E.f64) x)overflow1
↳(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+1680
-6028
Precision
0.7368421052631579
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16800
-60127
Precision?
0.7336244541484717
Recall?
1.0
Freqs
test
numberfreq
028
1208
220
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
110.0ms364×1valid
15.0ms148×0valid
Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-pow: 36.0ms (39.2% of total)
ival-e: 16.0ms (17.4% of total)
ival-mult: 11.0ms (12% of total)
adjust: 9.0ms (9.8% of total)
ival-log1p: 7.0ms (7.6% of total)
ival-add: 6.0ms (6.5% of total)
ival-sub: 5.0ms (5.4% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess122.0ms (0.9%)

Memory
6.5MiB live, 44.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043117
195113
2175113
3458113
4951113
51526113
62352113
72728113
82934113
93003113
103053113
113080113
123111113
133116113
143119113
153121113
01112
01812
12712
23412
34612
45512
56912
610012
715412
827812
940312
1048512
1150012
1250412
050410
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Outputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
Symmetry

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.3%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify20.0ms (0.2%)

Memory
-26.8MiB live, 47.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
cost-diff0
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
cost-diff64
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
01851
12751
23451
34651
45551
56951
610051
715451
827851
940351
1048551
1150051
1250451
050446
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y
Outputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
c
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
y

localize78.0ms (0.6%)

Memory
30.3MiB live, 111.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(pow.f64 (E.f64) x)
accuracy3.85487494866206
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy31.69670755090466
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy43.27302863177168
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Samples
61.0ms182×1valid
7.0ms74×0valid
Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 18.0ms (34% of total)
ival-mult: 11.0ms (20.8% of total)
ival-e: 8.0ms (15.1% of total)
adjust: 8.0ms (15.1% of total)
ival-log1p: 4.0ms (7.6% of total)
ival-sub: 2.0ms (3.8% of total)
ival-add: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series279.0ms (2.1%)

Memory
-2.6MiB live, 275.3MiB allocated
Counts
6 → 53
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E)))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ 1 (* x (log (E))))
(+ 1 (* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2))))))
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(pow (E) x)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
Calls

9 calls:

TimeVariablePointExpression
108.0ms
c
@0
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
45.0ms
y
@0
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
40.0ms
x
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
35.0ms
c
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
17.0ms
x
@inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify726.0ms (5.5%)

Memory
-41.4MiB live, 171.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831289
110181107
233831081
08421988
Stop Event
1×iter limit
1×node limit
Counts
53 → 53
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
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(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) y))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))

rewrite369.0ms (2.8%)

Memory
18.7MiB live, 212.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
01846
17046
245440
3496040
0894025
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 363
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) (-.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
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(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) (*.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 #s(literal 1/2 binary64) x x))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (cbrt.f64 (E.f64)) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (E.f64) (+.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (+.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (+.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (E.f64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)))
(exp.f64 x)

eval107.0ms (0.8%)

Memory
0.4MiB live, 83.7MiB allocated
Compiler

Compiled 9 782 to 2 163 computations (77.9% saved)

prune38.0ms (0.3%)

Memory
-1.5MiB live, 37.5MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New39519414
Fresh000
Picked101
Done000
Total39619415
Accuracy
99.5%
Counts
415 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.6%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
45.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
17.6%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))))
68.3%
(*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
14.4%
(*.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
22.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
40.2%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
40.2%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
41.1%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
42.5%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
27.8%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶45.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
49.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
54.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
▶46.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
49.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
▶40.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
53.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
▶57.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 1 028 to 700 computations (31.9% saved)

simplify243.0ms (1.8%)

Memory
21.0MiB live, 211.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
cost-diff640
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
cost-diff6464
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
cost-diff0
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
cost-diff0
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
cost-diff0
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
cost-diff128
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 c y)
cost-diff0
(*.f64 (*.f64 c y) x)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
cost-diff0
(expm1.f64 x)
cost-diff0
(*.f64 y (expm1.f64 x))
cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 x)))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061639
0109639
1213639
2571636
32071633
44022633
55034633
08221580
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
c
y
x
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
#s(literal 1 binary64)
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(*.f64 x x)
x
(*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))))
c
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))))
#s(literal 1/24 binary64)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 y y)
#s(literal -7 binary64)
(fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1/6 binary64)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(-.f64 y (*.f64 y y))
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(log1p.f64 (*.f64 y (expm1.f64 x)))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
c
y
x
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x y) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x y) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x y) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
#s(literal 1 binary64)
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)) y)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(*.f64 (*.f64 c x) (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)) y))
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) x)) y) c)
(*.f64 x x)
x
(*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) c)
c
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))))
(*.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y)
(*.f64 y y)
#s(literal -7 binary64)
(fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1/6 binary64)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(-.f64 y (*.f64 y y))

localize513.0ms (3.9%)

Memory
-24.0MiB live, 501.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy9.288986125717619
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
accuracy9.55033980181587
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
accuracy15.720260544246536
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
accuracy26.20129572930536
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
accuracy0.015625
(pow.f64 (E.f64) x)
accuracy2.98731273582735
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
accuracy16.21414426619512
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
accuracy43.27302863177168
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy3.8354298758034138
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
accuracy3.85487494866206
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
accuracy14.333359609518606
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
accuracy25.97424143564325
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
accuracy0.0
(*.f64 c y)
accuracy5.341013028395788
(*.f64 (*.f64 c y) x)
accuracy25.11798228649599
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
accuracy0.0
(expm1.f64 x)
accuracy0.0078125
(*.f64 y (expm1.f64 x))
accuracy0.24985569949937644
(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy3.85487494866206
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Samples
421.0ms182×1valid
32.0ms74×0valid
Compiler

