Logarithmic Transform

Time bar (total: 13.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze199.0ms (1.5%)

Memory
6.1MiB live, 272.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
28.6%25%62.4%0.1%0%12.5%0%7
28.6%25%62.4%0.1%0%12.5%0%8
39.3%34.3%53%0.1%0%12.5%0%9
52.7%45.2%40.6%0.1%0%14%0%10
52.7%45.2%40.6%0.1%0%14%0%11
56%47.6%37.4%0.1%0%14.8%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.1s (31.6%)

Memory
-129.0MiB live, 3 972.7MiB allocated
Samples
1.3s4 582×1valid
534.0ms668×1invalid
429.0ms3 674×0valid
288.0ms1 621×1exit
69.0ms703×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-pow: 1.0s (50.8% of total)
ival-e: 302.0ms (14.6% of total)
ival-mult: 243.0ms (11.8% of total)
ival-sub: 180.0ms (8.7% of total)
adjust: 138.0ms (6.7% of total)
ival-log1p: 128.0ms (6.2% of total)
ival-true: 9.0ms (0.4% of total)
exact: 8.0ms (0.4% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

explain402.0ms (3.1%)

Memory
8.9MiB live, 315.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1760-0-(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
15151(2.5593651266999854e-23 -1.3376432882128119e-208 2.6036485410881233e-298)0-(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
180-0-(*.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)))sensitivity2010
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation420
*.f64(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))n*u180
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 -
+1630
-6528
Precision
0.7149122807017544
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-65028
Precision?
0.7149122807017544
Recall?
1.0
Freqs
test
numberfreq
028
1194
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms344×1valid
16.0ms168×0valid
Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-e: 45.0ms (28.5% of total)
ival-pow: 34.0ms (21.5% of total)
ival-add: 29.0ms (18.4% of total)
ival-log1p: 28.0ms (17.7% of total)
ival-mult: 9.0ms (5.7% of total)
adjust: 8.0ms (5.1% of total)
ival-sub: 4.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess152.0ms (1.2%)

Memory
-11.2MiB live, 70.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs c)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶40.2%
(*.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)

simplify22.0ms (0.2%)

Memory
-20.0MiB live, 19.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize76.0ms (0.6%)

Memory
25.7MiB live, 100.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(E.f64)
accuracy4.162904859450815
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy34.58249113564933
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy40.91073393125548
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Samples
57.0ms172×1valid
8.0ms84×0valid
Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 17.0ms (32.4% of total)
ival-sub: 12.0ms (22.9% of total)
ival-e: 8.0ms (15.3% of total)
ival-mult: 7.0ms (13.3% of total)
adjust: 4.0ms (7.6% of total)
ival-log1p: 3.0ms (5.7% of total)
ival-add: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series334.0ms (2.6%)

Memory
-16.5MiB live, 217.3MiB allocated
Counts
6 → 49
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(E.f64)
Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E)))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
Calls

9 calls:

TimeVariablePointExpression
119.0ms
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) (E))
60.0ms
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) (E))
56.0ms
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) (E))
39.0ms
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) (E))
25.0ms
y
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1) (E))

simplify210.0ms (1.6%)

Memory
3.2MiB live, 157.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801255
110101079
233681053
08389965
Stop Event
1×iter limit
1×node limit
Counts
49 → 49
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) y))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) y) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))

rewrite156.0ms (1.2%)

Memory
56.2MiB live, 275.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
01844
17044
245439
3496039
0894024
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 388
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))
(E.f64)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) (-.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)))))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 2/9 binary64)))))
(*.f64 (exp.f64 #s(literal 2/9 binary64)) (*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (E.f64) #s(literal 1 binary64))
(fma.f64 (/.f64 (E.f64) #s(literal 2 binary64)) #s(literal 2 binary64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))) (exp.f64 #s(literal 1/6 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 2/9 binary64))) (exp.f64 #s(literal 1/9 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (E.f64)) #s(literal 1/2 binary64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (E.f64)) #s(literal 3 binary64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (E.f64)) #s(literal 1/3 binary64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (cbrt.f64 (exp.f64 #s(literal 5/2 binary64))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 2/9 binary64)))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 2/9 binary64)) (*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (E.f64) #s(literal 1 binary64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 #s(literal 1 binary64) (E.f64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(cbrt.f64 (exp.f64 #s(literal 3 binary64)))
(sqrt.f64 (exp.f64 #s(literal 2 binary64)))
(fabs.f64 (E.f64))
(exp.f64 #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))) (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))) (E.f64))
(+.f64 (E.f64) (log.f64 (pow.f64 #s(literal 1 binary64) (E.f64))))
(log.f64 (exp.f64 (E.f64)))
(E.f64)

eval110.0ms (0.8%)

Memory
-34.0MiB live, 221.3MiB allocated
Compiler

Compiled 10 214 to 2 382 computations (76.7% saved)

prune17.0ms (0.1%)

Memory
4.6MiB live, 44.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New42015435
Fresh000
Picked101
Done000
Total42115436
Accuracy
99.5%
Counts
436 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.1%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
80.0%
(*.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))))))
51.0%
(*.f64 c (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
17.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
35.2%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
36.0%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
38.4%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
29.1%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
▶43.9%
(*.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)))
56.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
▶47.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
43.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) 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))
▶43.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
53.7%
#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))
▶61.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 730 to 538 computations (26.3% saved)

simplify159.0ms (1.2%)

Memory
17.9MiB live, 206.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize292.0ms (2.3%)

Memory
-12.1MiB live, 512.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy7.039004703245762
(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)))
accuracy10.030428683888127
(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)))
accuracy14.400728200028793
(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)))
accuracy25.65438291494311
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
accuracy0.0078125
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
accuracy2.755014872011983
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
accuracy40.91073393125548
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
accuracy4.162904859450815
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
accuracy4.364161887779471
(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)
accuracy12.396859971776905
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
accuracy25.64223104236377
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
accuracy0
(*.f64 c y)
accuracy5.050705728274268
(*.f64 (*.f64 c y) x)
accuracy24.04533285213335
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
accuracy0
(*.f64 y (expm1.f64 x))
accuracy0
(expm1.f64 x)
accuracy0.24595304556793873
(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy4.162904859450815
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Samples
172.0ms172×1valid
58.0ms84×0valid
Compiler

Compiled 1 230 to 126 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 79.0ms (42.6% of total)
ival-pow: 26.0ms (14% of total)
ival-add: 20.0ms (10.8% of total)
adjust: 17.0ms (9.2% of total)
const: 16.0ms (8.6% of total)
ival-e: 9.0ms (4.9% of total)
ival-expm1: 7.0ms (3.8% of total)
ival-log1p: 6.0ms (3.2% of total)
ival-sub: 5.0ms (2.7% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series292.0ms (2.3%)

