Logarithmic Transform

Time bar (total: 12.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze210.0ms (1.7%)

Memory
10.3MiB live, 251.7MiB allocated
Algorithm
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)

sample4.1s (31.9%)

Memory
36.7MiB live, 3 681.5MiB allocated
Samples
1.8s4 592×1valid
553.0ms3 664×0valid
412.0ms1 671×1exit
273.0ms677×1invalid
184.0ms691×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-pow: 808.0ms (30.2% of total)
ival-e: 597.0ms (22.3% of total)
ival-log1p: 420.0ms (15.7% of total)
ival-mult: 401.0ms (15% of total)
adjust: 301.0ms (11.3% of total)
ival-sub: 123.0ms (4.6% of total)
ival-true: 10.0ms (0.4% of total)
exact: 9.0ms (0.3% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

explain263.0ms (2.1%)

Memory
-43.1MiB live, 692.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1840-0-(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
16644(2.9348073322910394e+165 -3.219115170097507e-178 -6.748954871951432e-275)0-(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
190-2(8.501370875126128e+65 1.876299207131486e-132 3.4414942689902197e-189)(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
00-0-(pow.f64 (E.f64) x)
00-0-#s(literal 1 binary64)
00-0-c
00-0-y
00-0-x
00-0-(E.f64)
00-0-(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity2090
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation380
*.f64(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))n*u170
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 -
+1770
-5821
Precision
0.7531914893617021
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17700
-58021
Precision?
0.7531914893617021
Recall?
1.0
Freqs
test
numberfreq
021
1205
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
129.0ms354×1valid
16.0ms158×0valid
Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-pow: 39.0ms (40.2% of total)
ival-e: 18.0ms (18.6% of total)
ival-mult: 13.0ms (13.4% of total)
adjust: 10.0ms (10.3% of total)
ival-log1p: 7.0ms (7.2% of total)
ival-sub: 5.0ms (5.2% of total)
ival-add: 4.0ms (4.1% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess130.0ms (1%)

Memory
27.0MiB live, 109.3MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 (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
0.8MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify17.0ms (0.1%)

Memory
0.6MiB live, 39.6MiB allocated
Algorithm
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
iter limit
saturated
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 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
c
(log1p.f64 (*.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

localize89.0ms (0.7%)

Memory
-5.3MiB live, 227.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.010097509768442016
(pow.f64 (E.f64) x)
accuracy4.349948736515657
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy37.129591716554565
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy42.63855130236561
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Samples
66.0ms177×1valid
8.0ms79×0valid
Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 23.0ms (43.4% of total)
ival-e: 8.0ms (15.1% of total)
ival-mult: 5.0ms (9.4% of total)
ival-add: 5.0ms (9.4% of total)
ival-sub: 4.0ms (7.6% of total)
adjust: 4.0ms (7.6% of total)
ival-log1p: 3.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series197.0ms (1.6%)

Memory
10.9MiB live, 533.7MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (E.f64) x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
72.0ms
c
@0
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
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) (pow (E) x))
20.0ms
c
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
19.0ms
x
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))
13.0ms
c
@inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (pow (E) x))

simplify169.0ms (1.3%)

Memory
-19.4MiB live, 296.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831930
110181746
233941720
084321561
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(* y (- (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 (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* 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))))))
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(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(* -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))))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 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 (* 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)))))
(* 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)))))))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(- (pow (E) x) 1)
(pow (E) x)
(pow (E) x)
(pow (E) x)
(pow (E) x)
Outputs
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
#s(literal 1 binary64)
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.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 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) y)
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y)
(*.f64 (fma.f64 (*.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(*.f64 (fma.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) y (*.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64))) y (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)) y)
(*.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.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))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 y)) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (/.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)))
(+.f64 (+.f64 (/.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)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))) (log.f64 y))) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c)
(fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 y) (log.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) c (/.f64 c (*.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.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 (-.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))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))))
(-.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))
(-.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))
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(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)))
(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)))
(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))
(*.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 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
#s(literal 1 binary64)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(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 y x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) 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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(*.f64 (*.f64 c y) x)
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(*.f64 y x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) x)
(*.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x)
(*.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
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #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)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(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))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(log1p.f64 (*.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))
(log1p.f64 (*.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 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.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 (-.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))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y #s(literal 1 binary64))
(log1p.f64 (*.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))
(log1p.f64 (*.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 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(*.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 (-.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))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)
(pow.f64 (E.f64) x)

rewrite174.0ms (1.4%)