Compiled 1 230 to 126 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 411.0ms
ival-mult: 174.0ms (42.3% of total)
adjust: 91.0ms (22.1% of total)
ival-pow: 90.0ms (21.9% of total)
ival-add: 17.0ms (4.1% of total)
const: 10.0ms (2.4% of total)
ival-e: 8.0ms (1.9% of total)
ival-expm1: 7.0ms (1.7% of total)
ival-log1p: 7.0ms (1.7% of total)
ival-sub: 4.0ms (1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series292.0ms (2.2%)

Memory
22.9MiB live, 703.5MiB allocated
Counts
23 → 188
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(pow.f64 (E.f64) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
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(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
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(* x y)
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(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
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(* c (* x (log (E))))
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(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
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(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
(+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
1
(+ 1 (* x (log (E))))
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(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))
(+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
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(log (+ 1 (* y (- (pow (E) x) 1))))
(- (pow (E) x) 1)
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(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x))))
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(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
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(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(pow (E) x)
(* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* x (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
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(* c (* y (- (exp x) 1)))
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(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
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(* y (+ 1/2 (* 1/6 x)))
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(* 1/2 y)
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(* y (+ 1 (* -7 y)))
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(* -1/4 (* x (pow y 4)))
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(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 7) y)) 12)))
(* (pow y 4) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/3))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1))) y)) (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(* (pow y 4) (+ (* -1 (/ (- (* -1/2 x) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -7/24 x) 1/2) y)) (* -1/2 x)) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2) y)) (* -1/2 x)) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (- (* -1 (/ (- (* 7 (/ 1 y)) 12) y)) 6))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 7) y)) 12) y)) 6))
Calls

9 calls:

TimeVariablePointExpression
81.0ms
x
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (E) x) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
50.0ms
c
@0
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (E) x) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
42.0ms
c
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (E) x) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
32.0ms
x
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (E) x) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
31.0ms
c
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (pow (E) x) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))

simplify168.0ms (1.3%)

Memory
-24.0MiB live, 333.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09804540
134834367
086513858
Stop Event
1×iter limit
1×node limit
Counts
188 → 186
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
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(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
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(* c (* x (log (E))))
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(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
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(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
(+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
1
(+ 1 (* x (log (E))))
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(pow (E) x)
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(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (+ 1/2 (* 1/6 x)))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(* 1/2 y)
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(* y (- (pow (E) x) 1))
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(* y (+ 1 (* -7 y)))
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(* y (+ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (* c (+ 1 (* 1/2 x)))))
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(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
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(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* 1/3 (* x (pow y 3)))
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(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
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(* 12 (pow y 3))
(* (pow y 3) (- 12 (* 7 (/ 1 y))))
(* (pow y 3) (- (+ 12 (/ 1 (pow y 2))) (* 7 (/ 1 y))))
(* -1/4 (* c (* (pow x 3) (pow y 4))))
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(* (pow y 4) (+ (* -1/2 (/ (* c x) (pow y 2))) (+ (* -1/4 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (+ 1/3 (* 1/2 x)))) y) (/ (* c (* (pow x 2) (- (* -7/24 x) 1/2))) (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ (* c x) (pow y 2))) (+ (* -1/4 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (pow y 3)) (+ (/ (* c (* (pow x 2) (+ 1/3 (* 1/2 x)))) y) (+ (/ (* c (* (pow x 2) (- (* -7/24 x) 1/2))) (pow y 2)) (/ (* c (+ 1 (* 1/2 x))) (pow y 3))))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))))
(* -1/4 (* x (pow y 4)))
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(* -6 (pow y 4))
(* (pow y 4) (- (* 12 (/ 1 y)) 6))
(* (pow y 4) (- (* 12 (/ 1 y)) (+ 6 (/ 7 (pow y 2)))))
(* (pow y 4) (- (+ (* 12 (/ 1 y)) (/ 1 (pow y 3))) (+ 6 (/ 7 (pow y 2)))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
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(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
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Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c y)
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(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
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(* x y)
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(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(* x (+ y (* 1/2 (* x y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) y) x)
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x
(* x (+ 1 (* 1/2 x)))
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(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* c (* x (* y (log (E)))))
(*.f64 (*.f64 x y) c)
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (-.f64 y (*.f64 y y)) x) (*.f64 c y)) x)
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(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
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(* 1/2 (- y (pow y 2)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
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(* x (* y (log (E))))
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(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
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(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
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(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 7) y)) 12)))
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(* (pow y 4) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/3))) y)) (* -1/4 (* c (pow x 3)))))
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(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1))) y)) (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
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rewrite187.0ms (1.4%)

