Logarithmic Transform

Time bar (total: 12.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze200.0ms (1.6%)

Memory
-4.2MiB live, 354.6MiB 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)

sample3.6s (28.8%)

Memory
-108.3MiB live, 3 815.0MiB allocated
Samples
1.6s4 634×1valid
526.0ms1 664×1exit
342.0ms3 622×0valid
236.0ms682×1invalid
64.0ms635×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-pow: 1.2s (52.1% of total)
ival-e: 323.0ms (14.2% of total)
ival-mult: 220.0ms (9.7% of total)
ival-log1p: 178.0ms (7.8% of total)
ival-sub: 176.0ms (7.7% of total)
adjust: 167.0ms (7.4% of total)
ival-true: 9.0ms (0.4% of total)
exact: 9.0ms (0.4% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

explain459.0ms (3.7%)

Memory
3.5MiB live, 684.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1740-0-(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
14646(-8.58135619227103e-256 -3.186352535752986e-128 -7.568998284813667e-301)22(1.020152830011976e+42 -4.399656755955188e+194 8.906467127304127e-237)(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
180-18(-1.4973274061252823e+242 -1.6724475692135963e-272 1.672956779181214e-204)(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
019(2.0951635826330903e-146 -1.5150965154884537e+244 1.0676966125239973e-65)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)))sensitivity1690
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation360
+.f64(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))cancellation190
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 -
+1591
-5838
Precision
0.7327188940092166
Recall
0.99375
Confusion?
Predicted +Predicted MaybePredicted -
+15901
-58038
Precision?
0.7327188940092166
Recall?
0.99375
Freqs
test
numberfreq
039
1209
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms336×1valid
18.0ms176×0valid
Compiler

Compiled 220 to 88 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-pow: 35.0ms (40.1% of total)
ival-e: 16.0ms (18.3% of total)
ival-mult: 10.0ms (11.5% of total)
adjust: 8.0ms (9.2% of total)
ival-log1p: 8.0ms (9.2% of total)
ival-sub: 5.0ms (5.7% of total)
ival-add: 4.0ms (4.6% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess120.0ms (1%)

Memory
4.9MiB live, 46.9MiB 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)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.5%
(*.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)

simplify21.0ms (0.2%)

Memory
-19.6MiB live, 16.4MiB 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

localize123.0ms (1%)

Memory
23.1MiB live, 95.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy4.230527542202005
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy33.479516977620605
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy40.03465116365186
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Samples
66.0ms88×0valid
47.0ms168×1valid
Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-e: 48.0ms (57.9% of total)
ival-pow: 17.0ms (20.5% of total)
ival-mult: 5.0ms (6% of total)
adjust: 4.0ms (4.8% of total)
ival-log1p: 4.0ms (4.8% of total)
ival-sub: 2.0ms (2.4% of total)
ival-add: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series257.0ms (2.1%)

Memory
-33.2MiB live, 343.3MiB allocated
Counts
5 → 49
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))
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 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(* 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
77.0ms
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))
53.0ms
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))
38.0ms
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))
23.0ms
y
@-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))
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))

simplify294.0ms (2.4%)

Memory
15.1MiB live, 242.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801255
110101079
233681053
08389965
Stop Event
1×iter limit
1×node limit
Counts
49 → 49
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 (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))

rewrite264.0ms (2.1%)

Memory
12.5MiB live, 211.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
01843
17043
245438
3496038
0894023
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 321
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))
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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.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 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
(/.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))))
(neg.f64 (/.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))))))
(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))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x) #s(literal 1 binary64))
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(/.f64 #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)))
(neg.f64 (neg.f64 (expm1.f64 x)))
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(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64))
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(expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)))
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(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.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 #s(literal 3 binary64)) x) (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)))
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(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval549.0ms (4.4%)

Memory
-13.3MiB live, 106.5MiB allocated
Compiler

Compiled 8 985 to 1 873 computations (79.2% saved)

prune15.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New35315368
Fresh000
Picked101
Done000
Total35415369
Accuracy
99.5%
Counts
369 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.0%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
33.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))))))
52.9%
(*.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)))))))
52.5%
(*.f64 c (log.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
17.2%
(*.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))))
▶35.6%
(*.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))))
36.4%
(*.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)))))
37.3%
(*.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)))))
38.7%
(*.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)))
48.8%
(*.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)))
53.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
▶42.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
▶59.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 760 to 500 computations (34.2% saved)

simplify270.0ms (2.2%)

Memory
-2.0MiB live, 195.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)
cost-diff0
(*.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))))
cost-diff64
(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)))
cost-diff128
(+.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))
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-diff64
(pow.f64 (E.f64) x)
cost-diff192
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
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
049429
088426
1151426
2334426
3897381
42654381
54670381
67893381
08206360
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
(*.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))))
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 #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))
#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)
#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))
(*.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)
(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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)
#s(literal 1/2 binary64)
y
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(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 1/6 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #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 1/6 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) 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)
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) 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 y (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) 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 y (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) 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)
(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))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(*.f64 (expm1.f64 x) c)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(expm1.f64 x)
(pow.f64 (E.f64) x)
(exp.f64 x)
(E.f64)
x
#s(literal 1 binary64)
c
y
(*.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 #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)) c)
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)))
(log1p.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)) y))
(+.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))
(fma.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 #s(literal 1 binary64))
#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)
#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))
(*.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)
(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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)
#s(literal 1/2 binary64)
y

localize323.0ms (2.6%)