Memory
0.1MiB live, 281.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
01846
17046
245440
3496040
0894025
Stop Event
iter limit
node limit
iter limit
Counts
6 → 363
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
Outputs
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eval71.0ms (0.6%)

Memory
11.4MiB live, 166.8MiB allocated
Compiler

Compiled 11 424 to 2 178 computations (80.9% saved)

prune24.0ms (0.2%)

Memory
-14.0MiB live, 63.2MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New48015495
Fresh000
Picked101
Done000
Total48115496
Accuracy
99.5%
Counts
496 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
82.7%
(*.f64 c (-.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))))))
75.3%
(*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
81.9%
(*.f64 c (+.f64 (log.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))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
39.5%
(*.f64 c (neg.f64 (log.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))))))
36.4%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
26.8%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
44.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
47.7%
(*.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)))
52.4%
(*.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)))
57.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
54.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
43.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
58.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
64.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 744 to 534 computations (28.2% saved)

simplify236.0ms (1.9%)

Memory
13.6MiB live, 298.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.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 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.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-diff6464
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
cost-diff0
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
cost-diff0
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff128
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
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
054556
094556
1169556
2374556
31126556
43869556
54925522
67841522
08389491
Stop Event
iter limit
node limit
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 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.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 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))))
#s(literal 1/24 binary64)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 y y)
#s(literal -7 binary64)
(fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
x
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1/6 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
Outputs
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.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 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y))) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)))
(*.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(fma.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(*.f64 (fma.f64 y (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) #s(literal 1 binary64)) y)
(*.f64 y y)
#s(literal -7 binary64)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y)
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
x
(*.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)

localize256.0ms (2%)

Memory
34.8MiB live, 412.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy4.349948736515657
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
accuracy5.109301439448376
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
accuracy12.167579431616986
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
accuracy23.841892656706122
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
accuracy4.349948736515657
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy11.924735867612863
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy37.129591716554565
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy2.1934093153865906
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
accuracy3.8202298165401607
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
accuracy4.349948736515657
(*.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)))
accuracy24.09891173578555
#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))
accuracy0
(*.f64 c y)
accuracy3.7201208917196698
(*.f64 (*.f64 c y) x)
accuracy23.16282423403225
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
accuracy0
(expm1.f64 x)
accuracy0.00390625
(*.f64 y (expm1.f64 x))
accuracy0.2538098885945684
(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy4.349948736515657
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Samples
166.0ms176×1valid
40.0ms80×0valid
Compiler

Compiled 1 041 to 112 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult: 55.0ms (33.4% of total)
ival-pow: 33.0ms (20% of total)
ival-add: 20.0ms (12.1% of total)
adjust: 18.0ms (10.9% of total)
const: 11.0ms (6.7% of total)
ival-e: 7.0ms (4.2% of total)
ival-expm1: 7.0ms (4.2% of total)
ival-log1p: 7.0ms (4.2% of total)
ival-sub: 4.0ms (2.4% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series255.0ms (2%)

Memory
-21.4MiB live, 341.2MiB allocated
Counts
20 → 516
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 (*.f64 y (expm1.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (expm1.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (expm1.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 c y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

TimeVariablePointExpression
71.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)))
46.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)))
28.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)))
23.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)))
22.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)))

simplify156.0ms (1.2%)

Memory
24.1MiB live, 210.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07438823
125548526
083147491
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
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Outputs
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
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(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
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(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal -1/24 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))))
(*.f64 (*.f64 (fma.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) (*.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64))) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y))) (neg.f64 x))) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y))) (neg.f64 x))) x) x)

rewrite157.0ms (1.2%)

Memory
3.1MiB live, 195.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054354
094354
1354354
22772354
08338333
Stop Event
iter limit
node limit
iter limit
Counts
20 → 282
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 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.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 (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(*.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 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.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 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
Outputs
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eval155.0ms (1.2%)

Memory
-17.1MiB live, 222.7MiB allocated
Compiler

Compiled 38 489 to 2 776 computations (92.8% saved)

prune55.0ms (0.4%)