Memory
23.0MiB live, 299.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061395
0109395
1411395
23348395
08254376
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 530
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
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#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
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(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
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(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(pow.f64 (E.f64) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
Outputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(log1p.f64 (*.f64 (expm1.f64 x) y))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) y (neg.f64 y))
(fma.f64 y (exp.f64 x) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 x) y) (neg.f64 y))
(+.f64 (*.f64 y (exp.f64 x)) (*.f64 y #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 x c) y)
(*.f64 (*.f64 x y) c)
(*.f64 (*.f64 c y) x)
(*.f64 c (*.f64 x y))
(*.f64 x (*.f64 c y))
(*.f64 y (*.f64 c x))
(*.f64 c y)
(*.f64 y c)
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x)))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
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(/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))))
(/.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64))) (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))))))
(/.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 3 binary64))) (fma.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (-.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) (-.f64 (*.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (-.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 #s(literal -216 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -6 binary64) (*.f64 y y)) (*.f64 y y) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))
(fma.f64 (*.f64 #s(literal -7 binary64) y) y (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (-.f64 (*.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal -1 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64)) y) #s(literal -1 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))))
(fma.f64 (fma.f64 #s(literal -343 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -7 binary64) (*.f64 y y))))) #s(literal -1 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1728 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 y (-.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))))
(fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))
(fma.f64 #s(literal -7 binary64) (*.f64 y y) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -6 binary64)) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 y (*.f64 #s(literal -7 binary64) y) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))) (/.f64 (pow.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))))
(+.f64 (+.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64))) y)
(+.f64 (+.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64)))
(+.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) (*.f64 #s(literal -7 binary64) (*.f64 y y)))) y)
(+.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (*.f64 #s(literal -7 binary64) (*.f64 y y)))
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) (*.f64 #s(literal -7 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))
(+.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)))
(+.f64 (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -7 binary64) (*.f64 y y))))

eval168.0ms (1.3%)

Memory
13.0MiB live, 287.4MiB allocated
Compiler

Compiled 47 903 to 4 609 computations (90.4% saved)

prune55.0ms (0.4%)

Memory
-21.1MiB live, 100.2MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New68828716
Fresh9514
Picked325
Done000
Total70035735
Accuracy
99.6%
Counts
735 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.5%
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
▶93.6%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
✓93.6%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
69.1%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
10.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
49.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
54.9%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
45.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
14.4%
(*.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
22.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
42.5%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
50.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
54.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
41.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x) #s(literal 2 binary64)) (*.f64 y y)))) x)))
27.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
54.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
53.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
68.8%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
53.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
▶49.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
22.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) c) (*.f64 c y)) (*.f64 (*.f64 (*.f64 x x) c) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) c) (*.f64 c y)) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))))) x))
▶40.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
26.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
27.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
56.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
57.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
▶58.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓57.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
▶57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
Compiler

Compiled 2 825 to 1 777 computations (37.1% saved)

simplify145.0ms (1.1%)

Memory
31.2MiB live, 225.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c)
cost-diff0
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
cost-diff128
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
cost-diff320
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
cost-diff0
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
cost-diff0
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
cost-diff0
#s(approx (- (pow (E) x) 1) x)
cost-diff0
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
cost-diff0
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
cost-diff0
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
cost-diff6912
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058511
0100511
1182502
2435494
31462479
43761452
54812452
08451395
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
c
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 c y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1 binary64)
c
y
Outputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (expm1.f64 x) y)
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(expm1.f64 x)
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 c (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 c (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 c (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(*.f64 (*.f64 c (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c)
(*.f64 c (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c)
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) c)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) c)
c
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 c y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) y (neg.f64 y)) c))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
(*.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) y (neg.f64 y)) c)
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c)
(fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) c (neg.f64 c))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1 binary64)
c
y

localize344.0ms (2.6%)

Memory
-9.4MiB live, 504.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.31640625
(*.f64 #s(literal 1/3 binary64) x)
accuracy2.98731273582735
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
accuracy16.21414426619512
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
accuracy43.27302863177168
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
accuracy4.359310427965169
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
accuracy4.977256374374342
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
accuracy14.333359609518606
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
accuracy25.369330165877436
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
accuracy0.36328125
(*.f64 #s(literal 1/6 binary64) c)
accuracy2.98731273582735
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
accuracy16.21414426619512
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
accuracy16.395879365335105
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
accuracy0.01171875
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
accuracy2.98731273582735
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
accuracy16.21414426619512
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
accuracy16.75078755628776
#s(approx (- (pow (E) x) 1) x)
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
accuracy0.24985569949937644
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
accuracy0.25781112397081396
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
accuracy3.85487494866206
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
Samples
151.0ms79×2valid
109.0ms103×1valid
34.0ms74×0valid
Compiler

Compiled 949 to 116 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-mult: 63.0ms (27.1% of total)
ival-pow: 35.0ms (15.1% of total)
ival-expm1: 27.0ms (11.6% of total)
adjust: 26.0ms (11.2% of total)
ival-exp: 19.0ms (8.2% of total)
const: 15.0ms (6.5% of total)
ival-add: 12.0ms (5.2% of total)
ival-log1p: 11.0ms (4.7% of total)
ival-e: 10.0ms (4.3% of total)
ival-sub: 7.0ms (3% of total)
ival-div: 6.0ms (2.6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series296.0ms (2.2%)