Memory
11.3MiB live, 497.0MiB allocated
Counts
22 → 183
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)))
#s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y)
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y))
(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
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(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
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(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
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(* c (* x (* y (log (E)))))
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(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
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(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
(+ (* c y) (* x (+ (* 1/2 (* c (- y (pow y 2)))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))))))))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
(* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))
(+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))
(log (+ 1 (* y (- (exp x) 1))))
(* y (- (exp x) 1))
(- (exp x) 1)
(* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* x (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(- (pow (E) x) 1)
(* 1/24 (* c (* (pow x 3) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))
(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x))))
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(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (+ (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (+ (* 1/2 (/ (* c (- y (pow y 2))) (pow x 2))) (/ (* c y) (pow x 3))))))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(* 1/6 (* (pow x 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) x))))
(* (pow x 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) x)) (/ y (pow x 2)))))
(* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* x (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x))))
(* -1 (* x (+ (* -1/2 (/ (- y (pow y 2)) x)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2)))) x)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(* -1 (* x (+ (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) x)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (exp x) 1) 2)))) (* c (- (exp x) 1))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* 1/3 (* c (* y (pow (- (exp x) 1) 3))))))))
(* y (+ (* c (- (exp x) 1)) (* y (+ (* -1/2 (* c (pow (- (exp x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (exp x) 1) 4)))) (* 1/3 (* c (pow (- (exp x) 1) 3)))))))))
(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
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(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (+ 1/2 (* 1/6 x)))
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(* y (+ 1/2 (+ (* 1/6 x) (* y (- (+ (* -1/2 x) (* 1/3 (* x y))) 1/2)))))
(* 1/2 y)
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(* y (- (pow (E) x) 1))
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(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* y (+ 1 (* -7 y)))
(* y (+ 1 (* y (- (* 12 y) 7))))
(* y (+ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (* c (+ 1 (* 1/2 x)))))
(* y (+ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (+ (* c (+ 1 (* 1/2 x))) (* y (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))))))
(* y (+ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (+ (* c (+ 1 (* 1/2 x))) (* y (+ (* -1/2 (* c x)) (+ (* c (* (pow x 2) (* y (+ 1/3 (* 1/2 x))))) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))))))))
(* y (+ (* c (* (pow x 2) (+ 1/6 (* 1/24 x)))) (+ (* c (+ 1 (* 1/2 x))) (* y (+ (* -1/2 (* c x)) (+ (* c (* (pow x 2) (- (* -7/24 x) 1/2))) (* y (+ (* -1/4 (* c (* (pow x 3) y))) (* c (* (pow x 2) (+ 1/3 (* 1/2 x))))))))))))
(* y (+ 1 (* 1/2 x)))
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(* 1/3 (* x (pow y 3)))
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(* -1/2 (pow y 2))
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(* 12 (pow y 3))
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(* (pow y 4) (- (* 12 (/ 1 y)) (+ 6 (/ 7 (pow y 2)))))
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(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 7) y)) 12)))
(* (pow y 4) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/3))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1))) y)) (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* x (- (* -1/2 x) 1/2)) y)) (* -1/3 (pow x 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1) y)) (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (pow x 2)))))
(* (pow y 4) (+ (* -1 (/ (- (* -1/2 x) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -7/24 x) 1/2) y)) (* -1/2 x)) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 x) 1/6) y)) (* -7/24 x)) 1/2) y)) (* -1/2 x)) 1/3) y)) (* -1/4 x)))
(* (pow y 4) (- (* -1 (/ (- (* 7 (/ 1 y)) 12) y)) 6))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 7) y)) 12) y)) 6))
Calls

9 calls:

TimeVariablePointExpression
78.0ms
x
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
49.0ms
c
@0
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
38.0ms
y
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
31.0ms
x
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))
31.0ms
c
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y))))

simplify158.0ms (1.2%)

Memory
-20.3MiB live, 206.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09774505
134754338
086193834
Stop Event
1×iter limit
1×node limit
Counts
183 → 181
Calls
Call 1
Inputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c y)
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
(* -1 (* c (+ (* -1 (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))) (* -1 (+ y (* 1/2 (* x (- y (pow y 2)))))))))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ y (* -1 (pow y 2)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* x (+ y (* 1/2 (* x y))))
(* x (+ y (* x (+ (* 1/6 (* x y)) (* 1/2 y)))))
(* x (+ y (* x (+ (* 1/2 y) (* x (+ (* 1/24 (* x y)) (* 1/6 y)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
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(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
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(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
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(* x (log (E)))
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(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
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y
(+ y (* 1/2 (* x (- y (pow y 2)))))
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(* y (- (+ (exp x) (* -1/2 (* y (pow (- (exp x) 1) 2)))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* 1/3 (* y (pow (- (exp x) 1) 3)))))) 1))
(* y (- (+ (exp x) (* y (+ (* -1/2 (pow (- (exp x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp x) 1) 4))) (* 1/3 (pow (- (exp x) 1) 3))))))) 1))
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(* y (+ 1/2 (* 1/6 x)))
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(* 1/3 (* x (pow y 3)))
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(* 12 (pow y 3))
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(* -1/4 (* c (* (pow x 3) (pow y 4))))
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(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (+ (* 1/2 (/ x y)) (/ 1 y))))
(* 1/3 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))
(* (pow y 3) (+ (* 1/3 (pow x 2)) (+ (/ 1 (pow y 2)) (+ (/ (* x (+ 1/2 (* 1/6 x))) (pow y 2)) (/ (* x (- (* -1/2 x) 1/2)) y)))))
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(* -6 (pow y 4))
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(* (pow y 4) (- (* 12 (/ 1 y)) (+ 6 (/ 7 (pow y 2)))))
(* (pow y 4) (- (+ (* 12 (/ 1 y)) (/ 1 (pow y 3))) (+ 6 (/ 7 (pow y 2)))))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
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Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
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(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
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(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64) y))))) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y) x)
(* x (+ y (* 1/2 (* x y))))
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x
(* x (+ 1 (* 1/2 x)))
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(* c (* x (* y (log (E)))))
(*.f64 (*.f64 x y) c)
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (-.f64 y (*.f64 y y)) x) (*.f64 c y)) x)
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(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
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(* 1/2 (- y (pow y 2)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
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(* x (* y (log (E))))
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(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
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(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
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(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1))) y)) (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 3)))))
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rewrite193.0ms (1.5%)

