Logarithmic Transform

Time bar (total: 12.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze282.0ms (2.3%)

Memory
-22.4MiB live, 338.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
28.6%25%62.4%0.1%0%12.5%0%7
28.6%25%62.4%0.1%0%12.5%0%8
39.3%34.3%53%0.1%0%12.5%0%9
52.7%45.2%40.6%0.1%0%14%0%10
52.7%45.2%40.6%0.1%0%14%0%11
56%47.6%37.4%0.1%0%14.8%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.8s (30.9%)

Memory
-103.2MiB live, 4 663.8MiB allocated
Samples
2.0s4 690×1valid
434.0ms3 566×0valid
333.0ms1 602×1exit
289.0ms666×1invalid
63.0ms666×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-pow: 966.0ms (38.2% of total)
ival-mult: 554.0ms (21.9% of total)
ival-e: 476.0ms (18.8% of total)
adjust: 210.0ms (8.3% of total)
ival-log1p: 172.0ms (6.8% of total)
ival-sub: 126.0ms (5% of total)
ival-true: 10.0ms (0.4% of total)
exact: 9.0ms (0.4% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain260.0ms (2.1%)

Memory
-3.7MiB live, 516.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1810-0-(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
15654(-5.1326192737536e+63 -1.9375684617993772e-244 4.433918291345086e-231)0-(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
210-1(-2.3219304242309175e+144 3.434696061093318e-75 1.7613469005659215e-242)(*.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)))sensitivity2100
-.f64(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))cancellation450
*.f64(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))n*u200
Confusion
Predicted +Predicted -
+1690
-6720
Precision
0.7161016949152542
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16900
-67020
Precision?
0.7161016949152542
Recall?
1.0
Freqs
test
numberfreq
020
1197
239
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
99.0ms350×1valid
17.0ms162×0valid
Compiler

Compiled 169 to 48 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-pow: 35.0ms (39.3% of total)
ival-e: 17.0ms (19.1% of total)
ival-mult: 10.0ms (11.2% of total)
adjust: 9.0ms (10.1% of total)
ival-sub: 7.0ms (7.9% of total)
ival-log1p: 7.0ms (7.9% of total)
ival-add: 4.0ms (4.5% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess121.0ms (1%)

Memory
7.1MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043117
195113
2175113
3458113
4951113
51526113
62352113
72728113
82934113
93003113
103053113
113080113
123111113
133116113
143119113
153121113
01112
01812
12712
23412
34612
45512
56912
610012
715412
827812
940312
1048512
1150012
1250412
050410
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Outputs
(*.f64 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
37.7%
(*.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)

simplify18.0ms (0.2%)

Memory
-9.9MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize75.0ms (0.6%)

Memory
-2.9MiB live, 119.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
accuracy4.975133244217873
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
accuracy34.764607188558735
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
accuracy41.89243647199314
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Samples
58.0ms175×1valid
8.0ms81×0valid
Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 18.0ms (37.5% of total)
ival-e: 12.0ms (25% of total)
ival-mult: 5.0ms (10.4% of total)
adjust: 4.0ms (8.3% of total)
ival-log1p: 3.0ms (6.2% of total)
ival-sub: 2.0ms (4.2% of total)
ival-add: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series180.0ms (1.5%)