Memory
12.5MiB live, 129.4MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New77619795
Fresh6410
Picked235
Done000
Total78426810
Accuracy
99.6%
Counts
810 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(*.f64 (-.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)))) c)
92.7%
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
92.8%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
67.6%
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)
14.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
47.7%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
52.4%
(*.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)
74.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
57.1%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
82.7%
(*.f64 c (-.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))))))
81.9%
(*.f64 c (+.f64 (log.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))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
39.5%
(*.f64 c (neg.f64 (log.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))))))
26.8%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
46.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
52.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
52.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
55.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
22.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) x (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x y) x)))
56.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
56.3%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
56.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
24.5%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
58.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
60.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
58.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
64.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 1 757 to 1 230 computations (30% saved)

simplify415.0ms (3.3%)

Memory
-213.2MiB live, 169.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
cost-diff0
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
cost-diff128
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
cost-diff128
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)
cost-diff0
(*.f64 (fma.f64 (fma.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) (*.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 (fma.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) (*.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 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
cost-diff320
(fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
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 c)
cost-diff0
(*.f64 (*.f64 x c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
cost-diff0
(/.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))))
cost-diff0
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
cost-diff0
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
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
064582
0111581
1186581
2345576
3929576
44313573
08002527
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.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 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
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)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 (*.f64 x c) y)
(*.f64 x c)
x
c
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)
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.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 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))
(*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)
(fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y)
(fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y)
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
y
#s(literal -3 binary64)
x
#s(literal 1/6 binary64)
(*.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)
#s(literal 1/2 binary64)
c
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
(*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))
(pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64))
(*.f64 (-.f64 y (*.f64 y y)) x)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
x
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.f64 c (log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(log1p.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y))
(*.f64 (*.f64 c x) y)
(*.f64 c x)
x
c
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)
(*.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 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)) c)
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y) x)
(fma.f64 (*.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y)
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
y
#s(literal -3 binary64)
x
#s(literal 1/6 binary64)
(*.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)
#s(literal 1/2 binary64)
c
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) c)
c
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) y) (/.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) x)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))
(pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64))
(*.f64 (-.f64 y (*.f64 y y)) x)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
x
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 y (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
#s(literal 1/2 binary64)

localize370.0ms (2.9%)

Memory
-4.1MiB live, 429.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.349948736515657
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
accuracy7.62889592915103
(fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))
accuracy15.373585341132177
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
accuracy24.09891173578555
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
accuracy4.26764042302403
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x)
accuracy4.349948736515657
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
accuracy7.472647993320824
(fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
accuracy23.376022281167298
#s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x))
accuracy2.1934093153865906
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x)
accuracy3.8202298165401607
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
accuracy4.349948736515657
(*.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)
accuracy24.09891173578555
#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 c)
accuracy4.065725982076892
(*.f64 (*.f64 x c) y)
accuracy23.16282423403225
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
accuracy0.16015625
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
accuracy0.2538098885945684
(log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
accuracy0.34375
(/.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))))
accuracy4.349948736515657
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
Samples
197.0ms160×1valid
38.0ms77×0valid
38.0ms19×2valid
Compiler

Compiled 1 075 to 130 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult: 67.0ms (30.4% of total)
ival-expm1: 35.0ms (15.9% of total)
ival-add: 26.0ms (11.8% of total)
adjust: 21.0ms (9.5% of total)
ival-pow: 18.0ms (8.2% of total)
ival-log1p: 15.0ms (6.8% of total)
ival-e: 10.0ms (4.5% of total)
ival-sub: 6.0ms (2.7% of total)
ival-div: 6.0ms (2.7% of total)
ival-exp: 5.0ms (2.3% of total)
const: 4.0ms (1.8% of total)
ival-pow2: 4.0ms (1.8% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series348.0ms (2.7%)

Memory
22.9MiB live, 496.8MiB allocated
Counts
23 → 600
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 (*.f64 x c) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 x c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
110.0ms
c
@0
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (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) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)))
57.0ms
x
@inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (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) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)))
44.0ms
x
@-inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (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) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)))
33.0ms
c
@-inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (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) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)))
32.0ms
c
@inf
((+ (* (exp x) (exp x)) (+ (exp x) 1)) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* (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) (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (- (* (* (- y (* y y)) 1/2) x) y) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (- (exp (* x 3)) 1) y) (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)))

simplify181.0ms (1.4%)