Memory
2.6MiB live, 284.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061392
0109392
1411392
23348392
08254373
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 463
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
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(fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x y)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))
Outputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(log1p.f64 (*.f64 (expm1.f64 x) y))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) y) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 (exp.f64 x) y (neg.f64 y))
(fma.f64 y (exp.f64 x) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 x) y) (neg.f64 y))
(+.f64 (*.f64 y (exp.f64 x)) (*.f64 y #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 x c) y)
(*.f64 (*.f64 x y) c)
(*.f64 (*.f64 c y) x)
(*.f64 c (*.f64 x y))
(*.f64 x (*.f64 c y))
(*.f64 y (*.f64 c x))
(*.f64 c y)
(*.f64 y c)
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x)))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y y)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) y (neg.f64 y)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))))
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eval182.0ms (1.4%)

Memory
-3.9MiB live, 198.9MiB allocated
Compiler

Compiled 45 867 to 4 232 computations (90.8% saved)

prune55.0ms (0.4%)

Memory
34.7MiB live, 73.5MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New62717644
Fresh2810
Picked325
Done000
Total63227659
Accuracy
99.6%
Counts
659 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.0%
(*.f64 (log1p.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
✓93.1%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
63.3%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
63.6%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
56.0%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
80.0%
(*.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))))))
51.0%
(*.f64 c (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
17.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
35.2%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
38.4%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
▶29.1%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
49.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
54.3%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
26.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
54.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
72.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
43.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) 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))
▶76.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
▶59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
53.7%
#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))
✓61.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
19.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) y)) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x))
▶58.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
57.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
Compiler

Compiled 1 969 to 1 347 computations (31.6% saved)

simplify179.0ms (1.4%)

Memory
-6.0MiB live, 113.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
cost-diff64
(pow.f64 (E.f64) x)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
cost-diff6912
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
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
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
cost-diff0
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
cost-diff0
#s(approx (- (pow (E) x) 1) x)
cost-diff0
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
cost-diff0
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
cost-diff0
(/.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
050403
084401
1135395
2237387
3602387
41219369
51780346
63445346
75473346
08077291
Stop Event
1×iter limit
1×node limit
1×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 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
y
(*.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)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(pow.f64 (E.f64) x)
(E.f64)
x
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
y
Outputs
(*.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 (log1p.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)))))
(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)))))
(log1p.f64 (/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(-.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 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) c)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) c)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) c))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) c)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c)
(*.f64 #s(literal 1/6 binary64) c)
#s(literal 1/6 binary64)
c
x
(*.f64 #s(literal 1/2 binary64) c)
#s(literal 1/2 binary64)
y
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
(*.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)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(*.f64 (*.f64 (expm1.f64 x) y) c)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(*.f64 (expm1.f64 x) c)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(expm1.f64 x)
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (E.f64) x)
(exp.f64 x)
(E.f64)
x
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
y

localize331.0ms (2.6%)

Memory
-14.3MiB live, 223.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
accuracy0.24999862397081396
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
accuracy2.755014872011983
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
accuracy4.162904859450815
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
accuracy13.623859142867046
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))
accuracy34.58249113564933
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64)))
accuracy0.34375
(*.f64 #s(literal 1/6 binary64) c)
accuracy2.755014872011983
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
accuracy19.17228515626581
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
accuracy0.0078125
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
accuracy2.755014872011983
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
accuracy19.391659112185344
#s(approx (- (pow (E) x) 1) x)
accuracy0.12890625
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
accuracy0.24595304556793873
(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)))))
accuracy0.3671875
(/.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))))
accuracy4.162904859450815
(*.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
207.0ms162×1valid
50.0ms84×0valid
16.0ms10×2valid
Compiler

Compiled 748 to 94 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 97.0ms (45.5% of total)
ival-div: 34.0ms (15.9% of total)
ival-pow: 17.0ms (8% of total)
adjust: 15.0ms (7% of total)
ival-expm1: 15.0ms (7% of total)
ival-add: 9.0ms (4.2% of total)
ival-e: 7.0ms (3.3% of total)
ival-log1p: 6.0ms (2.8% of total)
ival-exp: 5.0ms (2.3% of total)
const: 4.0ms (1.9% of total)
ival-sub: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series317.0ms (2.4%)