Memory
3.1MiB live, 354.6MiB allocated
Counts
5 → 49
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Outputs
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E))))))
(* x (* y (log (E))))
(* x (+ (* 1/2 (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3)))))) (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))) (* x (+ (* 1/24 (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4)))))))) (* 1/6 (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))) (* y (log (E)))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/6 (* x (* y (pow (log (E)) 3)))) (* 1/2 (* y (pow (log (E)) 2))))) (* y (log (E)))))
(* x (+ (* x (+ (* 1/2 (* y (pow (log (E)) 2))) (* x (+ (* 1/24 (* x (* y (pow (log (E)) 4)))) (* 1/6 (* y (pow (log (E)) 3))))))) (* y (log (E)))))
(* x (log (E)))
(* x (+ (log (E)) (* 1/2 (* x (pow (log (E)) 2)))))
(* x (+ (log (E)) (* x (+ (* 1/6 (* x (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2))))))
(* x (+ (log (E)) (* x (+ (* 1/2 (pow (log (E)) 2)) (* x (+ (* 1/24 (* x (pow (log (E)) 4))) (* 1/6 (pow (log (E)) 3))))))))
(+ 1 (* y (- (pow (E) x) 1)))
(log (+ 1 (* y (- (pow (E) x) 1))))
(* y (- (pow (E) x) 1))
(- (pow (E) x) 1)
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
(* c (* y (- (pow (E) x) 1)))
(* y (+ (* -1/2 (* c (* y (pow (- (pow (E) x) 1) 2)))) (* c (- (pow (E) x) 1))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* 1/3 (* c (* y (pow (- (pow (E) x) 1) 3))))))))
(* y (+ (* c (- (pow (E) x) 1)) (* y (+ (* -1/2 (* c (pow (- (pow (E) x) 1) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (pow (E) x) 1) 4)))) (* 1/3 (* c (pow (- (pow (E) x) 1) 3)))))))))
(* y (- (+ (/ 1 y) (pow (E) x)) 1))
(+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (pow (E) x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (pow (E) x) 1) 2))))
(- (+ (log (- (pow (E) x) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (pow (E) x) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (pow (E) x) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (pow (E) x) 1) 2)))))
(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1)))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (pow (E) x) 1) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (pow (E) x) 1) 3)))) (+ (* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y))))) (/ c (* y (- (pow (E) x) 1))))))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* 1/2 (/ c (* y (pow (- (pow (E) x) 1) 2))))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
Calls

9 calls:

TimeVariablePointExpression
64.0ms
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))
40.0ms
x
@-inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))
16.0ms
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))
14.0ms
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))
13.0ms
c
@inf
((+ 1 (* (- (pow (E) x) 1) y)) (log (+ 1 (* (- (pow (E) x) 1) y))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (- (pow (E) x) 1) y) (- (pow (E) x) 1))

simplify191.0ms (1.6%)

Memory
11.7MiB live, 249.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801255
110101079
233681053
08389965
Stop Event
iter limit
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)))))))))
(* 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)))))
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(-.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (E.f64) x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal -1 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))

rewrite190.0ms (1.6%)

Memory
-12.6MiB live, 300.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
01843
17043
245438
3496038
0894023
Stop Event
iter limit
node limit
iter limit
Counts
5 → 321
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) (-.f64 (*.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 x))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))
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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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64))))
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(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))
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(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) y) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x) #s(literal 1 binary64))
(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))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) y) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 6 binary64)) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y (+.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
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(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (pow.f64 (E.f64) (*.f64 x #s(literal 2/3 binary64))) (pow.f64 (E.f64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))) (neg.f64 (expm1.f64 x)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 6 binary64)) x))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/6 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
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(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) (pow.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
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(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 (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(expm1.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval50.0ms (0.4%)

Memory
23.8MiB live, 98.1MiB allocated
Compiler

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

prune46.0ms (0.4%)

Memory
-4.5MiB live, 44.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New35612368
Fresh000
Picked101
Done000
Total35712369
Accuracy
99.8%
Counts
369 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
35.2%
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))))
75.1%
(*.f64 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
16.6%
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) y))))
40.9%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
29.6%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
44.4%
(*.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)))
56.3%
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
51.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
46.4%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) c) y))
54.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
64.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Compiler

Compiled 542 to 400 computations (26.2% saved)

simplify148.0ms (1.2%)

Memory
-14.3MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
cost-diff128
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
cost-diff320
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
cost-diff0
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
cost-diff0
(*.f64 (*.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 (*.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-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
042363
073363
1147360
2382360
31259360
43539360
54795336
08404310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
y
(expm1.f64 x)
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
c
y
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
c
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
c
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 c y)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
y
x
#s(literal 1 binary64)
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
#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 (*.f64 c x) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)))
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
(*.f64 (*.f64 c x) (*.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
(*.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)
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)
x
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) x) c)
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) x y) c)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) c)
c
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 c y)
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(*.f64 (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))) c)
c
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
y
x
#s(literal 1 binary64)

localize195.0ms (1.6%)

Memory
11.9MiB live, 325.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x #s(literal 1 binary64))
accuracy4.975133244217873
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
accuracy12.032864867458038
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy34.764607188558735
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy3.5245199032166536
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
accuracy5.26831914797169
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
accuracy11.477148551317292
(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)))
accuracy23.547547963708112
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
accuracy1.950012582305968
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
accuracy3.4222430274222737
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
accuracy5.516129631800597
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
accuracy24.54952834408052
#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))
accuracy0
(*.f64 c y)
accuracy4.951026443076912
(*.f64 (*.f64 c y) x)
accuracy23.044399838166562
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
accuracy0
(expm1.f64 x)
accuracy0.00390625
(*.f64 y (expm1.f64 x))
accuracy0.01171875
(log1p.f64 (*.f64 y (expm1.f64 x)))
accuracy4.975133244217873
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Samples
128.0ms174×1valid
29.0ms82×0valid
Compiler