Memory
3.0MiB live, 244.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy4.230527542202005
(*.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))))
accuracy20.203870453706955
#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))
accuracy33.479516977620605
(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)))
accuracy0.0078125
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
accuracy4.092579181205316
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
accuracy15.41846674050564
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
accuracy40.03465116365186
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy4.230527542202005
(*.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)))
accuracy4.524378334408173
(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)
accuracy11.934587841531616
(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)))
accuracy26.285480282115397
#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
(*.f64 c y)
accuracy3.923214840329046
(*.f64 (*.f64 c y) x)
accuracy25.76302294505301
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
accuracy0
(expm1.f64 x)
accuracy0.01171875
(*.f64 y (expm1.f64 x))
accuracy0.24208757662611055
(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy4.230527542202005
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Samples
230.0ms168×1valid
29.0ms88×0valid
Compiler

Compiled 762 to 96 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-pow: 62.0ms (32.5% of total)
ival-mult: 42.0ms (22% of total)
adjust: 39.0ms (20.5% of total)
ival-add: 13.0ms (6.8% of total)
const: 9.0ms (4.7% of total)
ival-e: 7.0ms (3.7% of total)
ival-expm1: 6.0ms (3.1% of total)
ival-log1p: 6.0ms (3.1% of total)
ival-sub: 4.0ms (2.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series332.0ms (2.7%)

Memory
-17.1MiB live, 419.5MiB allocated
Counts
23 → 140
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))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) 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 #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))
(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 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 #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)
(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)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
#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))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
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))
(* 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))))))))))))
(* 1/2 (- y (pow y 2)))
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(* 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)))))
(* 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
(+ 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)))))))
(* 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))))))))))
(+ 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 (+ (* 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)))))
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))))))
(* 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)))))))))
1/6
(+ 1/6 (* 1/24 x))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 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))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(- (pow (E) x) 1)
(pow (E) x)
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (pow (E) x) 1))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (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)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* c (* y (- (exp x) 1)))
(* 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))))
(* 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 (+ 1/2 (* 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)))
(* 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))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))))
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp 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))))))
(* 1/3 (* x (pow y 3)))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y))))
(* (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))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(+ (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)))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* 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)))))
(* 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))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp 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))))))
(* -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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -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)))))
Calls

9 calls:

TimeVariablePointExpression
81.0ms
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))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (+ 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6))
60.0ms
y
@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))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (+ 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6))
48.0ms
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))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (+ 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6))
39.0ms
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))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (+ 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6))
37.0ms
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))) (- (pow (E) x) 1) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (+ 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) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* 1/24 x) 1/6))

simplify130.0ms (1.1%)

Memory
43.2MiB live, 230.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06882942
124432766
081232409
Stop Event
1×iter limit
1×node limit
Counts
140 → 138
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))
(* 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))))))))))))
(* 1/2 (- y (pow y 2)))
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(* 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)))))
(* 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
(+ 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)))))))
(* 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))))))))))
(+ 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 (+ (* 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)))))
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))))))
(* 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)))))))))
1/6
(+ 1/6 (* 1/24 x))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 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))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(- (pow (E) x) 1)
(pow (E) x)
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (pow (E) x) 1))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (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)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* c (* y (- (exp x) 1)))
(* 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))))
(* 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 (+ 1/2 (* 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)))
(* 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))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))))
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp 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))))))
(* 1/3 (* x (pow y 3)))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (* 1/3 x)) (* 1/2 (/ 1 y))))
(* (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))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(+ (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)))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* 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)))))
(* 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))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp 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))))))
(* -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 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -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)))))
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)))))
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x y))
(*.f64 (*.f64 x y) c)
(* c y)
(*.f64 c y)
(* c (* y (- (pow (E) x) 1)))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(* c (- (pow (E) x) 1))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(*.f64 (fma.f64 (*.f64 c x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y)) x)
(* 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)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) c) x) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c)) x (*.f64 c y)) x)
(* 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))))))))))))
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(* x y)
(*.f64 x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
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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)))))))))))
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(* x (+ y (* 1/2 (* x y))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x)
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x)
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) y)) x y) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.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 c x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) (*.f64 c y)) x)
(* 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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(* 1/2 (- y (pow y 2)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64)))
(* x (* y (log (E))))
(*.f64 x y)
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #s(literal 1/6 binary64))) x y) x)
(* 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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(* x (log (E)))
x
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(*.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)
1
#s(literal 1 binary64)
(+ 1 (* x (log (E))))
(+.f64 #s(literal 1 binary64) x)
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(fma.f64 (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))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) c (*.f64 c y)) x)
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(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x y)) c (*.f64 (*.f64 #s(literal 1/2 binary64) y) c)) x (*.f64 c y)) x)
(* 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))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) c) y) x (*.f64 (*.f64 #s(literal 1/6 binary64) c) y)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) c)) x (*.f64 c y)) x)
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(fma.f64 x y #s(literal 1 binary64))
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
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y
(+ y (* 1/2 (* x (- y (pow y 2)))))
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(* c (* x (log (E))))
(*.f64 c x)
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(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)
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1/6
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(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(log (+ 1 (* y (- (exp x) 1))))
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(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.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))) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+ (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.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) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x))) (pow.f64 y #s(literal 3 binary64)))
(* -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)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (/.f64 (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)))

rewrite209.0ms (1.7%)