Memory
26.4MiB live, 299.2MiB allocated
Counts
22 → 128
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)
(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))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(*.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))
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (E.f64) x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ 1/2 (* 1/6 x)))
(* 1/6 c)
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (pow (E) x)))
(* -1 (* c (- (* -1/6 x) 1/2)))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y)))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y)))))))))))) (* 1/6 (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))))))))
(* x (+ y (* x (- (* 3/2 y) y))))
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- y (* 5/6 y)))) y))))
(* x (+ y (* x (- (+ (* 3/2 y) (* x (- (+ y (* x (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))) (* 5/6 y)))) y))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* c (* x (* y (pow (log (E)) 2))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (* y (pow (log (E)) 3))))) (* 1/2 (* c (* y (pow (log (E)) 2))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* c (* x (* y (pow (log (E)) 4))))) (* 1/6 (* c (* y (pow (log (E)) 3))))))))))
(* c (* x (log (E))))
(* x (+ (* 1/2 (* c (* x (pow (log (E)) 2)))) (* c (log (E)))))
(* x (+ (* c (log (E))) (* x (+ (* 1/6 (* c (* x (pow (log (E)) 3)))) (* 1/2 (* c (pow (log (E)) 2)))))))
(* x (+ (* c (log (E))) (* x (+ (* 1/2 (* c (pow (log (E)) 2))) (* x (+ (* 1/24 (* c (* x (pow (log (E)) 4)))) (* 1/6 (* c (pow (log (E)) 3)))))))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(* 1/2 c)
(+ (* 1/6 (* c x)) (* 1/2 c))
(* 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)))))
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))))))
(/ 1 x)
(/ (+ 1 (* x (- (* 1/2 (log (E))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (* 1/4 (pow (log (E)) 2))) (* 1/2 (log (E)))))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (+ (* 1/4 (pow (log (E)) 2)) (* x (- (+ (* 1/12 (pow (log (E)) 3)) (* 1/2 (log (E)))) (+ 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 2/3 (- (* 1/2 (log (E))) 1)))))))) (* 1/2 (log (E)))))) 1))) x)
x
(* x (+ 1 (* x (- 1 (* 1/2 (log (E)))))))
(* x (+ 1 (* x (- (+ 1 (* x (- 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 1/2 (* (log (E)) (- 1 (* 1/2 (log (E)))))))))) (* 1/2 (log (E)))))))
(* x (+ 1 (* x (- (+ 1 (* x (- (+ 2/3 (* x (- 1/3 (+ (* 1/12 (pow (log (E)) 3)) (+ (* 1/4 (* (pow (log (E)) 2) (- 1 (* 1/2 (log (E)))))) (* 1/2 (* (log (E)) (- 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 1/2 (* (log (E)) (- 1 (* 1/2 (log (E))))))))))))))) (+ (* 1/4 (pow (log (E)) 2)) (* 1/2 (* (log (E)) (- 1 (* 1/2 (log (E)))))))))) (* 1/2 (log (E)))))))
(+ 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)))))))
(* 3 (* x y))
(* x (+ (* 3 y) (* 9/2 (* x y))))
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* 9/2 (* x y))))))
(* x (+ (* 3 y) (* x (+ (* 9/2 y) (* x (+ (* 27/8 (* x y)) (* 9/2 y)))))))
(* x (+ (* c y) (* x (- (* c y) (* 1/2 (* c (* y (log (E)))))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (* 2/3 (* c y)) (+ (* 1/4 (* c (* y (pow (log (E)) 2)))) (* 1/2 (* (log (E)) (- (* c y) (* 1/2 (* c (* y (log (E)))))))))))) (* 1/2 (* c (* y (log (E)))))))))
(* x (+ (* c y) (* x (- (+ (* c y) (* x (- (+ (* 2/3 (* c y)) (* x (- (* 1/3 (* c y)) (+ (* 1/12 (* c (* y (pow (log (E)) 3)))) (+ (* 1/4 (* (pow (log (E)) 2) (- (* c y) (* 1/2 (* c (* y (log (E)))))))) (* 1/2 (* (log (E)) (- (* 2/3 (* c y)) (+ (* 1/4 (* c (* y (pow (log (E)) 2)))) (* 1/2 (* (log (E)) (- (* c y) (* 1/2 (* c (* y (log (E))))))))))))))))) (+ (* 1/4 (* c (* y (pow (log (E)) 2)))) (* 1/2 (* (log (E)) (- (* c y) (* 1/2 (* c (* y (log (E)))))))))))) (* 1/2 (* c (* y (log (E)))))))))
(+ 1 (+ (exp x) (pow (exp x) 2)))
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))
(/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))
(- (pow (E) x) 1)
(* 1/6 (* c x))
(* x (+ (* 1/6 c) (* 1/2 (/ c x))))
(log (+ 1 (* y (- (pow (E) x) 1))))
(+ 1 (* y (- (pow (E) x) 1)))
(/ (+ 1 (pow (E) x)) (- (exp (* 2 x)) 1))
(/ (- (exp (* 2 x)) 1) (+ 1 (pow (E) x)))
(pow (E) x)
(* y (- (exp (* 3 x)) 1))
(* -1 (* x (+ (* -1/2 (/ c x)) (* -1/6 c))))
(* c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)))) (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))))))
(* y (+ (* c (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))))))
(* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 4))) (* 1/3 (pow (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))) 3)))))) (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2))))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))
(* 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))
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(* 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 (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 3 x)) (+ 1 (+ (exp x) (pow (exp x) 2)))) (/ 1 (+ 1 (+ (exp x) (pow (exp x) 2))))))))
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(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))
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(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
Calls

9 calls:

TimeVariablePointExpression
74.0ms
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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (exp (* x 3)) 1) y) (* 1/6 c) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y))
64.0ms
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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (exp (* x 3)) 1) y) (* 1/6 c) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y))
41.0ms
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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (exp (* x 3)) 1) y) (* 1/6 c) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y))
36.0ms
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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (exp (* x 3)) 1) y) (* 1/6 c) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y))
34.0ms
y
@-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)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (- (pow (E) x) 1) (+ (* (* 1/6 c) x) (* 1/2 c)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (- (pow (E) x) 1) c) y) (* (- (pow (E) x) 1) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (pow (E) x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (exp (* x 3)) 1) y) (* 1/6 c) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y))

simplify283.0ms (2.2%)

Memory
-8.8MiB live, 191.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07403749
126123457
081803059
Stop Event
1×iter limit
1×node limit
Counts
128 → 127
Calls
Call 1
Inputs
(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* y (- (pow (E) x) 1)))
(* c (- (pow (E) x) 1))
(* c (+ 1/2 (* 1/6 x)))
(* 1/6 c)
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (pow (E) x)))
(* -1 (* c (- (* -1/6 x) 1/2)))
3
(+ 3 (* 3 x))
(+ 3 (* x (+ 3 (* 5/2 x))))
(+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))
(* c (* x y))
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(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- y (* 5/6 y)))) (+ (* -12 (pow (- (* 3/2 y) y) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- (* 3/2 y) y))) (* 24 (- (+ (* 5/6 y) (* 9/8 y)) (+ y (+ (* 1/2 y) (* 5/6 (- (* 3/2 y) y))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y)))))))))))))
(* x y)
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(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- (* 3/2 y) y))) (+ (* 2 (pow y 3)) (* 6 (- y (* 5/6 y))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- (* 3/2 y) y))))))))
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(* c (* x (* y (log (E)))))
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(* 1/2 c)
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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)))))
1
(+ 1 (* x (* y (log (E)))))
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(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(/ 1 x)
(/ (+ 1 (* x (- (* 1/2 (log (E))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (* 1/4 (pow (log (E)) 2))) (* 1/2 (log (E)))))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (+ (* 1/4 (pow (log (E)) 2)) (* x (- (+ (* 1/12 (pow (log (E)) 3)) (* 1/2 (log (E)))) (+ 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 2/3 (- (* 1/2 (log (E))) 1)))))))) (* 1/2 (log (E)))))) 1))) x)
x
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(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 c) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (/.f64 c (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 c y)) (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))))) y))) (neg.f64 y)))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 3 x)) 1))) (+ (/ (exp x) (* y (- (exp (* 3 x)) 1))) (/ (pow (exp x) 2) (* y (- (exp (* 3 x)) 1)))))))
(+.f64 (-.f64 (+.f64 (fma.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) y) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (/.f64 (/.f64 (exp.f64 x) y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (* y (pow (- (exp (* 3 x)) 1) 2))))) y))))
(-.f64 (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) y))
(+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (+ (exp x) (pow (exp x) 2))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y))))
(-.f64 (-.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) y) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) y))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) (neg.f64 y)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)))

rewrite212.0ms (1.6%)