Compiled 695 to 87 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 45.0ms (37.6% of total)
ival-pow: 17.0ms (14.2% of total)
adjust: 13.0ms (10.9% of total)
ival-add: 13.0ms (10.9% of total)
ival-e: 10.0ms (8.3% of total)
ival-expm1: 6.0ms (5% of total)
ival-log1p: 6.0ms (5% of total)
ival-sub: 4.0ms (3.3% of total)
const: 4.0ms (3.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series501.0ms (4.1%)

Memory
-0.9MiB live, 289.8MiB allocated
Counts
20 → 166
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
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(* c (* x y))
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Calls

9 calls:

TimeVariablePointExpression
143.0ms
x
@-inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x))
134.0ms
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x))
98.0ms
c
@0
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x))
33.0ms
c
@inf
((* (log (+ 1 (* y (- (exp x) 1)))) c) (log (+ 1 (* y (- (exp x) 1)))) (* y (- (exp x) 1)) (- (exp x) 1) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c y) x) (* c y) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x))
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) (+ (* (* 1/2 x) (- y (* y y))) y) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (log (+ 1 (* (- (pow (E) x) 1) y))) (+ 1 (* (- (pow (E) x) 1) y)) (+ (* y x) 1) (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x))

simplify598.0ms (4.9%)

Memory
25.7MiB live, 141.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07843697
127673542
085893110
Stop Event
iter limit
node limit
Counts
166 → 164
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 (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
(* c (* x (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))
(* -1 (* c (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))))
(* -1 (* c (* x (+ (* -1 y) (* -1 (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))))))
(* 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)))))))
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(* x (+ y (* x (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* x (+ (* 1/24 (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
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(* x (+ y (* 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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(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* c (* x (* y (log (E)))))
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y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
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(* 1/2 (- y (pow y 2)))
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1
(+ 1 (* x (* y (log (E)))))
(+ 1 (* x (+ (* 1/2 (* x (* y (pow (log (E)) 2)))) (* y (log (E))))))
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(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
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(* 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)))))))))
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(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (- (pow (E) x) 1))
(* y (- (+ (* -1/2 (* y (pow (- (pow (E) x) 1) 2))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* 1/3 (* y (pow (- (pow (E) x) 1) 3))))) (pow (E) x)) 1))
(* y (- (+ (* y (+ (* -1/2 (pow (- (pow (E) x) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (pow (E) x) 1) 4))) (* 1/3 (pow (- (pow (E) x) 1) 3)))))) (pow (E) x)) 1))
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(* y (+ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (* y (+ (* 1/3 (* c (* (pow x 3) y))) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))))))
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(+ (log (- (exp x) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1)))))
(- (+ (log (- (exp x) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp x) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp x) 1) 2))))
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(* 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))))))
(* -1/2 (* x (pow y 2)))
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(* -1/2 (* c (* (pow x 2) (pow y 2))))
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(* -1/2 (* c (* x (pow y 2))))
(* (pow y 2) (+ (* -1/2 (* c x)) (/ (* c (+ 1 (* 1/2 x))) y)))
(* 1/3 (* c (* (pow x 2) (pow y 3))))
(* (pow y 3) (+ (* 1/3 (* c (pow x 2))) (/ (* c (* x (- (* -1/2 x) 1/2))) y)))
(* (pow y 3) (+ (* 1/3 (* c (pow x 2))) (+ (/ c (pow y 2)) (+ (/ (* c (* x (+ 1/2 (* 1/6 x)))) (pow y 2)) (/ (* c (* x (- (* -1/2 x) 1/2))) y)))))
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(* -1/2 (pow y 2))
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(+ (* -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))))))
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(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(+ (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))))
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Outputs
(* c (log (+ 1 (* y (- (exp x) 1)))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(*.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) c)
(* c (* x y))
(*.f64 (*.f64 x y) c)
(* c y)
(*.f64 c y)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(*.f64 (*.f64 c x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y) c)
(* c (+ y (* x (+ (* 1/6 (* x (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2)))))))
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(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) c) #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) c) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* 1/3 (* c (pow x 3))) (+ (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y) (/ (* x (+ c (* c (* x (+ 1/2 (* 1/6 x)))))) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) c) y))) (pow.f64 y #s(literal 3 binary64)))
(* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (exp x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* 1/2 (/ c (* y (pow (- (exp x) 1) 2))))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 c y) (/.f64 (neg.f64 c) (expm1.f64 x))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (exp x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (exp x) 1) 2))) (* 1/3 (/ c (* y (pow (- (exp x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(+ (log (* -1 (- (exp x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp x) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (neg.f64 (expm1.f64 x))))
(+ (log (* -1 (- (exp x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp x) 1) 2)))) (/ 1 (- (exp x) 1))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) 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))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 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) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 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)))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 x) 1) y)) (* -1/2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y)
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) c (*.f64 (neg.f64 c) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y)))) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (* c (- (* -1/2 x) 1)) y)) (* -1/2 (* c x))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) x (*.f64 (neg.f64 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) y))) (*.f64 y y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 2))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (*.f64 (neg.f64 c) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y))))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2)))) y)) (* c (* x (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 2))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/3 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 x) 1/2) y)) (* -1/2 x)) 1/2) y)) (* -1/3 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (pow (E) x) 1)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (pow (E) x) 1) 2)))) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(+ (log (* -1 (- (pow (E) x) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (pow (E) x) 1) 3)))) (* 1/2 (/ 1 (pow (- (pow (E) x) 1) 2)))) y)) (/ 1 (- (pow (E) x) 1))) y))))
(-.f64 (-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (E.f64) x) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)))) y))
(* -1 (* y (- (* -1 (- (pow (E) x) 1)) (/ 1 y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x)) (neg.f64 y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* c (* (pow x 2) (- (* -1/2 x) 1/2))) y)) (* -1/3 (* c (pow x 3))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (*.f64 (neg.f64 c) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) x) x) y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 c) (* c (* x (- (* -1/6 x) 1/2))))) y)) (* c (* (pow x 2) (- (* -1/2 x) 1/2)))) y)) (* -1/3 (* c (pow x 3))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) c (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) (*.f64 x x) (*.f64 (neg.f64 x) (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))