Memory
-20.8MiB live, 387.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049326
088326
1319326
22379326
08954300
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 459
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))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) 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 #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))
(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 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 #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)
(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)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
#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))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
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 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #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) (/.f64 y #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) y) (*.f64 (exp.f64 x) y) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 (exp.f64 x) y) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (exp.f64 x)) (*.f64 y (exp.f64 x)) (-.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 y (exp.f64 x)) (*.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (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 (*.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 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) #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 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #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 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 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.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))))))
(/.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))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.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 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.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)
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))

eval87.0ms (0.7%)

Memory
5.5MiB live, 205.5MiB allocated
Compiler

Compiled 25 936 to 3 399 computations (86.9% saved)

prune38.0ms (0.3%)

Memory
-11.7MiB live, 103.2MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New57422596
Fresh7310
Picked325
Done000
Total58427611
Accuracy
99.6%
Counts
611 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.6%
(*.f64 (log1p.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)) y)) c)
✓93.0%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
64.0%
(*.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)
62.7%
(*.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)
6.4%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
48.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
53.2%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
33.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))))))
52.9%
(*.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)))))))
33.4%
(*.f64 c (+.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.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)) 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)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
38.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
53.6%
(*.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)))
▶53.2%
(*.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 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)))
22.8%
(*.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) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) x)))
▶71.4%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
42.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) c) y))
27.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
▶26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
27.1%
#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))
54.5%
#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))
54.7%
#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))
▶55.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓59.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
54.5%
#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))
55.6%
#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))
54.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
Compiler

Compiled 1 709 to 1 075 computations (37.1% saved)

simplify259.0ms (2.1%)

Memory
3.5MiB live, 281.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067564
0100564
1187564
2432564
31205511
43565507
56045507
08066485
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
x
c
y
#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 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c)
(-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
c
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 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)))
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))
(*.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 (+ (* (+ (* (* 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))
(*.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)
(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))
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)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (log1p.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)) y)) c)
(log1p.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)) y))
(*.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)
#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))
(*.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)
(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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
c
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
x
c
y
#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 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) y (neg.f64 y)) c))
(*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)
(*.f64 (fma.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) y (neg.f64 y)) c)
(*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c)
(fma.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) c (neg.f64 c))
(-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
c
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 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)))
(*.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 (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))) x #s(literal 1 binary64)) y)) 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 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 (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 -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) y)) x))
(*.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)
(*.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 -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) y)) x)
#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))
#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 -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) 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)
(*.f64 (fma.f64 (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))) x #s(literal 1 binary64)) y)
(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))
(fma.f64 (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))) x #s(literal 1 binary64))
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)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (log1p.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)) y)) c)
(log1p.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)) y))
(*.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)
#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))
(*.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)
(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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
c

localize237.0ms (1.9%)

Memory
6.7MiB live, 442.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy0.24208757662611055
(log1p.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)) y))
accuracy4.230527542202005
(*.f64 (log1p.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)) y)) c)
accuracy20.203870453706955
#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))
accuracy2.1711102937896407
(*.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)
accuracy4.230527542202005
(*.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)))
accuracy7.402061627485086
#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))
accuracy26.285480282115397
#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))
accuracy4.092579181205316
(*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)
accuracy15.41846674050564
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
accuracy20.003400023742763
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy40.03465116365186
(-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
accuracy4.092579181205316
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
accuracy15.41846674050564
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
accuracy19.987691692675572
#s(approx (- (pow (E) x) 1) x)
accuracy0
(expm1.f64 x)
accuracy0.0078125
(*.f64 (expm1.f64 x) c)
accuracy4.092579181205316
(*.f64 (*.f64 (expm1.f64 x) c) y)
accuracy15.41846674050564
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
Samples
159.0ms168×1valid
35.0ms88×0valid
Compiler

Compiled 918 to 129 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 60.0ms (39.4% of total)
adjust: 20.0ms (13.1% of total)
ival-add: 20.0ms (13.1% of total)
ival-pow: 17.0ms (11.2% of total)
const: 9.0ms (5.9% of total)
ival-e: 8.0ms (5.3% of total)
ival-log1p: 7.0ms (4.6% of total)
ival-expm1: 6.0ms (3.9% of total)
ival-sub: 4.0ms (2.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series198.0ms (1.6%)