Memory
8.2MiB live, 202.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050316
084316
1274262
22113238
09382194
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 596
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)
(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))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)
(*.f64 #s(approx (- (pow (E) x) 1) x) c)
#s(approx (- (pow (E) x) 1) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
(*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y)
#s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x))
(*.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))
(/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (E.f64) x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) y)
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
Outputs
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) (*.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))))
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(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 #s(literal 3 binary64) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (E.f64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (E.f64) x)
(exp.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (/.f64 y (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
(*.f64 y (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y)
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 9 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) y)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) y)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) y) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) y) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) y (*.f64 #s(literal -1 binary64) y))
(fma.f64 y (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 y (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) c)
(*.f64 c #s(literal 1/6 binary64))
(*.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64))))) (/.f64 c (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 c (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 y (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 c (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (/.f64 c #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 c (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 c (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 c (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64))))) (/.f64 y (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 c (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 y (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 c y) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 c y) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (expm1.f64 x) c))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 c y) (neg.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))))
(*.f64 (/.f64 c (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 y (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 y (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 c y) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 y (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 y (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 c (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 c y) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 c y) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 c y) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c y)))
(*.f64 (*.f64 c y) (expm1.f64 x))
(*.f64 (*.f64 (expm1.f64 x) c) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) (/.f64 (*.f64 c y) #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) (*.f64 c y))
(*.f64 c (*.f64 (expm1.f64 x) y))
(*.f64 (*.f64 (expm1.f64 x) y) c)
(*.f64 y (*.f64 (expm1.f64 x) c))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 x) c) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 c y))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c y))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 c y)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c y)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c y)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 c y) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))

eval210.0ms (1.6%)

Memory
2.4MiB live, 159.1MiB allocated
Compiler

Compiled 25 139 to 3 929 computations (84.4% saved)

prune84.0ms (0.6%)

Memory
6.3MiB live, 83.1MiB allocated
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New70910719
Fresh41620
Picked325
Done022
Total71630746
Accuracy
99.6%
Counts
746 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)
✓93.1%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
63.3%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
63.6%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
▶56.0%
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
▶80.0%
(*.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))))))
51.0%
(*.f64 c (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
17.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
35.2%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
38.4%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓29.1%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
49.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
26.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
54.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
72.5%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
▶48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
43.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) 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))
72.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 c (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
▶62.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
62.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
▶64.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
✓59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
53.7%
#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))
✓61.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
19.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) y)) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x))
58.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
60.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
Compiler

Compiled 2 183 to 1 485 computations (32% saved)

simplify148.0ms (1.1%)

Memory
-23.8MiB live, 135.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
cost-diff320
(fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)))
cost-diff640
(fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) 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
0108957
0163955
1307943
2718928
32394904
46757879
08057809
Stop Event
1×iter limit
1×node limit
1×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
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(*.f64 x x)
x
(*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)))
c
#s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (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)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)))
#s(literal -1/4 binary64)
(*.f64 x y)
y
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))
#s(literal -7/24 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
y
Outputs
(*.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))))))
(*.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 y (expm1.f64 x)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(-.f64 (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 y (expm1.f64 x)) #s(literal 3 binary64)))
(log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))
(*.f64 y (expm1.f64 x))
(*.f64 (expm1.f64 x) y)
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))))
(log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))
(*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))
(fma.f64 y (expm1.f64 x) #s(literal -1 binary64))
(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 y x)) c)
(*.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 y x))
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)
(/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c)
(/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) (fma.f64 x (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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) y)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(*.f64 (*.f64 x c) (fma.f64 x (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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) y))
(fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(*.f64 (fma.f64 x (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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) y) c)
(*.f64 x x)
x
(*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)))
(*.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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)) c)
c
#s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))
#s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (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)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #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)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
(*.f64 x y)
y
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))
#s(literal -7/24 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) c) y) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(/.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) c) y) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) c) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
y

localize669.0ms (5.2%)

Memory
-21.6MiB live, 516.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.24999862397081396
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
accuracy2.755014872011983
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
accuracy19.732432604942552
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy3.6143813597937715
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
accuracy4.821780176710362
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
accuracy10.030428683888127
(fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
accuracy25.65438291494311
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
accuracy0.09765625
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy2.755014872011983
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)
accuracy13.511143845199696
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
accuracy16.45119861018614
#s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
accuracy0
(*.f64 y x)
accuracy4.162904859450815
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
accuracy25.90931845166119
#s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x))
accuracy0.19671640629507223
(-.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)))))
accuracy4.162904859450815
(*.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))))))
accuracy5.334646295160505
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
accuracy8.48231252815625
(log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))
Samples
319.0ms143×1valid
137.0ms105×0valid
30.0ms8×2valid
Compiler

Compiled 1 712 to 213 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 374.0ms
ival-mult: 107.0ms (28.6% of total)
ival-add: 81.0ms (21.6% of total)
ival-pow: 56.0ms (15% of total)
ival-div: 42.0ms (11.2% of total)
adjust: 29.0ms (7.7% of total)
const: 16.0ms (4.3% of total)
ival-expm1: 16.0ms (4.3% of total)
ival-log1p: 12.0ms (3.2% of total)
ival-e: 6.0ms (1.6% of total)
ival-sub: 5.0ms (1.3% of total)
ival-exp: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series733.0ms (5.7%)