rewrite359.0ms (2.9%)

Memory
-0.1MiB live, 188.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042282
073282
1289279
22294279
08453261
Stop Event
iter limit
node limit
iter limit
Counts
20 → 371
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(log1p.f64 (*.f64 y (expm1.f64 x)))
(*.f64 y (expm1.f64 x))
(expm1.f64 x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
(*.f64 (*.f64 c y) x)
(*.f64 c y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x))
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y)) x)
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 y (*.f64 y y)) y))
(fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
(log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64))))
#s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x)
Outputs
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(log1p.f64 (*.f64 (expm1.f64 x) y))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 (expm1.f64 x) y) (-.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 (expm1.f64 x) y #s(literal 1 binary64)))
(*.f64 (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) y))
(*.f64 (*.f64 (expm1.f64 x) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) y)
(*.f64 y (expm1.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) y) (*.f64 (exp.f64 x) y) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 (exp.f64 x) y) (neg.f64 y)))))
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eval185.0ms (1.5%)

Memory
2.8MiB live, 134.2MiB allocated
Compiler

Compiled 27 057 to 2 849 computations (89.5% saved)

prune66.0ms (0.5%)

Memory
-26.8MiB live, 48.6MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New50922531
Fresh617
Picked235
Done000
Total51726543
Accuracy
99.9%
Counts
543 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
92.1%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
92.2%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
64.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
5.6%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
56.3%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
40.9%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
29.6%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
78.0%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
33.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (fma.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 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 c y)) x))
60.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x))
59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
54.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
52.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
59.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
58.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
28.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
64.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
60.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
60.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
29.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
59.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
57.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
28.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
49.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
Compiler

Compiled 1 994 to 1 341 computations (32.7% saved)

simplify135.0ms (1.1%)