Memory
1.8MiB live, 329.4MiB allocated
Counts
23 → 130
Calls
Call 1
Inputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
#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)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c)
(-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.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 (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))
(*.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 (+ (* (+ (* (* 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))
(*.f64 (log1p.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)) y)) c)
(log1p.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)) y))
(*.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)
#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))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.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)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (exp x) 1)))
(* c (- (exp x) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (* x y))
(* 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 (+ (* 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
(* 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 (+ (* 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))))))))
(* 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)))))
(* x y)
(* x (+ y (* 1/2 (* x (- y (pow y 2))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
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))))))
(* 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)))))
1
(+ 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)))))))
(+ y (* x (* y (+ 1/2 (* -1/2 y)))))
(+ y (* x (+ (* x (* y (+ 1/6 (* -1/2 y)))) (* y (+ 1/2 (* -1/2 y))))))
1/6
(+ 1/6 (* 1/24 x))
(- (exp x) 1)
(- (pow (E) x) 1)
(log (+ 1 (* y (- (pow (E) x) 1))))
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (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)))))
(* y (- (pow (E) x) 1))
(pow (E) x)
(* (pow x 2) (* y (+ 1/6 (* -1/2 y))))
(* (pow x 2) (+ (* y (+ 1/6 (* -1/2 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)))
(* (pow x 2) (+ (* y (+ 1/6 (* -1/2 y))) (+ (/ y (pow x 2)) (/ (* y (+ 1/2 (* -1/2 y))) x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* -1 (* (pow x 2) (* y (- (* 1/2 y) 1/6))))
(* (pow x 2) (+ (* -1 (* y (- (* 1/2 y) 1/6))) (/ (* y (+ 1/2 (* -1/2 y))) x)))
(* (pow x 2) (+ (* -1 (* y (- (* 1/2 y) 1/6))) (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x))) x))))
(* 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 (+ (* -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 (- (+ (* -1/2 (* 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))
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2)))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2))))))
(* y (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* y (+ 1 (+ (* x (* y (- (* -1/2 x) 1/2))) (* x (+ 1/2 (* 1/6 x))))))
(* y (+ 1 (+ (* x (+ 1/2 (* 1/6 x))) (* y (+ (* 1/3 (* (pow x 2) y)) (* x (- (* -1/2 x) 1/2)))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
(* 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))))))
(+ (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)))))
(* 1/3 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) 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)))))
(* x (* (pow y 2) (- (* -1/2 x) 1/2)))
(* (pow y 2) (+ (* x (- (* -1/2 x) 1/2)) (+ (/ 1 y) (/ (* x (+ 1/2 (* 1/6 x))) y))))
(* 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))))))
(* 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))))))
(+ (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) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(* -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)))))
Calls

9 calls:

TimeVariablePointExpression
59.0ms
c
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 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) (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (+ (* 1/24 x) 1/6))
34.0ms
c
@0
((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 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) (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (+ (* 1/24 x) 1/6))
24.0ms
c
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 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) (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (+ (* 1/24 x) 1/6))
22.0ms
x
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 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) (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (+ (* 1/24 x) 1/6))
20.0ms
x
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) 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) (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (+ (* 1/24 x) 1/6))

simplify135.0ms (1.1%)

Memory
8.1MiB live, 203.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06612877
123872682
082262368
Stop Event
1×iter limit
1×node limit
Counts
130 → 128
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (exp x) 1)))
(* c (- (exp x) 1))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (* x y))
(* 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 (+ (* 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)))))
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(* x y)
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y
(+ y (* 1/2 (* x (- y (pow y 2)))))
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1
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1/6
(+ 1/6 (* 1/24 x))
(- (exp x) 1)
(- (pow (E) x) 1)
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(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
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(* y (- (pow (E) x) 1))
(pow (E) x)
(* (pow x 2) (* y (+ 1/6 (* -1/2 y))))
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(* 1/24 x)
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(* (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 (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
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(+ (* -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))))))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
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Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* c (* y (- (exp x) 1)))
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(* c (* x y))
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(* 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))))))))))))
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x
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(* c (* x (* y (log (E)))))
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(*.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c)
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -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)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(+ (* -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))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 c (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y)))
(- (+ (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))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (+.f64 (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y)))
(- (+ (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)))))
(+.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y))) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(* 1/3 (* (pow x 3) (pow y 3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) (/.f64 x y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))
(* 1/3 (* (pow x 2) (pow y 3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) y)) (pow.f64 y #s(literal 3 binary64)))
(* (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)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (fma.f64 x (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (pow.f64 y #s(literal 3 binary64)))
(* x (* (pow y 2) (- (* -1/2 x) 1/2)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) y) x)
(* (pow y 2) (+ (* x (- (* -1/2 x) 1/2)) (+ (/ 1 y) (/ (* x (+ 1/2 (* 1/6 x))) y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) (*.f64 y y))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -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))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 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))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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))) (neg.f64 y)) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.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))) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+ (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (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 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.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) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y)))) (pow.f64 y #s(literal 3 binary64)))
(* -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)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x (/.f64 (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)))

rewrite174.0ms (1.4%)

Memory
-3.6MiB live, 194.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067468
0100468
1430468
23488468
09343430
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 189
Calls
Call 1
Inputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
#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)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c)
(-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.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 (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))
(*.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 (+ (* (+ (* (* 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))
(*.f64 (log1p.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)) y)) c)
(log1p.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)) y))
(*.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)
#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))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.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)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) (*.f64 c y))
(*.f64 c (*.f64 (expm1.f64 x) y))
(*.f64 (*.f64 (expm1.f64 x) y) c)
(*.f64 y (*.f64 (expm1.f64 x) c))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c y))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c y)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
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eval119.0ms (1%)