Memory
18.1MiB live, 885.0MiB allocated
Counts
24 → 209
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))))))
(-.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 #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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c)
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(fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
#s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
Outputs
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (pow (E) x)))
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(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (pow (E) x)))
(* c (+ y (+ (* 1/2 (* x (- y (pow y 2)))) (* (pow x 2) (+ (* 1/24 (* x (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))))
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(* c (* x y))
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(* x y)
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(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (* 3/2 (* x (pow y 3))) (pow y 3)))
(* (pow x 3) (+ (* x (+ (* 5/4 (* x (pow y 3))) (* 3/2 (pow y 3)))) (pow y 3)))
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(* c x)
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(* c (* x (* y (log (E)))))
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x
(* x (+ 1 (* x (- 1 (* 1/2 (log (E)))))))
(* x (+ 1 (* x (- (+ 1 (* x (- 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 1/2 (* (log (E)) (- 1 (* 1/2 (log (E)))))))))) (* 1/2 (log (E)))))))
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(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
(+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (* (pow y 2) (- (* 2 y) 3)))))) (* 1/2 (* c (- y (pow y 2)))))))
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1/3
(+ 1/3 (* x (+ 1/2 (* -1/4 y))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
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(/ 1 x)
(/ (+ 1 (* x (- (* 1/2 (log (E))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (* 1/4 (pow (log (E)) 2))) (* 1/2 (log (E)))))) 1))) x)
(/ (+ 1 (* x (- (+ (* 1/2 (log (E))) (* x (- (+ 1/3 (+ (* 1/4 (pow (log (E)) 2)) (* x (- (+ (* 1/12 (pow (log (E)) 3)) (* 1/2 (log (E)))) (+ 2/3 (+ (* 1/4 (pow (log (E)) 2)) (* 2/3 (- (* 1/2 (log (E))) 1)))))))) (* 1/2 (log (E)))))) 1))) x)
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
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)))))))
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(* (pow y 3) (pow (- (exp x) 1) 3))
(log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2))))))
(/ (- (exp (* 2 x)) 1) (+ 1 (pow (E) x)))
(* 1/24 (* c (* (pow x 3) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))
(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x))))
(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (+ (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (* 1/2 (/ (* c (- y (pow y 2))) (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (+ (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (+ (* 1/2 (/ (* c (- y (pow y 2))) (pow x 2))) (/ (* c y) (pow x 3))))))
(* x (+ 1/2 (* -1/4 y)))
(* x (+ 1/2 (+ (* -1/4 y) (* 1/3 (/ 1 x)))))
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(* (pow x 4) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x))))
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(* (pow x 4) (+ (* 1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (+ (* 1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (+ (* 1/2 (/ (* c (- y (pow y 2))) (pow x 2))) (/ (* c y) (pow x 3))))))
(log (+ 1 (* y (* (- (exp x) 1) (- (* y (- (exp x) 1)) 1)))))
(/ (+ 1 (pow (E) x)) (- (exp (* 2 x)) 1))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(pow (E) x)
(* -1 (* (pow x 3) (+ (* -1/6 (/ (* c (+ y (* (pow y 2) (- (* 2 y) 3)))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (/ (* c (- y (pow y 2))) x))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2))))) x)) (* 1/6 (* c (+ y (* (pow y 2) (- (* 2 y) 3)))))) x)) (* -1/24 (* c (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))))
(* -1 (* x (- (* 1/4 y) 1/2)))
(* -1 (* x (- (* 1/4 y) (+ 1/2 (* 1/3 (/ 1 x))))))
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(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* c (* y (- (exp x) 1)))
(* y (+ (* -1/2 (* c (* y (+ (* -1 (pow (- (exp x) 1) 2)) (* 2 (pow (- (exp x) 1) 2)))))) (* c (- (exp x) 1))))
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(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1)))) y)) (* x (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))))) y)) (* c (* (pow x 3) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 4)))))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
Calls

9 calls:

TimeVariablePointExpression
192.0ms
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) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (+ (* (* 1/2 x) (- y (* y y))) y) (pow (E) x) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)))
184.0ms
c
@0
((* 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) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (+ (* (* 1/2 x) (- y (* y y))) y) (pow (E) x) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)))
99.0ms
y
@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) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (+ (* (* 1/2 x) (- y (* y y))) y) (pow (E) x) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)))
87.0ms
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) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (+ (* (* 1/2 x) (- y (* y y))) y) (pow (E) x) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)))
67.0ms
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) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) y) (* (/ 1 (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1))) c) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1))))) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (+ (* (* 1/2 x) (- y (* y y))) y) (pow (E) x) (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)))

simplify196.0ms (1.5%)

Memory
28.3MiB live, 271.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012927713
144867357
082386356
Stop Event
1×iter limit
1×node limit
Counts
209 → 207
Calls
Call 1
Inputs
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(* c (log (+ 1 (/ (* y (- (exp (* 3 x)) 1)) (+ 1 (+ (exp x) (pow (exp x) 2)))))))
(/ (* c (- (exp (* 2 x)) 1)) (+ 1 (pow (E) x)))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(/ (* c (* y (- (exp (* 2 x)) 1))) (+ 1 (pow (E) x)))
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1/3
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(/ 1 x)
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(* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y)))))
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(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* 1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (* y (pow (- (exp (* 3 x)) 1) 2))))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (+ (exp x) (pow (exp x) 2)))) (- (exp (* 3 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 2)) (pow (- (exp (* 3 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (+ (exp x) (pow (exp x) 2))) 3)) (* y (pow (- (exp (* 3 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 3 x)) 1) (+ 1 (+ (exp x) (pow (exp x) 2)))))) (* -1 (log (/ -1 y))))))
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(+ (* -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))))))
(* (pow y 4) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/3))) y)) (* -1/4 (* c (pow x 3)))))
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(* -1 (* y (+ (* -1 (/ (+ 1/3 (* 1/2 x)) y)) (* 1/4 x))))
(* (pow y 4) (+ (* -1 (/ (* c (* (pow x 3) (- (* -1/2 x) 1/3))) y)) (* -1/4 (* c (pow x 4)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2))))) y)) (* c (* (pow x 3) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 4)))))
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Outputs
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(* c (* x y))
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(* x y)
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(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) c) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* c (* (pow x 2) (- (* -1/24 x) 1/6))) (* c (- (* -1/2 x) 1)))) y)) (* x (+ (* -1/2 (* c x)) (* c (* (pow x 2) (- (* -7/24 x) 1/2)))))) y)) (* c (* (pow x 3) (- (* -1/2 x) 1/3)))) y)) (* -1/4 (* c (pow x 4)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) c (/.f64 (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) x (*.f64 x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) (neg.f64 y)))) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))
(+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(- (+ (log (pow (- (exp x) 1) 2)) (* -2 (log (/ -1 y)))) (/ 1 (* y (- (exp x) 1))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (-.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (- (/ 1 (- (exp x) 1)) (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2))))) y))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y))) y))
(+ (log (pow (- (exp x) 1) 2)) (+ (* -2 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (/ 1 (* y (pow (- (exp x) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp x) 1) 2)))) y)) (/ 1 (- (exp x) 1))) y))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) y)) y))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(*.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))) (*.f64 y y))

rewrite199.0ms (1.5%)

Memory
12.1MiB live, 277.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108642
0163640
1722559
26285559
08101519
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 343
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))))))
(-.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 #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)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c)
(log1p.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))))
#s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
Outputs
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) c) (+.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)))))
(/.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))))
(/.f64 (*.f64 c (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (+.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)))))
(/.f64 (*.f64 c (-.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)))) (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))))
(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))
(fma.f64 c (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (*.f64 c (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))))
(+.f64 (*.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 (*.f64 c (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)))) (*.f64 c (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64))) (pow.f64 (+.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)))) #s(literal -1 binary64)))
(*.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))) (pow.f64 (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))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.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)))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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))) (-.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)))) #s(literal -1 binary64))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))))) (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x)))) (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))) (*.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (neg.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 (expm1.f64 x) y #s(literal -1 binary64)) y) (expm1.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.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))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 y (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x y)
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y)
(fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 y (*.f64 y y)) x) y)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x) y)
(+.f64 y (*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (pow.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))

eval127.0ms (1%)