Memory
18.5MiB live, 320.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108011832
1367011347
083589756
Stop Event
iter limit
node limit
Counts
600 → 599
Calls
Call 1
Inputs
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Outputs
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
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(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
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rewrite161.0ms (1.3%)

Memory
22.7MiB live, 170.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064425
0111425
1406387
23112330
08672306
Stop Event
iter limit
node limit
iter limit
Counts
23 → 365
Calls
Call 1
Inputs
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 (*.f64 x c) y)
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#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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(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y y) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
(fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))
Outputs
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eval179.0ms (1.4%)

Memory
-39.8MiB live, 284.5MiB allocated
Compiler

Compiled 38 948 to 3 269 computations (91.6% saved)

prune61.0ms (0.5%)

Memory
12.7MiB live, 137.0MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New95014964
Fresh71118
Picked415
Done033
Total96129990
Accuracy
99.6%
Counts
990 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(*.f64 (-.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)))) c)
73.3%
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
92.8%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
67.6%
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c)
57.1%
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
52.4%
(*.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)
14.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
56.5%
(*.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)
56.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c)
53.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c)
74.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
56.2%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
24.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
56.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
44.1%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
82.7%
(*.f64 c (-.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))))))
81.9%
(*.f64 c (+.f64 (log.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))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
39.5%
(*.f64 c (neg.f64 (log.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))))))
26.8%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
52.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
52.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
55.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
56.3%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
2.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))))
44.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x))) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))) (*.f64 y y)))))
56.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
60.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
58.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
64.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 2 129 to 1 446 computations (32.1% saved)

simplify164.0ms (1.3%)

Memory
9.3MiB live, 190.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x))
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))
cost-diff1408
(fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))
cost-diff1472
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))))
cost-diff0
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
cost-diff0
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
cost-diff0
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
cost-diff128
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y)
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)
cost-diff0
#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))
cost-diff0
(*.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)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
cost-diff0
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
cost-diff0
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
cost-diff0
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
cost-diff0
(-.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)))))
cost-diff0
(*.f64 c (-.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))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951017
01491015
12761000
2678948
32565898
08005835
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 c (-.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))))))
c
(-.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)))))
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
(*.f64 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)
#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))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) 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)
(*.f64 y x)
x
c
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
(*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x)
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
(*.f64 y y)
#s(literal 1/2 binary64)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))))
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))
#s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y)
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x x) y)
(fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
Outputs
(*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c)
c
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 (expm1.f64 x) y)
y
(expm1.f64 x)
x
#s(literal 3 binary64)
(log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))
(*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))
(fma.f64 (expm1.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y)) c)
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
(*.f64 x y)
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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) 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)
(*.f64 x y)
x
c
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x)) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x))
(*.f64 (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) x)
(*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x)
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) y y)
(*.f64 y y)
#s(literal 1/2 binary64)
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y)))) c)
c
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y))))
#s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y)))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))) (*.f64 y y))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))
#s(literal 1/4 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (-.f64 (/.f64 x y) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y) y) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 x y)) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) #s(literal -2 binary64) x))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) y) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)

localize657.0ms (5.2%)

Memory
24.0MiB live, 853.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy8.993118981821254
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x))
accuracy17.95600900695557
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))
accuracy23.86464715900601
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))
accuracy46.34937800862414
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))))
accuracy4.349948736515657
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
accuracy15.373585341132177
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
accuracy23.04653397015216
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))
accuracy23.86464715900601
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
accuracy0.015625
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y)
accuracy2.1934093153865906
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x)
accuracy4.349948736515657
(*.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)
accuracy23.86464715900601
#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))
accuracy0
(*.f64 y x)
accuracy4.349948736515657
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
accuracy23.87336796739306
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
accuracy0.1761513183790941
(-.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)))))
accuracy4.349948736515657
(*.f64 c (-.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))))))
accuracy4.374033310967156
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
accuracy6.303235047123267
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
Samples
423.0ms209×1valid
110.0ms18×2valid
17.0ms28×0valid
1.0ms1exit
Compiler