Memory
-0.8MiB live, 123.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 x)
cost-diff0
(*.f64 (expm1.f64 x) c)
cost-diff0
(*.f64 (*.f64 (expm1.f64 x) c) y)
cost-diff0
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
cost-diff0
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
cost-diff640
(fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
cost-diff1024
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
cost-diff0
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
cost-diff0
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
cost-diff0
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
cost-diff0
(*.f64 x c)
cost-diff0
(*.f64 (*.f64 x c) y)
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
cost-diff0
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
cost-diff6912
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061458
094467
1171461
2346452
31105385
42304373
54092357
66959357
08080352
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 (*.f64 x c) y)
(*.f64 x c)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
c
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
(*.f64 (*.f64 x x) c)
(*.f64 x x)
x
c
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(*.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)
#s(literal 1 binary64)
y
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
x
c
y
Outputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (*.f64 (expm1.f64 x) y))
(*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (expm1.f64 x) y)
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(expm1.f64 x)
#s(literal 1 binary64)
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c x) y))
(*.f64 (*.f64 x c) y)
(*.f64 (*.f64 c x) y)
(*.f64 x c)
(*.f64 c x)
x
c
y
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) (*.f64 c x)))
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
(*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) (*.f64 c x))
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
(*.f64 #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)) c)
c
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(*.f64 (*.f64 c x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)) (*.f64 c x))
(*.f64 (*.f64 x x) c)
(*.f64 x x)
x
c
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(*.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)
#s(literal 1 binary64)
y
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
x
c
y

localize259.0ms (2.1%)

Memory
19.8MiB live, 367.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(expm1.f64 x)
accuracy0.0078125
(*.f64 (expm1.f64 x) c)
accuracy3.8368781400573884
(*.f64 (*.f64 (expm1.f64 x) c) y)
accuracy11.332183815270618
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
accuracy6.277311276420745
(*.f64 (*.f64 x x) c)
accuracy6.497831437832681
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
accuracy10.37459700095814
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
accuracy24.54952834408052
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
accuracy1.950012582305968
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
accuracy3.4222430274222737
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
accuracy5.52232089156904
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
accuracy24.54952834408052
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
accuracy0
(*.f64 x c)
accuracy5.740616574760899
(*.f64 (*.f64 x c) y)
accuracy23.044399838166562
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
accuracy0.01171875
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
accuracy0.01171875
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
accuracy0.31852333441937997
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
accuracy4.975133244217873
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
Samples
143.0ms152×1valid
78.0ms104×0valid
Compiler

Compiled 829 to 117 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 48.0ms (29.7% of total)
ival-add: 31.0ms (19.2% of total)
ival-pow: 20.0ms (12.4% of total)
ival-log1p: 14.0ms (8.7% of total)
ival-expm1: 13.0ms (8% of total)
adjust: 12.0ms (7.4% of total)
ival-div: 8.0ms (4.9% of total)
ival-e: 7.0ms (4.3% of total)
ival-exp: 5.0ms (3.1% of total)
ival-sub: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series413.0ms (3.4%)