Memory
-33.1MiB live, 175.1MiB allocated
Compiler

Compiled 37 206 to 3 235 computations (91.3% saved)

prune47.0ms (0.4%)

Memory
19.5MiB live, 136.8MiB allocated
Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New53413547
Fresh21921
Picked235
Done044
Total53839577
Accuracy
99.6%
Counts
577 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)
✓93.1%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
63.3%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
63.6%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
✓56.0%
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
✓80.0%
(*.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))))))
51.0%
(*.f64 c (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
17.8%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
35.2%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
38.4%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
✓29.1%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
13.5%
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (-.f64 (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
13.6%
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))))))
72.5%
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
49.6%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
26.0%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
54.1%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
63.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
48.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
48.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
43.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) 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))
72.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 c (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
64.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
63.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
64.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
62.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
✓64.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
✓59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
59.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) c))
53.7%
#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))
✓61.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
19.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) y)) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x))
58.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
57.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
56.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
60.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
Compiler

Compiled 4 099 to 1 651 computations (59.7% saved)

regimes159.0ms (1.2%)

Memory
-23.8MiB live, 297.2MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.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)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c (fma.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (fma.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)) y)))) x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64)))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) y)) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) c) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))) y)) (neg.f64 y))) (neg.f64 y))) (pow.f64 y #s(literal 4 binary64)))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) 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 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
(*.f64 (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))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 y (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64))))) (/.f64 c (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (-.f64 (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (log.f64 (pow.f64 (expm1.f64 x) #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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

9 calls:

29.0ms
(pow.f64 (E.f64) x)
16.0ms
y
16.0ms
x
15.0ms
c
14.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Results
AccuracySegmentsBranch
95.2%2c
93.1%1x
99.4%3y
93.1%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
93.1%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
93.1%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
93.1%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
93.1%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.1%1(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes103.0ms (0.8%)

Memory
16.0MiB live, 174.2MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.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)
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Calls

9 calls:

14.0ms
c
14.0ms
x
12.0ms
y
11.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
Results
AccuracySegmentsBranch
93.1%1x
93.1%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
93.1%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
93.1%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
93.1%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
93.1%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
93.1%1(pow.f64 (E.f64) x)
93.1%1c
93.1%1y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes138.0ms (1.1%)

Memory
-6.7MiB live, 147.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (pow (E) x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (pow (E) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)
Calls

9 calls:

47.0ms
c
14.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
14.0ms
x
13.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
11.0ms
y
Results
AccuracySegmentsBranch
72.5%1c
82.1%3y
82.6%2x
72.5%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
72.5%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
72.5%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
82.4%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
82.6%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
82.6%2(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes28.0ms (0.2%)

Memory
34.6MiB live, 34.6MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x #s(literal 1 binary64)))))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
Calls

3 calls:

10.0ms
x
8.0ms
(pow.f64 (E.f64) x)
8.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
82.5%2x
82.5%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
82.5%2(pow.f64 (E.f64) x)
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes82.0ms (0.6%)

Memory
-41.4MiB live, 121.5MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
Outputs
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
Calls

5 calls:

10.0ms
(pow.f64 (E.f64) x)
10.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
10.0ms
y
10.0ms
x
8.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
78.0%3y
76.2%3(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
76.3%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
76.3%2(pow.f64 (E.f64) x)
76.3%2x
Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes61.0ms (0.5%)

Memory
-4.9MiB live, 42.0MiB 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 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
(*.f64 c #s(approx (- (log (+ 1 (pow (* y (- (exp x) 1)) 3))) (log (+ 1 (* (+ (* y (- (exp x) 1)) -1) (* y (- (exp x) 1)))))) (*.f64 (expm1.f64 x) y)))
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
Calls

2 calls:

49.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
76.3%2x
72.5%1y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes75.0ms (0.6%)

Memory
34.5MiB live, 110.2MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) c)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) y)) x y) x)))
(*.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 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* x x) (* c (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)))) (* c (+ (* (* 1/2 x) (- y (* y y))) y))) x) (*.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 c (*.f64 x x)) (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 x c) #s(literal -1/2 binary64))) y (*.f64 c (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) x) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x))) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/4 (* x y)) (+ (* 1/2 x) 1/3)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 c #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(approx (+ (* (* 1/24 (+ (* (pow y 4) -6) (+ (* (* y y) -7) (+ (* 12 (pow y 3)) y)))) x) (* (+ (* (* y y) (+ (* 2 y) -3)) y) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64))) y (fma.f64 #s(literal -7/24 binary64) x #s(literal -1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) y))) x (*.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) y) c) x)))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y))
Calls

9 calls:

10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
9.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
8.0ms
c
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
67.2%2c
64.7%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
66.8%2y
64.7%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
64.7%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
64.7%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
64.7%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
64.7%1(pow.f64 (E.f64) x)
64.7%1x
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes8.0ms (0.1%)

Memory
-20.6MiB live, 16.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
Calls

1 calls:

7.0ms
c
Results
AccuracySegmentsBranch
67.2%2c
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
Outputs
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y))
Calls

2 calls:

5.0ms
c
5.0ms
y
Results
AccuracySegmentsBranch
66.8%2y
66.3%2c
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes41.0ms (0.3%)

Memory
-10.3MiB live, 70.0MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (/ (* (- (exp (* x 3)) 1) y) (+ (* (exp x) (exp x)) (+ (exp x) 1))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) c c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) c) (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* (- (pow (E) x) 1) c) y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) c) x (*.f64 c y)) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y)) x y) x)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) c) x (*.f64 #s(literal 1/2 binary64) c)) x c) x)) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 #s(literal 1 binary64) x))) c) y))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y))
Calls

9 calls:

7.0ms
y
5.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
4.0ms
x
4.0ms
c
4.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Results
AccuracySegmentsBranch
64.8%2c
61.3%1x
61.3%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
61.3%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
61.3%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
61.3%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
61.3%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
61.3%1(pow.f64 (E.f64) x)
64.9%3y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
c
Results
AccuracySegmentsBranch
61.3%1x
61.3%1y
61.3%1c
Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch33.0ms (0.3%)

Memory
-17.5MiB live, 57.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
16.0ms
3.0313496966619786e-6
5.292739603449917e-6
15.0ms
-8.106490060609214e-25
-1.5937602232232802e-25
Samples
20.0ms84×1valid
4.0ms44×0valid
Compiler