Memory
1.7MiB live, 92.6MiB allocated
Compiler

Compiled 13 412 to 1 689 computations (87.4% saved)

prune83.0ms (0.7%)

Memory
-19.6MiB live, 57.6MiB allocated
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New29915314
Fresh91120
Picked055
Done022
Total30833341
Accuracy
99.6%
Counts
341 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(*.f64 (+.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.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)) 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)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) c)
✓62.6%
(*.f64 (log1p.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)) y)) c)
62.3%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
▶64.0%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
✓93.0%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
62.7%
(*.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)
6.4%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
▶48.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
▶53.2%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
33.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))))))
52.9%
(*.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)))))))
38.7%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
53.6%
(*.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)))
✓53.2%
(*.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 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)))
23.2%
(*.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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x)))
22.9%
(*.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 (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) x)))
25.1%
(*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
23.1%
(*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.f64 x x)))) x)))
▶53.3%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
▶74.1%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
✓71.4%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
54.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) y))
54.7%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
54.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
55.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
54.7%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
42.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) c) y))
27.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
✓26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
27.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #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))
✓55.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓59.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 2 264 to 1 436 computations (36.6% saved)

simplify249.0ms (2%)

Memory
26.2MiB live, 147.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
cost-diff0
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
cost-diff0
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
cost-diff0
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
cost-diff0
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
cost-diff640
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
cost-diff0
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
cost-diff0
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
cost-diff0
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
cost-diff0
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
cost-diff0
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff6400
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075600
0115600
1215600
2497592
31414575
44123575
54772575
08188506
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 c y)
c
y
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
x
y
c
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
x
c
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
c
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
(*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
(*.f64 c y)
c
y
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
x
y
c
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
x
c
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x y y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x) y))) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
#s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x y y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x) y)))
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x y y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x) y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x y y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x) y)
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x y y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
c

localize511.0ms (4.1%)

Memory
-3.3MiB live, 352.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.24208757662611055
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
accuracy4.230527542202005
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
accuracy20.203870453706955
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy20.763986216132057
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
accuracy4.230527542202005
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
accuracy6.329026088729805
(*.f64 (*.f64 x x) y)
accuracy7.375253204540663
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
accuracy26.285480282115397
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
accuracy2.1891415442665085
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
accuracy4.230527542202005
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
accuracy4.975396900503553
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
accuracy27.18576851123084
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
accuracy0
(*.f64 x y)
accuracy4.230527542202005
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
accuracy26.790564199438883
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
accuracy0.1484375
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
accuracy0.37109375
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
accuracy2.76353994925558
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
accuracy15.41846674050564
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
Samples
291.0ms152×1valid
70.0ms16×2valid
49.0ms88×0valid
Compiler

Compiled 990 to 149 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 369.0ms
ival-mult: 156.0ms (42.3% of total)
ival-expm1: 61.0ms (16.5% of total)
ival-pow: 47.0ms (12.7% of total)
adjust: 42.0ms (11.4% of total)
ival-add: 29.0ms (7.9% of total)
const: 9.0ms (2.4% of total)
ival-e: 7.0ms (1.9% of total)
ival-log1p: 7.0ms (1.9% of total)
ival-sub: 4.0ms (1.1% of total)
ival-div: 3.0ms (0.8% of total)
ival-exp: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series323.0ms (2.6%)