Compiled 1 779 to 179 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 485.0ms
ival-mult: 84.0ms (17.3% of total)
ival-expm1: 80.0ms (16.5% of total)
ival-add: 63.0ms (13% of total)
ival-div: 63.0ms (13% of total)
ival-sub: 49.0ms (10.1% of total)
ival-pow: 46.0ms (9.5% of total)
adjust: 45.0ms (9.3% of total)
ival-log1p: 21.0ms (4.3% of total)
exact: 16.0ms (3.3% of total)
ival-e: 8.0ms (1.6% of total)
ival-exp: 5.0ms (1% of total)
ival-pow2: 5.0ms (1% of total)
ival-neg: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series881.0ms (6.9%)

Memory
8.3MiB live, 684.3MiB allocated
Counts
23 → 600
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 c (-.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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.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) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

TimeVariablePointExpression
348.0ms
x
@inf
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189.0ms
c
@0
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97.0ms
x
@-inf
((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (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) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)))
64.0ms
c
@-inf
((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (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) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)))
63.0ms
c
@inf
((* c (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))))) (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (pow (* y (- (exp x) 1)) 3) (* (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) c) (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (* y x) (* (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) (- (* (* (- y (* y y)) 1/2) x) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (+ (* (* x x) -1/2) (/ (* x x) y)) (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)))

simplify200.0ms (1.6%)

Memory
-11.1MiB live, 334.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130614029
1440913593
0825911589
Stop Event
iter limit
node limit
Counts
600 → 599
Calls
Call 1
Inputs
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(* 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)))))
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(* x y)
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(* x y)
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Outputs
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(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
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(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
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(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
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(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
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(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
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(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
(*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (fma.f64 (expm1.f64 x) y #s(literal -1 binary64))))) c)
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(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x))
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rewrite203.0ms (1.6%)

Memory
32.0MiB live, 303.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094606
0147604
1609527
25600527
08211501
Stop Event
iter limit
node limit
iter limit
Counts
23 → 386
Calls
Call 1
Inputs
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(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
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#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))
(/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))
(/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x))
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
#s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y))
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eval155.0ms (1.2%)

Memory
30.0MiB live, 361.8MiB allocated
Compiler

Compiled 67 637 to 4 047 computations (94% saved)

prune101.0ms (0.8%)

Memory
-14.0MiB live, 236.2MiB allocated
Pruning

37 alts after pruning (30 fresh and 7 done)

PrunedKeptTotal
New995161 011
Fresh61420
Picked235
Done044
Total1 003371 040
Accuracy
99.6%
Counts
1 040 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(fma.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
29.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
75.3%
(*.f64 (-.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)))) c)
73.3%
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
92.8%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
67.6%
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c)
57.1%
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
50.5%
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c)
56.4%
(*.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)) x) y) x (*.f64 x y))) c)
14.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
56.5%
(*.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)
56.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) c)
53.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c)
74.8%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
56.2%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
24.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
56.5%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
82.7%
(*.f64 c (-.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))))))
81.9%
(*.f64 c (+.f64 (log.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))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
39.5%
(*.f64 c (neg.f64 (log.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))))))
26.8%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
51.7%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
13.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
2.7%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
48.5%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
49.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))))))
52.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
55.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
53.7%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
1.9%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #s(approx (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))) (*.f64 y y)))))
45.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
39.4%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x))))))
24.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
56.2%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))))
60.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
58.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
64.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 4 507 to 1 640 computations (63.6% saved)

regimes149.0ms (1.2%)

Memory
19.0MiB live, 374.4MiB allocated
Counts
65 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
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(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
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(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
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(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) c)
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#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
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(*.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 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) #s(approx (+ (* (exp x) (exp x)) (+ (exp x) 1)) #s(literal 3 binary64)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) c)
(*.f64 c (neg.f64 (log.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))))))
(*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
(*.f64 (-.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)))) c)
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(*.f64 c (-.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))))))
(fma.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) c (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) c))
(*.f64 c (+.f64 (log.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))))) (log1p.f64 (fma.f64 y (expm1.f64 x) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 3 binary64))) c) (fma.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (+.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64))))
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Calls

9 calls:

19.0ms
c
18.0ms
x
17.0ms
y
16.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
16.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
92.8%1c
92.8%1x
96.1%3y
92.8%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
92.8%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
92.8%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
92.8%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
92.8%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
92.8%1(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes142.0ms (1.1%)