Compiled 363 to 316 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 8.0ms (41.5% of total)
ival-e: 5.0ms (25.9% of total)
ival-mult: 2.0ms (10.4% of total)
adjust: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
ival-log1p: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9914257539650462
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch30.0ms (0.2%)

Memory
11.8MiB live, 50.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-84004470.12674901
-0.008611216362637654
Samples
17.0ms160×0valid
3.0ms40×0invalid
Compiler

Compiled 355 to 316 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-pow: 4.0ms (37.5% of total)
ival-log1p: 2.0ms (18.7% of total)
ival-mult: 2.0ms (18.7% of total)
ival-e: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch156.0ms (1.2%)

Memory
-13.9MiB live, 222.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
93.0ms
6.004740095215935e+181
3.3568843897207685e+192
37.0ms
-4.59435007634429e+234
-1.1951318195312681e+234
Samples
57.0ms197×1valid
42.0ms116×1invalid
10.0ms117×0invalid
4.0ms43×0valid
Compiler

Compiled 540 to 466 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-pow: 42.0ms (45% of total)
ival-e: 20.0ms (21.4% of total)
ival-mult: 15.0ms (16.1% of total)
adjust: 6.0ms (6.4% of total)
ival-log1p: 6.0ms (6.4% of total)
ival-sub: 4.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
10.0ms
-1.9969156984729885e-42
-5.577506234788372e-44
Samples
7.0ms27×1valid
1.0ms3×1invalid
0.0ms5×0valid
Compiler

Compiled 119 to 90 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-pow: 3.0ms (44.1% of total)
ival-e: 2.0ms (29.4% of total)
adjust: 1.0ms (14.7% of total)
ival-mult: 1.0ms (14.7% of total)
ival-sub: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
5.260214804135147e-8
129808014.63471204
Samples
2.0ms11×1valid
0.0ms5×0valid
Compiler

Compiled 89 to 69 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-pow: 1.0ms (42.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-e: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
2.5781179591788597e+25
1.2314128638385473e+26
Samples
2.0ms11×1valid
0.0ms5×0valid
Compiler

Compiled 87 to 68 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-pow: 1.0ms (43.9% of total)
ival-sub: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-e: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
-16.7MiB live, 58.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
-3.0581635938754192e+122
-6.903514295648756e+115
Samples
25.0ms93×1valid
7.0ms25×1invalid
4.0ms51×0valid
0.0ms3×0invalid
Compiler

Compiled 483 to 376 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 15.0ms (49.7% of total)
ival-e: 6.0ms (19.9% of total)
ival-mult: 3.0ms (9.9% of total)
adjust: 2.0ms (6.6% of total)
ival-log1p: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
33.5MiB live, 33.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.5781179591788597e+25
1.2314128638385473e+26
Samples
15.0ms60×1valid
2.0ms20×0valid
Compiler

Compiled 267 to 202 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow: 6.0ms (45.4% of total)
ival-e: 3.0ms (22.7% of total)
ival-sub: 1.0ms (7.6% of total)
adjust: 1.0ms (7.6% of total)
ival-mult: 1.0ms (7.6% of total)
ival-log1p: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Memory
-29.2MiB live, 46.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126547
1155547
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 6139076427730539/1180591620717411303424 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -7378697629483821/576460752303423488 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 y #s(literal -1200000000000000056739188698421035100351295243517842458424451978816323170966555044194665939058920339318401799329426458848309389670856447019472063792386471096137517726462741555536979853344749686316675472791738948755955032971356770664448 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 24999999999999999490426104218842879277678236296671041301690802973936211369639027750904286152759899626965062784790739302972087743968409506537972369498001976465107721373549430647948312576 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (<=.f64 x #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y)))
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)))
(if (<=.f64 c #s(literal 50000000000000002382364672 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 y #s(literal -70000000000000001089159129062679011698774097784474300335883940630158364681532899228548977294053321337334439660748800 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 c #s(literal 33000000000000001056964608 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Outputs
(if (<=.f64 y #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 6139076427730539/1180591620717411303424 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 6139076427730539/1180591620717411303424 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) c) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c)))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 (pow.f64 (E.f64) x) #s(literal 0 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 x #s(literal -7378697629483821/576460752303423488 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c))
(if (<=.f64 x #s(literal -7378697629483821/576460752303423488 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c))
(if (<=.f64 y #s(literal -1200000000000000056739188698421035100351295243517842458424451978816323170966555044194665939058920339318401799329426458848309389670856447019472063792386471096137517726462741555536979853344749686316675472791738948755955032971356770664448 binary64)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 24999999999999999490426104218842879277678236296671041301690802973936211369639027750904286152759899626965062784790739302972087743968409506537972369498001976465107721373549430647948312576 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
(if (<=.f64 y #s(literal -1200000000000000056739188698421035100351295243517842458424451978816323170966555044194665939058920339318401799329426458848309389670856447019472063792386471096137517726462741555536979853344749686316675472791738948755955032971356770664448 binary64)) (*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) c) (if (<=.f64 y #s(literal 24999999999999999490426104218842879277678236296671041301690802973936211369639027750904286152759899626965062784790739302972087743968409506537972369498001976465107721373549430647948312576 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) (*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))) c)))
(if (<=.f64 x #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) y) c)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* (- (pow (E) x) 1) c) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) c) x c) x)) y)))
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)))
(if (<=.f64 c #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) c) y)))
(if (<=.f64 c #s(literal 50000000000000002382364672 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 y c) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 c #s(literal 50000000000000002382364672 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 c y) #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 y #s(literal -70000000000000001089159129062679011698774097784474300335883940630158364681532899228548977294053321337334439660748800 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 y #s(literal -70000000000000001089159129062679011698774097784474300335883940630158364681532899228548977294053321337334439660748800 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (/.f64 c #s(approx (/ (+ (pow (E) x) 1) (- (exp (* 2 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) y)))
(if (<=.f64 c #s(literal 33000000000000001056964608 binary64)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x)) #s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 #s(approx (- (pow (E) x) 1) x) c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))

soundness994.0ms (7.7%)

Memory
32.2MiB live, 799.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09774505
134754338
086193834
02801255
110101079
233681053
08389965
01144
01844
17044
245439
3496039
0894024
07403749
126123457
081803059
061392
0109392
1411392
23348392
08254373
0108642
0163640
1722559
26285559
08101519
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 419 to 679 computations (52.1% saved)

preprocess76.0ms (0.6%)

Memory
31.6MiB live, 145.3MiB allocated
Remove

(negabs c)

Compiler

Compiled 1 396 to 472 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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