Memory
-17.5MiB live, 266.8MiB allocated
Counts
22 → 147
Calls
Call 1
Inputs
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)))
#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) y)
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2))))
(* c (* y (- (exp (* 3 x)) 1)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(* c (* x y))
(* 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 (+ (* c y) (* x (- (* 3/2 (* c y)) (* c y)))))
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (* c y) (* 5/6 (* c y))))) (* c y)))))
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (+ (* c y) (* x (- (+ (* 5/6 (* c y)) (* 9/8 (* c y))) (+ (* 1/2 (* c y)) (+ (* 5/6 (- (* 3/2 (* c y)) (* c y))) (* c y)))))) (* 5/6 (* c y))))) (* c y)))))
(* 3 (* c (* x y)))
(* x (+ (* 3 (* c y)) (* 9/2 (* c (* x y)))))
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* 9/2 (* c (* x y)))))))
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* x (+ (* 27/8 (* c (* x y))) (* 9/2 (* c y))))))))
(* 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 (* x (* y (+ 1/2 (* -1/2 y))))))
y
(+ y (* x (* y (+ 1/2 (* -1/2 y)))))
x
(* x (+ 1 (* x (+ 1/2 (* -1/2 y)))))
(* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* -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 (* 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)))))
(* x (+ y (* 1/2 (* x (- y (pow y 2))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* 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))))))))
(* 3 x)
(* x (+ 3 (* 9/2 x)))
(* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))
(* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))
(* (pow x 2) y)
1/6
(+ 1/6 (* 1/24 x))
(+ 1 (+ (exp x) (pow (exp x) 2)))
(log (+ 1 (* y (- (exp x) 1))))
(* (pow x 2) (* y (+ 1/2 (* -1/2 y))))
(* (pow x 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)))
(* x (* y (+ 1/2 (* -1/2 y))))
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)))
(* (pow x 3) (+ 1/6 (* -1/2 y)))
(* (pow x 3) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x))))))
(* (pow x 3) (+ 1/6 (+ (* -1/2 y) (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* 1/6 (* (pow x 3) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 3) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(- (exp (* 3 x)) 1)
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x)))))
(* -1 (* (pow x 3) (- (* 1/2 y) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* -1/2 y)) x)) (* 1/2 y)) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (+ (* -1/2 y) (/ 1 x))) x)) (* 1/2 y)) 1/6)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (- y (pow y 2))) (/ y x)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* c (* y (- (exp x) 1)))
(* 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))
(* 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))
(* x (* y (+ 1 (* 1/2 x))))
(* y (+ (* -1/2 (* (pow x 2) y)) (* x (+ 1 (* 1/2 x)))))
(* y (+ 1 (* 1/2 x)))
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2))))
(* 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 (- (+ (* -1/2 (* 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))
(* x (* y (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* (pow x 2) (* y (- (* -1/2 x) 1/2)))))
(* y (+ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (* y (+ (* 1/3 (* (pow x 3) y)) (* (pow x 2) (- (* -1/2 x) 1/2))))))
(* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y)))))
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(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (exp x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (exp x) 1) 3)))) (+ (* c (+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (exp x) 1))))))
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(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp x) 1) 2)))))
(* -1/2 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* (pow x 2) (* y (- (* -1/2 x) 1/2)))
(* y (+ (* (pow x 2) (- (* -1/2 x) 1/2)) (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) y)))
(* 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))))))
(+ (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)))))
(* 1/3 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 3)) (+ (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (pow y 2)) (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y))))
(* 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))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* (pow y 2) (+ (* -1 (/ (* x (- (* -1/2 x) 1)) y)) (* -1/2 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(* -1 (* y (+ (* -1 (* (pow x 2) (- (* -1/2 x) 1/2))) (* -1 (/ (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 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))))))
(+ (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) (+ (* -1 (/ (* (pow x 2) (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
Calls

9 calls:

TimeVariablePointExpression
99.0ms
c
@0
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (- (exp (* x 3)) 1) (* (* x x) y) (+ (* 1/24 x) 1/6))
77.0ms
c
@inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (- (exp (* x 3)) 1) (* (* x x) y) (+ (* 1/24 x) 1/6))
33.0ms
x
@0
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (- (exp (* x 3)) 1) (* (* x x) y) (+ (* 1/24 x) 1/6))
29.0ms
x
@-inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (- (exp (* x 3)) 1) (* (* x x) y) (+ (* 1/24 x) 1/6))
23.0ms
c
@-inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (/ (* (- (exp (* x 3)) 1) (* c y)) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* (- (exp (* x 3)) 1) (* c y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* x y) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (* (log (+ 1 (* (- (pow (E) x) 1) y))) c) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (- (exp (* x 3)) 1) (* (* x x) y) (+ (* 1/24 x) 1/6))

simplify145.0ms (1.2%)

Memory
22.9MiB live, 215.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07413169
126172985
088022606
Stop Event
1×iter limit
1×node limit
Counts
147 → 145
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2))))
(* c (* y (- (exp (* 3 x)) 1)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(* c (* x y))
(* 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 (+ (* c y) (* x (- (* 3/2 (* c y)) (* c y)))))
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (* c y) (* 5/6 (* c y))))) (* c y)))))
(* x (+ (* c y) (* x (- (+ (* 3/2 (* c y)) (* x (- (+ (* c y) (* x (- (+ (* 5/6 (* c y)) (* 9/8 (* c y))) (+ (* 1/2 (* c y)) (+ (* 5/6 (- (* 3/2 (* c y)) (* c y))) (* c y)))))) (* 5/6 (* c y))))) (* c y)))))
(* 3 (* c (* x y)))
(* x (+ (* 3 (* c y)) (* 9/2 (* c (* x y)))))
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* 9/2 (* c (* x y)))))))
(* x (+ (* 3 (* c y)) (* x (+ (* 9/2 (* c y)) (* x (+ (* 27/8 (* c (* x y))) (* 9/2 (* c y))))))))
(* 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 (* x (* y (+ 1/2 (* -1/2 y))))))
y
(+ y (* x (* y (+ 1/2 (* -1/2 y)))))
x
(* x (+ 1 (* x (+ 1/2 (* -1/2 y)))))
(* x (+ 1 (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/6 (* -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 (* 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)))))
(* x (+ y (* 1/2 (* x (- y (pow y 2))))))
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(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
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Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(/ (* c (* y (- (exp (* 3 x)) 1))) (+ 1 (+ (exp x) (pow (exp x) 2))))
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (- (* -1/6 x) 1/2)) 1)) y)) (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 3)))))
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rewrite272.0ms (2.2%)

Memory
-29.5MiB live, 218.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075466
0115466
1478446
23845440
08764382
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 302
Calls
Call 1
Inputs
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y))
(*.f64 x y)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x))
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(fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
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#s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) y)
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) x) (pow.f64 (cbrt.f64 (E.f64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (E.f64)) (E.f64)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (*.f64 (cbrt.f64 (E.f64)) (E.f64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 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)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
(+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c y) (expm1.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 c y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (/.f64 y (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) c) (*.f64 y (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (*.f64 (neg.f64 (*.f64 c y)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 c y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c y) (expm1.f64 x)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c y) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 c y) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 c y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (/.f64 (*.f64 c y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) (-.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) (-.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)
(*.f64 y #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))
#s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (expm1.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (expm1.f64 (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 3 binary64) x)) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) x))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 (*.f64 y x) x)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))

eval83.0ms (0.7%)