Memory
-19.0MiB live, 277.2MiB allocated
Counts
51 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)
(*.f64 (log1p.f64 #s(approx (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))) (*.f64 y x))) 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 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) #s(approx (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x))))) (*.f64 y y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) x))) y))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))) (*.f64 y y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y)) (fma.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) y)))) (*.f64 y y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
Outputs
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
(*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c)
Calls

9 calls:

29.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
18.0ms
c
17.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
14.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
76.9%2c
84.3%2x
74.8%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
74.8%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
74.8%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
84.9%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
84.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
84.3%2(pow.f64 (E.f64) x)
88.5%5y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes68.0ms (0.5%)

Memory
21.7MiB live, 138.5MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
Outputs
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

5 calls:

20.0ms
x
14.0ms
y
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
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
80.1%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
78.1%3y
79.5%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
79.5%2(pow.f64 (E.f64) x)
79.5%2x
Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes111.0ms (0.9%)

Memory
-22.6MiB live, 221.2MiB allocated
Counts
42 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 y x)) (*.f64 x x))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) x) y #s(literal -1/2 binary64))) y (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 (fma.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) (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x y) x)) c)
(*.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 (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y) x) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/2 binary64))) y (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

9 calls:

14.0ms
x
14.0ms
y
14.0ms
(pow.f64 (E.f64) x)
13.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
12.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Results
AccuracySegmentsBranch
64.6%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
64.6%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
64.6%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
64.6%1y
64.6%1c
64.6%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
66.4%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
66.4%2(pow.f64 (E.f64) x)
66.4%2x
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes31.0ms (0.2%)

Memory
23.3MiB live, 60.9MiB allocated
Counts
32 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
Outputs
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

3 calls:

13.0ms
(pow.f64 (E.f64) x)
9.0ms
x
7.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
66.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
66.3%2(pow.f64 (E.f64) x)
66.3%2x
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes30.0ms (0.2%)

Memory
-11.9MiB live, 65.7MiB allocated
Counts
31 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)) (*.f64 y y)))) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x (/.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))))
Outputs
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

3 calls:

11.0ms
x
9.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
7.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
66.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
66.3%2(pow.f64 (E.f64) x)
66.3%2x
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes55.0ms (0.4%)

Memory
-1.4MiB live, 50.0MiB allocated
Counts
28 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) #s(approx (* (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (* y y)) (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))))))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)) x)))
Outputs
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

3 calls:

41.0ms
x
6.0ms
(pow.f64 (E.f64) x)
6.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
66.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
66.3%2(pow.f64 (E.f64) x)
66.3%2x
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes65.0ms (0.5%)

Memory
-19.4MiB live, 58.3MiB allocated
Accuracy

Total -27.2b remaining (-120.2%)

Threshold costs -27.2b (-120.2%)

Counts
24 → 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (fma.f64 #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 (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (* (+ (* (* 1/2 x) (- y (* y y))) y) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/2 binary64)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 #s(approx (+ (* (+ (* -1/2 y) 1/2) (* y x)) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) x)) c)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) #s(approx (/ (* (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) x) (- (* (* (- y (* y y)) 1/2) x) y)) (*.f64 #s(approx (+ (* (/ -2 y) (/ (+ (* 1/4 (* x x)) -1) y)) (- (+ (* (* x x) -1/2) (/ (* x x) y)) (+ (* (/ (* (* x (- x (+ (* 1/2 x) -1))) (+ (* 1/2 x) -1)) (* (* y y) x)) -2) (/ (* (+ (* 1/2 x) -1) x) y)))) (/.f64 x y)) (*.f64 y y)))))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) #s(approx (* (+ (* (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y) x))) c)
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* (* (+ (* 2 y) -3) y) y) y) x) 1/6) (* (+ (* -1/2 y) 1/2) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)) 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 y x) y) x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y) x)))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (neg.f64 y)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) c (*.f64 c y)) x))
(*.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)) x) y) x (*.f64 x y))) c)
(*.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)
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) x) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) y)) x y) x)))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Calls

4 calls:

34.0ms
y
18.0ms
x
6.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
6.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
64.6%1y
64.6%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
64.6%1(pow.f64 (E.f64) x)
64.6%1x
Compiler