Memory
-5.3MiB live, 425.6MiB allocated
Counts
23 → 144
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ 1/2 (* 1/6 x)))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (* y (- (exp x) 1)))
(* c (- (exp x) 1))
(* 1/6 c)
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* -1 (* c (- (* -1/6 x) 1/2)))
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))))
(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(* 1/2 c)
(+ (* 1/6 (* c x)) (* 1/2 c))
(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
(* 1/2 (- y (pow y 2)))
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
(* c x)
(* x (+ c (* 1/2 (* c x))))
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c)))))
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c)))))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2))))))))
(* 1/3 x)
(/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x)))
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))
(- (pow (E) x) 1)
(* 1/6 (* c x))
(* x (+ (* 1/6 c) (* 1/2 (/ c x))))
(* 1/6 (* c (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))))
(* (pow x 2) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2)))))
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(- (exp x) 1)
(* 1/6 (* c (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))))
(* (pow x 3) (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (+ (* 1/2 (/ (* c (- y (pow y 2))) x)) (/ (* c y) (pow x 2)))))
(* -1 (* x (+ (* -1/2 (/ c x)) (* -1/6 c))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* c (- y (pow y 2))) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))
(* c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))))
(* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4))) (* 1/3 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (+ c (* c (* x (+ 1/2 (* 1/6 x))))))
(* y (+ c (+ (* c (* x (* y (- (* -1/2 x) 1/2)))) (* c (* x (+ 1/2 (* 1/6 x)))))))
(* y (+ c (+ (* c (* x (+ 1/2 (* 1/6 x)))) (* y (+ (* 1/3 (* c (* (pow x 2) y))) (* c (* x (- (* -1/2 x) 1/2))))))))
(* y (+ 1/2 (* 1/6 x)))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (* -1/2 x) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* x (* y (+ c (* c (* x (+ 1/2 (* 1/6 x)))))))
(* y (+ (* c (* (pow x 2) (* y (- (* -1/2 x) 1/2)))) (* x (+ c (* c (* x (+ 1/2 (* 1/6 x))))))))
(* y (+ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (* y (+ (* 1/3 (* c (* (pow x 3) y))) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
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(* (pow y 3) (+ (* 1/3 (* c (pow x 2))) (+ (/ c (pow y 2)) (+ (/ (* c (* x (+ 1/2 (* 1/6 x)))) (pow y 2)) (/ (* c (* x (- (* -1/2 x) 1/2))) y)))))
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(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 (/ x (pow y 2))) (+ (* 1/3 x) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
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(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)))
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y) (/ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (pow y 2)))))
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))
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(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3))))))
Calls

9 calls:

TimeVariablePointExpression
76.0ms
c
@0
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (exp 3) (* 1/3 x)) 1) c) y) (* (- (pow (exp 3) (* 1/3 x)) 1) c) (- (pow (exp 3) (* 1/3 x)) 1) (* 1/6 c) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (* 1/3 x))
46.0ms
x
@inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (exp 3) (* 1/3 x)) 1) c) y) (* (- (pow (exp 3) (* 1/3 x)) 1) c) (- (pow (exp 3) (* 1/3 x)) 1) (* 1/6 c) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (* 1/3 x))
37.0ms
c
@inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (exp 3) (* 1/3 x)) 1) c) y) (* (- (pow (exp 3) (* 1/3 x)) 1) c) (- (pow (exp 3) (* 1/3 x)) 1) (* 1/6 c) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (* 1/3 x))
34.0ms
c
@-inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (exp 3) (* 1/3 x)) 1) c) y) (* (- (pow (exp 3) (* 1/3 x)) 1) c) (- (pow (exp 3) (* 1/3 x)) 1) (* 1/6 c) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (* 1/3 x))
30.0ms
x
@-inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (exp 3) (* 1/3 x)) 1) c) y) (* (- (pow (exp 3) (* 1/3 x)) 1) c) (- (pow (exp 3) (* 1/3 x)) 1) (* 1/6 c) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (* 1/3 x))

simplify180.0ms (1.4%)

Memory
36.2MiB live, 227.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07793928
127093628
270323588
080773119
Stop Event
1×iter limit
1×node limit
Counts
144 → 143
Calls
Call 1
Inputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
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(* c (+ 1/2 (* 1/6 x)))
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(* c (* y (- (exp x) 1)))
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(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))))
(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
x
(* x (+ 1 (* 1/2 x)))
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(* 1/2 c)
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Outputs
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(* x y)
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(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
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(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (*.f64 x x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y) (*.f64 (*.f64 (*.f64 x x) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)))) (neg.f64 y))))

rewrite152.0ms (1.1%)

Memory
-8.7MiB live, 184.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058375
0100374
1369335
22870313
08465272
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 528
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
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(*.f64 c #s(literal 1/6 binary64))
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(*.f64 x (*.f64 c (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x)) (neg.f64 (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))))) (neg.f64 (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) x) (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64)))) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 c y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 c y) (-.f64 (*.f64 c y) (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 (*.f64 c y) x))
(fma.f64 (*.f64 c y) x (*.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x))
(fma.f64 x (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 c y)))
(fma.f64 x (*.f64 c y) (*.f64 x (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 c y) x))
(+.f64 (*.f64 (*.f64 c y) x) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x))
(+.f64 (*.f64 x (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 c y)))
(+.f64 (*.f64 x (*.f64 c y)) (*.f64 x (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

eval104.0ms (0.8%)

Memory
12.9MiB live, 173.4MiB allocated
Compiler

Compiled 26 437 to 3 248 computations (87.7% saved)

prune53.0ms (0.4%)