Memory
31.2MiB live, 107.9MiB allocated
Compiler

Compiled 23 583 to 2 357 computations (90% saved)

prune51.0ms (0.4%)

Memory
-2.8MiB live, 78.8MiB allocated
Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New43311444
Fresh41721
Picked325
Done167
Total44136477
Accuracy
99.6%
Counts
477 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(*.f64 (+.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) (-.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) c)
✓62.6%
(*.f64 (log1p.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)) y)) c)
62.3%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
✓64.0%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
62.7%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)
64.1%
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
✓93.0%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
48.7%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
6.4%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
52.3%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
✓53.2%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
52.6%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
33.9%
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))))))
52.9%
(*.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)))))))
53.6%
(*.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)))
23.2%
(*.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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) x)))
22.9%
(*.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 (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) x)))
25.1%
(*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
23.1%
(*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.f64 x x)))) x)))
26.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) y))))
60.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)))))
61.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))))
59.7%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 #s(approx (* (- (exp (* x 3)) 1) (* c y)) (*.f64 (*.f64 (*.f64 c y) #s(literal 3 binary64)) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
74.1%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
✓71.4%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
54.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) y))
54.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
55.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
54.7%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
42.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) c) y))
27.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
✓26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
27.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #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))
✓55.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
✓59.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 3 556 to 1 305 computations (63.3% saved)

regimes298.0ms (2.4%)

Memory
-10.6MiB live, 223.9MiB allocated
Counts
64 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) 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)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(*.f64 (log1p.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)) y)) 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))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)))))
(*.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 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 #s(approx (* (- (exp (* x 3)) 1) (* c y)) (*.f64 (*.f64 (*.f64 c y) #s(literal 3 binary64)) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 c y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (log1p.f64 (pow.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) (-.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) c)
(*.f64 c (+.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.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)) 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)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (+.f64 (log1p.f64 (pow.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)) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.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)) 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)) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) c)
(*.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))))
(*.f64 c (log.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.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)))))))
(*.f64 c (/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (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)))))))))
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.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)) y)) c)
Calls

9 calls:

46.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
44.0ms
y
41.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
31.0ms
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
25.0ms
c
Results
AccuracySegmentsBranch
93.0%1c
93.0%1x
99.4%3y
93.0%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
93.0%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
93.0%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
93.0%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
93.0%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.0%1(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes253.0ms (2%)

Memory
7.3MiB live, 163.8MiB allocated
Counts
50 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) 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)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
(*.f64 (log1p.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)) y)) 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))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)))))
Outputs
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.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)) y)) c)
Calls

9 calls:

136.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
22.0ms
y
18.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
16.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
13.0ms
c
Results
AccuracySegmentsBranch
74.5%2c
71.4%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
71.4%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
71.4%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
79.4%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
79.6%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
79.6%2(pow.f64 (E.f64) x)
80.0%2x
86.5%3y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes135.0ms (1.1%)

Memory
-22.3MiB live, 19.7MiB allocated
Counts
47 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) 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)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
Outputs
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)
Calls

1 calls:

133.0ms
y
Results
AccuracySegmentsBranch
86.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
46 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) 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)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) 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)))))
Outputs
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.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

1 calls:

12.0ms
y
Results
AccuracySegmentsBranch
86.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory
-19.7MiB live, 17.2MiB allocated
Counts
43 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) 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)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 c y)) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64))))
Outputs
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) 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)
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
86.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
39 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) 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
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
86.5%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes201.0ms (1.6%)

Memory
-6.8MiB live, 67.2MiB allocated
Counts
36 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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) c) y))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
Calls

6 calls:

123.0ms
c
42.0ms
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)
Results
AccuracySegmentsBranch
71.4%1c
71.4%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
73.7%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
73.7%2(pow.f64 (E.f64) x)
73.7%2x
74.3%2y
Compiler

Compiled 18 to 29 computations (-61.1% saved)

regimes86.0ms (0.7%)

Memory
32.3MiB live, 189.8MiB 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 c x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) x (*.f64 y x))) c)
#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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.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)) c) 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 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 (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) c (*.f64 #s(literal 1/6 binary64) c)) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)))) (*.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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (fma.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/6 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)) (*.f64 x x)))) 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 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))))) 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 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)))) 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
Calls

9 calls:

12.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
9.0ms
x
9.0ms
y
9.0ms
c
Results
AccuracySegmentsBranch
61.8%2c
59.9%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
59.9%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
59.9%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
59.9%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
59.9%1x
59.9%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
59.9%1(pow.f64 (E.f64) x)
59.9%1y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes9.0ms (0.1%)