Compiled 10 to 18 computations (-80% saved)

bsearch60.0ms (0.5%)

Memory
0.4MiB live, 117.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
8.946080911716941e-213
4.094313275666655e-204
21.0ms
-2.9578162528900385e-274
-6.748954871951432e-275
Samples
24.0ms103×1valid
10.0ms137×0valid
Compiler

Compiled 390 to 361 computations (7.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 11.0ms (42.1% of total)
ival-e: 5.0ms (19.1% of total)
ival-mult: 4.0ms (15.3% of total)
adjust: 2.0ms (7.6% of total)
ival-sub: 2.0ms (7.6% of total)
ival-log1p: 2.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
23.4MiB live, 59.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-3.649218754327032e-10
-5.335332382065465e-19
Samples
16.0ms144×0valid
2.0ms21×0invalid
Compiler

Compiled 276 to 250 computations (9.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (38.8% of total)
ival-pow: 3.0ms (23.3% of total)
ival-mult: 2.0ms (15.5% of total)
ival-log1p: 1.0ms (7.8% of total)
ival-e: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Memory
-4.2MiB live, 81.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
52.0ms
-4.9237574716796776e-29
-4.5315798158936715e-37
Samples
40.0ms112×1valid
3.0ms32×0valid
2.0ms18×0invalid
1.0ms1invalid
Compiler

Compiled 321 to 277 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-e: 18.0ms (45.7% of total)
ival-pow: 9.0ms (22.8% of total)
ival-mult: 6.0ms (15.2% of total)
adjust: 2.0ms (5.1% of total)
ival-log1p: 2.0ms (5.1% of total)
ival-sub: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
-18.9MiB live, 56.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-39571.62789927115
-0.03521340035547853
Samples
22.0ms144×0valid
2.0ms22×0invalid
Compiler

Compiled 609 to 457 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 13.0ms (66.5% of total)
ival-mult: 2.0ms (10.2% of total)
ival-e: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-log1p: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-39571.62789927115
-0.03521340035547853
Compiler

Compiled 609 to 457 computations (25% saved)

bsearch2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-39571.62789927115
-0.03521340035547853
Compiler

Compiled 699 to 484 computations (30.8% saved)

bsearch17.0ms (0.1%)

Memory
-6.2MiB live, 31.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-39571.62789927115
-0.03521340035547853
Samples
10.0ms80×0valid
1.0ms12×0invalid
Compiler

Compiled 672 to 484 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-e: 4.0ms (48.6% of total)
ival-pow: 2.0ms (24.3% of total)
ival-log1p: 1.0ms (12.1% of total)
ival-mult: 1.0ms (12.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.2%)

Memory
26.7MiB live, 72.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094426
1122426
2128426
3131426
4132426
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 3354476740711969/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 x #s(literal -5029131409596857/19342813113834066795298816 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) (*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 x #s(literal -6779426540353309/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)) #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64)))))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y))))) #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 c y) x))
Outputs
(if (<=.f64 y #s(literal -7016626088207999/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 3354476740711969/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))))
(if (<=.f64 x #s(literal -5029131409596857/19342813113834066795298816 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) (*.f64 (log1p.f64 #s(approx (* y (- (exp x) 1)) (*.f64 x y))) c))
(if (<=.f64 x #s(literal -6779426540353309/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 (expm1.f64 x) y)) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) y)))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) x) y))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -66 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y y) x) #s(literal 1/2 binary64))))) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)))
(if (<=.f64 x #s(literal -110 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (/.f64 (*.f64 #s(approx (+ (* (pow (* (- y (* y y)) x) 2) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) x) #s(approx (- (* (* (- y (* y y)) 1/2) x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) y)))) c) #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 c y) x))

soundness968.0ms (7.6%)

Memory
-12.6MiB live, 1 214.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130614029
1440913593
0825911589
07438823
125548526
083147491
01146
01846
17046
245440
3496040
0894025
094606
0147604
1609527
25600527
08211501
0108011832
1367011347
083589756
054354
094354
1354354
22772354
08338333
02831930
110181746
233941720
084321561
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 879 to 367 computations (58.2% saved)

preprocess124.0ms (1%)

Memory
11.1MiB live, 220.4MiB allocated
Remove

(negabs c)

Compiler

Compiled 970 to 272 computations (72% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...