Memory
9.3MiB live, 85.4MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New54218560
Fresh121628
Picked325
Done022
Total55738595
Accuracy
99.6%
Counts
595 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.7%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
72.8%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
▶76.1%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
70.3%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
✓93.6%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
38.2%
(*.f64 (log1p.f64 (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
69.1%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
▶54.9%
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
10.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
49.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
45.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
14.4%
(*.f64 c (-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))))
42.5%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
50.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
▶27.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
54.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
53.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
68.8%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
31.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
53.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
52.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
72.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y))
✓40.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
26.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
27.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
56.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
✓58.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓57.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
▶55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
55.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
32.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (*.f64 x x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
57.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
34.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) (/.f64 x y) (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64)))))
Compiler

Compiled 2 968 to 1 999 computations (32.6% saved)

simplify205.0ms (1.6%)

Memory
5.1MiB live, 276.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff0
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
cost-diff320
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))
cost-diff0
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
cost-diff128
(fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))
cost-diff256
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))
cost-diff0
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y))
cost-diff0
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
cost-diff320
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
cost-diff0
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff0
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
cost-diff320
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01091042
01581035
13211019
27861007
32971930
45480923
08266819
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
c
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
(*.f64 y x)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x)
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y))
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)
(*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
c
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
(*.f64 x x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
y
#s(literal -3 binary64)
(*.f64 y y)
#s(literal 1/6 binary64)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))
#s(literal -1/2 binary64)
(-.f64 y (*.f64 y y))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
(neg.f64 x)
(*.f64 x x)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
c
Outputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(*.f64 c (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
c
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) x))
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x)
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) x)
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y))
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)
(*.f64 (*.f64 c y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) c)
c
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
(*.f64 x x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)) (*.f64 x x))) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)
(*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64))) y (/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x))
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
y
#s(literal -3 binary64)
(*.f64 y y)
#s(literal 1/6 binary64)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))
(/.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x)) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(-.f64 y (*.f64 y y))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
(neg.f64 x)
(*.f64 x x)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
(log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
c

localize559.0ms (4.2%)

Memory
-42.8MiB live, 535.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25027468154280597
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy1.1574710084590398
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy3.85487494866206
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
accuracy16.87655844616855
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy5.183585493320824
(fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))
accuracy9.800742030773916
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x)))
accuracy25.97424143564325
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))
accuracy27.78549581086421
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
accuracy1.6268252669832384
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)
accuracy3.996468115719952
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x)
accuracy11.499057799303458
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y))
accuracy26.20129572930536
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
accuracy0.0
(*.f64 y x)
accuracy3.85487494866206
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
accuracy26.145006049843623
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
accuracy0.1171875
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy0.24985569949937644
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
accuracy3.85487494866206
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
accuracy14.135659364188951
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Samples
371.0ms176×1valid
78.0ms80×0valid
Compiler

Compiled 1 734 to 212 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 339.0ms
ival-mult: 127.0ms (37.4% of total)
const: 65.0ms (19.1% of total)
ival-add: 38.0ms (11.2% of total)
adjust: 33.0ms (9.7% of total)
ival-pow: 28.0ms (8.2% of total)
ival-div: 16.0ms (4.7% of total)
ival-e: 8.0ms (2.4% of total)
ival-log1p: 7.0ms (2.1% of total)
ival-expm1: 6.0ms (1.8% of total)
ival-exp: 5.0ms (1.5% of total)
ival-sub: 4.0ms (1.2% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series187.0ms (1.4%)

Memory
11.6MiB live, 369.6MiB allocated
Counts
26 → 205
Calls
Call 1
Inputs
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
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(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
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(* c (* y (+ 1 (+ (* 1/2 x) (* (pow x 2) (+ 1/6 (* 1/24 x)))))))
(* -1 (* c (* x (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2))))))))))
(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x y)
(* x (+ y (* x (- y (* 1/2 y)))))
(* x (+ y (* x (- (+ y (* x (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y)))))
(* x (+ y (* x (- (+ y (* x (- (+ (* 2/3 y) (* x (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y)))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))))
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x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
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(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
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(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))))))
(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
(+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
(/ y (pow x 2))
(/ (+ y (* 1/2 (* x (- y (pow y 2))))) (pow x 2))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1/2 (* x (- y (pow y 2))))) x)
(* x (* y (log (E))))
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(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
(+ (* 1/2 (* c (* x y))) (* c y))
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(+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
(/ (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))) (pow x 2))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
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(* 1/2 (/ (- y (pow y 2)) x))
(/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)
(* -1/2 (- y (pow y 2)))
(+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))
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(/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))
(* 1/24 (* c (* (pow x 3) y)))
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(* (pow x 3) (+ (* 1/24 (* c y)) (+ (* 1/6 (/ (* c y) x)) (* 1/2 (/ (* c y) (pow x 2))))))
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(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
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(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))
(+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x)))
(+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 3)))))
(* (pow x 3) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/720 (/ 1/2 (pow x 3)))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (* c (- y (pow y 2))) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c y)) (* 1/2 (/ (* c y) x))) x)) (* -1/24 (* c y)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c y))) x)) (* 1/6 (* c y))) x)) (* -1/24 (* c y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
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(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (/ 1/2 (pow x 3))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (- (/ 1 x) 1/2) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))))
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(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
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(* -1/4 (* c (* (pow x 4) (pow y 4))))
(* (pow y 4) (+ (* -1/4 (* c (pow x 4))) (/ (* c (* (pow x 3) (+ 1/3 (* 1/2 x)))) y)))
(* (pow y 4) (+ (* -1/4 (* c (pow x 4))) (+ (/ (* c (* (pow x 3) (+ 1/3 (* 1/2 x)))) y) (/ (* x (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) (pow y 2)))))
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(* -1/4 (* c (* (pow x 3) (pow y 4))))
(* (pow y 4) (+ (* -1/4 (* c (pow x 3))) (/ (* c (* (pow x 2) (+ 1/3 (* 1/2 x)))) y)))
(* (pow y 4) (+ (* -1/2 (/ (* c x) (pow y 2))) (+ (* -1/4 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (+ 1/3 (* 1/2 x)))) y) (/ (* c (* (pow x 2) (- (* -7/24 x) 1/2))) (pow y 2))))))
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(* -1/2 (/ (pow y 2) x))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1 (* (pow x 2) y))) (* 1/2 (/ 1 x))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) y))))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
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(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (* 1/3 (pow x 2))))
(* (pow y 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (pow x 2)) (/ (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (pow y 2)))))
(* 1/3 (pow y 3))
(* (pow y 3) (+ 1/3 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y))))
(* (pow y 3) (- (+ 1/3 (+ (/ 1/6 (pow y 2)) (+ (* 1/2 (/ 1 (* x (pow y 2)))) (/ 1 (* (pow x 2) (pow y 2)))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))
(* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))) (/ (* c (+ 1 (exp x))) (* y (- (exp (* 2 x)) 1))))
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(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
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(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3)))
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Calls