Memory
-26.2MiB live, 17.3MiB allocated
Counts
20 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (fma.f64 (*.f64 c x) #s(literal 1/2 binary64) c) x)) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) c) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) 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)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)) c)
(*.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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (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))) #s(literal 1 binary64)) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) x) (*.f64 #s(approx (+ (* (* (* x x) y) (+ (* -1/2 x) -1/2)) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x)) 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) #s(approx (* (+ (* x (+ (* (+ (* -1/2 x) -1/2) y) (+ (* 1/6 x) 1/2))) 1) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) y) x) x))) x)))
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 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
Calls

1 calls:

8.0ms
c
Results
AccuracySegmentsBranch
61.4%2c
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -21.9b remaining (-85.3%)

Threshold costs -21.9b (-85.3%)

Counts
7 → 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)
#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 (-.f64 #s(approx (pow (E) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) c) y))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

1 calls:

3.0ms
c
Results
AccuracySegmentsBranch
59.9%1c
Compiler

Compiled 1 to 3 computations (-200% saved)

bsearch31.0ms (0.2%)

Memory
13.4MiB live, 52.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
21.0ms
4.809984870135788e-19
2.294453650286478e-18
6.0ms
-5.425965087943803e-17
-1.2001570993920249e-17
Samples
18.0ms73×1valid
4.0ms55×0valid
Compiler

Compiled 311 to 272 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 7.0ms (41.7% of total)
ival-e: 3.0ms (17.9% of total)
ival-mult: 2.0ms (11.9% of total)
adjust: 1.0ms (6% of total)
ival-sub: 1.0ms (6% of total)
ival-log1p: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-21.5MiB live, 55.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
4.809984870135788e-19
2.294453650286478e-18
30.0ms
-3286621040429286.5
-106225090129.48878
Samples
20.0ms83×1valid
4.0ms45×0valid
0.0ms1×0invalid
Compiler

Compiled 501 to 442 computations (11.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 9.0ms (45% of total)
ival-e: 4.0ms (20% of total)
adjust: 2.0ms (10% of total)
ival-log1p: 2.0ms (10% of total)
ival-mult: 2.0ms (10% of total)
ival-sub: 1.0ms (5% 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
5.1MiB live, 5.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.809984870135788e-19
2.294453650286478e-18
1.0ms
-3286621040429286.5
-106225090129.48878
Compiler

Compiled 531 to 466 computations (12.2% saved)

bsearch2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.809984870135788e-19
2.294453650286478e-18
1.0ms
-3286621040429286.5
-106225090129.48878
Compiler

Compiled 477 to 424 computations (11.1% saved)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.809984870135788e-19
2.294453650286478e-18
1.0ms
-3286621040429286.5
-106225090129.48878
Compiler

Compiled 459 to 412 computations (10.2% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.809984870135788e-19
2.294453650286478e-18
1.0ms
-3286621040429286.5
-106225090129.48878
Compiler

Compiled 435 to 394 computations (9.4% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.809984870135788e-19
2.294453650286478e-18
Compiler

Compiled 219 to 190 computations (13.2% saved)

bsearch30.0ms (0.2%)

Memory
8.0MiB live, 48.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
7.559221466497038e+133
1.2673316131491858e+136
Samples
21.0ms77×1valid
3.0ms35×0valid
Compiler

Compiled 393 to 282 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 7.0ms (35.9% of total)
ival-mult: 5.0ms (25.7% of total)
ival-e: 3.0ms (15.4% of total)
ival-sub: 1.0ms (5.1% of total)
adjust: 1.0ms (5.1% of total)
ival-log1p: 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)

bsearch38.0ms (0.3%)

Memory
-14.1MiB live, 62.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
5.40931191315925e+162
9.173588857018777e+167
Samples
25.0ms91×1valid
4.0ms53×0valid
Compiler

Compiled 456 to 331 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 10.0ms (43% of total)
ival-e: 4.0ms (17.2% of total)
ival-mult: 4.0ms (17.2% of total)
adjust: 2.0ms (8.6% of total)
ival-log1p: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify26.0ms (0.2%)

Memory
17.9MiB live, 56.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107511
1139511
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.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 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) 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)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)))
(if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 c #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 6699999999999999903261647127737467518694074899061315210673809425575041102489518182340197884803088008583174817168269073887600678361226135043484742027820809752412160 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 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Outputs
(if (<=.f64 y #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.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)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.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 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.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 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) 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)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.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 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)))
(if (<=.f64 y #s(literal -110000000000 binary64)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c) (if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) y)) c)))
(if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))))
(if (<=.f64 y #s(literal 5841333965851681/2596148429267413814265248164610048 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c))
(if (<=.f64 c #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)))
(if (<=.f64 c #s(literal 6699999999999999903261647127737467518694074899061315210673809425575041102489518182340197884803088008583174817168269073887600678361226135043484742027820809752412160 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 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))

soundness1.0s (8.1%)

Memory
4.8MiB live, 929.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06612877
123872682
082262368
049326
088326
1319326
22379326
08954300
06882942
124432766
081232409
01143
01843
17043
245438
3496038
0894023
07413169
126172985
088022606
02801255
110101079
233681053
08389965
Stop Event
1×fuel
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
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 840 to 754 computations (59% saved)

preprocess74.0ms (0.6%)

Memory
6.7MiB live, 119.7MiB allocated
Remove

(negabs c)

Compiler

Compiled 1 172 to 332 computations (71.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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