9 calls:

TimeVariablePointExpression
42.0ms
c
@0
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32.0ms
c
@inf
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30.0ms
x
@-inf
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27.0ms
c
@-inf
((* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (* (* c (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1))) y) (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) -1/2) x) 1) x) (+ (* (* x x) -1/720) 1/12))
20.0ms
x
@inf
((* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (* (* c (+ (* (+ (* 1/24 x) 1/6) (* x x)) (+ (* 1/2 x) 1))) y) (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) -1/2) x) 1) x) (+ (* (* x x) -1/720) 1/12))

simplify199.0ms (1.5%)

Memory
34.1MiB live, 218.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010466340
135575981
267875905
081025220
Stop Event
1×iter limit
1×node limit
Counts
205 → 203
Calls
Call 1
Inputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
(* c (* y (+ 1 (+ (* 1/2 x) (* (pow x 2) (+ 1/6 (* 1/24 x)))))))
(* -1 (* c (* x (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2))))))))))
(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x y)
(* x (+ y (* x (- y (* 1/2 y)))))
(* x (+ y (* x (- (+ y (* x (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y)))))
(* x (+ y (* x (- (+ y (* x (- (+ (* 2/3 y) (* x (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (* 1/2 y)))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
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(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))))))))
(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
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(/ y (pow x 2))
(/ (+ y (* 1/2 (* x (- y (pow y 2))))) (pow x 2))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1/2 (* x (- y (pow y 2))))) x)
(* x (* y (log (E))))
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(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
(+ (* 1/2 (* c (* x y))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y)))))
(+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y)))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
(/ (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))) (pow x 2))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
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(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))
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(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (* c (* (pow x 4) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))
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(/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)
(* -1/2 (- y (pow y 2)))
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(* 1/24 (* c (* (pow x 3) y)))
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(* (pow x 3) (+ (* 1/24 (* c y)) (+ (* 1/6 (/ (* c y) x)) (+ (* 1/2 (/ (* c y) (pow x 2))) (/ (* c y) (pow x 3))))))
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(+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x)))
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(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 3)))))
(* (pow x 3) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) (+ 1/720 (/ 1/2 (pow x 3)))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (* c (- y (pow y 2))) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)) x)) (* -1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (* c y) x)) (* -1/24 (* c y)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c y)) (* 1/2 (/ (* c y) x))) x)) (* -1/24 (* c y)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c y))) x)) (* 1/6 (* c y))) x)) (* -1/24 (* c y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (/ 1/2 (pow x 3))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (- (/ 1 x) 1/2) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
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(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
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Outputs
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(* -1 (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) 1/3)))
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(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) 1/6) y)) (+ 1/2 (* 1/2 (/ 1 x)))) y)) 1/3)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y) #s(literal 1/3 binary64)))

rewrite176.0ms (1.3%)

Memory
7.6MiB live, 166.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109808
0158787
1723720
25980720
08093648
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 266
Calls
Call 1
Inputs
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
(*.f64 y x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x)
#s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x)))
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
Outputs
(*.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 y (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))
(/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(*.f64 c (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y)) c)
(*.f64 c #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y)))
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))

eval432.0ms (3.3%)

Memory
-118.5MiB live, 188.0MiB allocated
Compiler

Compiled 33 120 to 3 193 computations (90.4% saved)

prune75.0ms (0.6%)

Memory
-2.6MiB live, 81.6MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New45312465
Fresh82129
Picked325
Done044
Total46439503
Accuracy
99.6%
Counts
503 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(*.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) c)
71.7%
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
76.1%
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
75.4%
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))) c)
72.8%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
70.3%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
✓93.6%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
37.5%
(*.f64 (log1p.f64 (*.f64 y (exp.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
69.1%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
68.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
70.4%
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
✓54.9%
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
10.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
49.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
45.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))))
42.5%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
50.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
68.8%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
27.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
54.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
53.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
19.8%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
31.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
52.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
72.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y))
✓40.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
26.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
27.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
✓58.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓57.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
✓55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
55.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
57.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
34.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) (/.f64 x y) (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64)))))
Compiler

Compiled 4 823 to 1 765 computations (63.4% saved)

regimes175.0ms (1.3%)

Memory
27.9MiB live, 329.8MiB allocated
Counts
78 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
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(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))))))
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Calls

9 calls:

26.0ms
x
22.0ms
y
21.0ms
c
19.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
19.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
93.6%1c
93.6%1x
99.3%3y
93.6%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
93.6%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
93.6%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
93.6%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
93.6%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.6%1(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes25.0ms (0.2%)

Memory
-16.7MiB live, 57.6MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (*.f64 x x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) x) #s(literal 2 binary64)) (*.f64 y y)))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) (/.f64 x y) (fma.f64 (*.f64 #s(literal 1/3 binary64) c) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
(*.f64 (log1p.f64 (*.f64 y (exp.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal -1 binary64))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(*.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) #s(literal -1 binary64))))) c)
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Calls

1 calls:

21.0ms
y
Results
AccuracySegmentsBranch
93.6%1y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes167.0ms (1.3%)

Memory
5.3MiB live, 214.3MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
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(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) c) (*.f64 x x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
Outputs
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

9 calls:

37.0ms
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
27.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
22.0ms
x
14.0ms
c
14.0ms
y
Results
AccuracySegmentsBranch
76.1%1c
83.5%2x
76.1%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
76.1%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
76.1%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
86.2%4(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
83.4%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
83.4%2(pow.f64 (E.f64) x)
86.4%3y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes19.0ms (0.1%)

Memory
-5.6MiB live, 30.8MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
(*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) y))) c)
Outputs
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)
Calls

1 calls:

16.0ms
y
Results
AccuracySegmentsBranch
86.3%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.1%)

Memory
-4.5MiB live, 32.8MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
Outputs
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
86.3%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes54.0ms (0.4%)

Memory
-1.9MiB live, 81.1MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

4 calls:

16.0ms
y
13.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
12.0ms
x
9.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
83.4%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
83.4%2(pow.f64 (E.f64) x)
83.4%2x
84.4%3y
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes34.0ms (0.3%)

Memory
5.8MiB live, 43.3MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

3 calls:

13.0ms
x
9.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
9.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
83.4%2x
83.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
83.3%2(pow.f64 (E.f64) x)
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes36.0ms (0.3%)

Memory
10.6MiB live, 83.6MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64)))))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
Calls

3 calls:

14.0ms
x
10.0ms
(pow.f64 (E.f64) x)
8.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
83.2%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
83.2%2(pow.f64 (E.f64) x)
83.2%2x
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes50.0ms (0.4%)

Memory
15.2MiB live, 59.0MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c)
Calls

5 calls:

13.0ms
x
10.0ms
y
8.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
8.0ms
(pow.f64 (E.f64) x)
8.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
84.2%3y
84.2%4(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
82.8%2x
82.7%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
82.7%2(pow.f64 (E.f64) x)
Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes118.0ms (0.9%)

Memory
-10.4MiB live, 140.7MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (expm1.f64 x) y)))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
Calls

9 calls:

32.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
17.0ms
x
13.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
11.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
9.0ms
c
Results
AccuracySegmentsBranch
70.9%2c
68.8%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
68.8%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
68.8%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
72.1%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
68.8%1y
71.8%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
71.8%2(pow.f64 (E.f64) x)
72.1%2x
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes79.0ms (0.6%)

Memory
26.0MiB live, 139.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) c)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (exp 3) (* 1/3 x)) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x)) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) #s(approx (* (+ (* (+ (* (+ (* 2 y) -3) (* y y)) y) 1/6) (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x))) (* x x)) (*.f64 (*.f64 (*.f64 x x) y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/2 binary64) x))))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) c (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64))) y (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) #s(approx (/ (+ (* -1/2 (- y (* y y))) (/ (neg y) x)) (neg x)) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y x)) x))) (*.f64 x x))) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) x)) (neg.f64 x))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y))
Calls

9 calls:

12.0ms
x
9.0ms
y
9.0ms
c
9.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
8.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
58.2%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
60.7%2y
58.2%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
58.2%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
58.2%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
62.3%2c
60.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
60.3%2(pow.f64 (E.f64) x)
60.3%2x
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes71.0ms (0.5%)

Memory
-57.5MiB live, 5.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (*.f64 c x) #s(literal 1/6 binary64))) x c) x)) y))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
Calls

1 calls:

3.0ms
c
Results
AccuracySegmentsBranch
62.1%2c
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

9 calls:

1.0ms
c
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
1.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Results
AccuracySegmentsBranch
57.9%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
57.9%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
57.9%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
57.9%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
57.9%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
57.9%1(pow.f64 (E.f64) x)
57.9%1x
57.9%1y
57.9%1c
Compiler

Compiled 49 to 59 computations (-20.4% saved)

bsearch81.0ms (0.6%)

Memory
-15.8MiB live, 22.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.375613607021233e-37
3.100722133047745e-33
4.0ms
-7.173341226146674e-59
-6.805604281404239e-59
Samples
20.0ms93×1valid
4.0ms51×0valid
Compiler

Compiled 357 to 295 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 8.0ms (40.9% of total)
ival-e: 4.0ms (20.4% of total)
ival-mult: 3.0ms (15.3% of total)
adjust: 2.0ms (10.2% of total)
ival-log1p: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch92.0ms (0.7%)

Memory
30.7MiB live, 104.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
1.2617625581765242e+41
6.962097731099907e+41
42.0ms
-61.21978961739678
-1.0353363422893719e-20
Samples
66.0ms214×1valid
5.0ms58×0valid
3.0ms36×0invalid
Compiler

Compiled 760 to 641 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 22.0ms (36.1% of total)
ival-pow: 19.0ms (31.2% of total)
ival-e: 8.0ms (13.1% of total)
adjust: 4.0ms (6.6% of total)
ival-log1p: 4.0ms (6.6% of total)
ival-sub: 3.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
-25.8MiB live, 16.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.123753126594768
51.638387598398474
1.0ms
-61.21978961739678
-1.0353363422893719e-20
Samples
19.0ms31×1valid
2.0ms23×0invalid
0.0ms1×0valid
Compiler

Compiled 558 to 477 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 12.0ms (63.9% of total)
ival-pow: 3.0ms (16% of total)
adjust: 1.0ms (5.3% of total)
ival-e: 1.0ms (5.3% of total)
ival-mult: 1.0ms (5.3% of total)
ival-log1p: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.123753126594768
51.638387598398474
1.0ms
-61.21978961739678
-1.0353363422893719e-20
Compiler

Compiled 506 to 435 computations (14% saved)

bsearch21.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
-245516.6902726749
-3248.361516343513
Samples
10.0ms112×0valid
3.0ms31×0invalid
Compiler

Compiled 295 to 254 computations (13.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow: 4.0ms (41.7% of total)
ival-mult: 2.0ms (20.9% of total)
ival-sub: 1.0ms (10.4% of total)
ival-log1p: 1.0ms (10.4% of total)
ival-e: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Memory
1.3MiB live, 38.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
73.0ms
-68793380197368.59
-245516.6902726749
Samples
63.0ms144×0valid
3.0ms37×0invalid
Compiler

Compiled 348 to 304 computations (12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 5.0ms (41.6% of total)
ival-mult: 2.0ms (16.6% of total)
ival-e: 2.0ms (16.6% of total)
ival-sub: 1.0ms (8.3% of total)
ival-log1p: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-245516.6902726749
-3248.361516343513
Compiler

Compiled 253 to 226 computations (10.7% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-68793380197368.59
-245516.6902726749
Compiler

Compiled 375 to 313 computations (16.5% saved)

bsearch47.0ms (0.4%)

Memory
-26.4MiB live, 48.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
4.355791265658253e-275
1.4295076494679519e-273
Samples
28.0ms94×1valid
1.0ms5×1invalid
1.0ms18×0valid
Compiler

Compiled 428 to 303 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 8.0ms (42.9% of total)
ival-e: 3.0ms (16.1% of total)
adjust: 2.0ms (10.7% of total)
ival-mult: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.4% of total)
ival-log1p: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
3.6MiB live, 43.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
3.930782821263225e+26
2.429520940206947e+28
Samples
30.0ms73×1valid
3.0ms39×0valid
Compiler

Compiled 449 to 324 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 15.0ms (50.6% of total)
ival-pow: 7.0ms (23.6% of total)
ival-e: 3.0ms (10.1% of total)
ival-sub: 1.0ms (3.4% of total)
adjust: 1.0ms (3.4% of total)
ival-log1p: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
4.1MiB live, 38.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
29.0ms
24339564866062.957
3750911384788142000.0
Samples
23.0ms52×1valid
2.0ms28×0valid
Compiler

Compiled 225 to 171 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-e: 14.0ms (61.1% of total)
ival-pow: 5.0ms (21.8% of total)
ival-sub: 1.0ms (4.4% of total)
adjust: 1.0ms (4.4% of total)
ival-mult: 1.0ms (4.4% of total)
ival-log1p: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify42.0ms (0.3%)

Memory
2.5MiB live, 81.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0162648
1199648
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -3957737425103581/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5261405894391251/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 127999999999999992282773295565206859022336 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -250000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -250000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c))
(if (<=.f64 x #s(literal 6860701064025599/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 8200000000000000493787021312 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 100000000000000000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Outputs
(if (<=.f64 y #s(literal -3957737425103581/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5261405894391251/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -3957737425103581/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 5261405894391251/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 127999999999999992282773295565206859022336 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))))) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 5 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) y)) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -3512807709348987/9007199254740992 binary64)) (*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) c) (if (<=.f64 y #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 x #s(literal -250000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -250000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -3300 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 x #s(literal -250000 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 #s(approx (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (*.f64 x y))) c))
(if (<=.f64 x #s(literal 6860701064025599/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) c) x (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 8200000000000000493787021312 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 c) x) (* 1/2 c)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 100000000000000000 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))

soundness1.5s (11.7%)

Memory
32.7MiB live, 1 450.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061395
0109395
1411395
23348395
08254376
058375
0100374
1369335
22870313
08465272
02831289
110181107
233831081
08421988
010466340
135575981
267875905
081025220
01146
01846
17046
245440
3496040
0894025
09804540
134834367
086513858
0109808
0158787
1723720
25980720
08093648
07793928
127093628
270323588
080773119
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
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 255 to 1 025 computations (54.5% saved)

preprocess135.0ms (1%)

Memory
3.8MiB live, 250.3MiB allocated
Remove

(negabs c)

Compiler

Compiled 1 546 to 492 computations (68.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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