Memory
-7.9MiB live, 390.6MiB allocated
Counts
22 → 146
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 (*.f64 x c) y)
(*.f64 x c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (*.f64 x x) c)
Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x y))
(* c x)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (+ y (* 1/2 (* x (- y (pow y 2))))))
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (* y (- (exp x) 1)))
(* c (- (exp x) 1))
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
(* c (pow x 2))
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))))
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))))
(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))
(* x y)
(* x (+ y (* 1/2 (* x (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))
(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))
(* c (* x (* y (log (E)))))
(* x (+ (* 1/2 (* c (* x (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))) (* c (* y (log (E))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2))))) (* x (+ (* 1/24 (* c (* x (+ (* -6 (* (pow y 4) (pow (log (E)) 4))) (+ (* -4 (* (pow y 2) (pow (log (E)) 4))) (+ (* -3 (* (pow y 2) (pow (log (E)) 4))) (+ (* 12 (* (pow y 3) (pow (log (E)) 4))) (* y (pow (log (E)) 4))))))))) (* 1/6 (* c (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))))))))
(* x (+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y)))
(* c y)
(+ (* 1/2 (* c (* x (- y (pow y 2))))) (* c y))
y
(+ y (* 1/2 (* x (- y (pow y 2)))))
(* x (+ c (* x (* y (+ (* -1/2 c) (* 1/2 (/ c y)))))))
(/ (* c x) y)
(* x (+ (* x (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c y)))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ y (* -1 (pow y 2))))) (* x (+ (* 1/24 (* c (* x (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))))) (* 1/6 (* c (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
(* x (+ c (* 1/2 (* c x))))
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c)))))
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c)))))))
(+ y (* x (* y (+ 1/2 (* -1/2 y)))))
(* x (+ (* c y) (* x (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))))))
(/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp x)))
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* 1/2 (* c (* x (- y (pow y 2)))))
(* x (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* 1/2 (* x (- y (pow y 2))))
(* x (+ (* 1/2 (- y (pow y 2))) (/ y x)))
(* (pow x 2) (* y (+ (* -1/2 c) (* 1/2 (/ c y)))))
(* (pow x 2) (+ (* y (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ c x)))
(* (pow x 2) (+ (* -1/2 c) (* 1/2 (/ c y))))
(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y)))))
(- (exp x) 1)
(* x (* y (+ 1/2 (* -1/2 y))))
(* x (+ (* y (+ 1/2 (* -1/2 y))) (/ y x)))
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))))
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x)))
(* -1 (* x (+ (* -1 (/ (* c y) x)) (* -1/2 (* c (- y (pow y 2)))))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (- y (pow y 2))))))
(* -1 (* x (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y x)))))
(* c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))
(* y (+ (* -1/2 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* 1/3 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))))))
(* y (+ (* c (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* y (+ (* -1/2 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (* y (+ (* -1/4 (* c (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4)))) (* 1/3 (* c (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))))))
(* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* -1/2 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* 1/3 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* y (- (+ (* y (+ (* -1/2 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)) (* y (+ (* -1/4 (* y (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 4))) (* 1/3 (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))))) (/ (exp (* 2 x)) (+ 1 (exp x)))) (/ 1 (+ 1 (exp x)))))
(* 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)))))))))
(* c (* x (* y (+ 1 (* 1/2 x)))))
(* y (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))))
(* c (* y (+ 1 (* 1/2 x))))
(* y (+ (* -1/2 (* c (* x y))) (* c (+ 1 (* 1/2 x)))))
(* y (+ 1 (* 1/2 x)))
(* y (+ 1 (+ (* -1/2 (* x y)) (* 1/2 x))))
(* c (* x (+ 1 (* 1/2 x))))
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))
(/ (* c (* x (+ 1 (* 1/2 x)))) y)
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y)
(* 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)))))))))
(* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))))
(+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))))
(+ (* -1/2 (/ c (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2)))) (+ (* 1/3 (/ c (* (pow y 3) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 3)))) (+ (* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))) (/ c (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))))
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y))))
(+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))))))
(- (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))))))) (/ 1/2 (* (pow y 2) (pow (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x)))) 2))))
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Calls

9 calls:

TimeVariablePointExpression
84.0ms
c
@0
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c))
77.0ms
x
@-inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c))
74.0ms
y
@-inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c))
68.0ms
c
@inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c))
44.0ms
x
@inf
((/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* x c) y) (* x c) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (+ (* (* 1/2 x) (- y (* y y))) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (* (- (exp x) 1) c) y) (* (- (exp x) 1) c) (- (exp x) 1) (+ (* (* (+ (* -1/2 y) 1/2) y) x) y) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (* x x) c))

simplify308.0ms (2.5%)

Memory
-4.8MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07273788
124573530
084313094
Stop Event
iter limit
node limit
Counts
146 → 144
Calls
Call 1
Inputs
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x
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(* c (* x (+ 1 (* 1/2 x))))
(+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x)))))
(/ (* c (* x (+ 1 (* 1/2 x)))) y)
(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y)
(* 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))))))))
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(* c (+ (log (- (/ (exp (* 2 x)) (+ 1 (exp x))) (/ 1 (+ 1 (exp x))))) (* -1 (log (/ 1 y)))))
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(* c (+ (log (- (pow (E) x) 1)) (* -1 (log (/ 1 y)))))
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(+ (* -1 (/ (+ (* -1 (/ c (- (pow (E) x) 1))) (* -1 (/ (+ (* -1/2 (/ c (pow (- (pow (E) x) 1) 2))) (* 1/3 (/ c (* y (pow (- (pow (E) x) 1) 3))))) y))) y)) (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))))
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Outputs
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
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(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))) (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))))))))
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(* x (+ (* c y) (* x (+ (* 1/2 (* c (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))) (* x (+ (* 1/24 (* c (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))) (* 1/6 (* c (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))))))))))))
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(* x y)
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(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
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(* x (+ y (* x (+ (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y))))) (* x (+ (* 1/24 (* x (+ (* -24 (* y (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y))))))) (+ (* -12 (pow (- y (* 1/2 y)) 2)) (+ (* -6 (pow y 4)) (+ (* 24 (* (pow y 2) (- y (* 1/2 y)))) (* 24 (- (* 1/3 y) (+ (* 1/12 y) (+ (* 1/4 (- y (* 1/2 y))) (* 1/2 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))) (* 1/6 (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))))))))
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(* c (* x (* y (log (E)))))
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(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x)
(* x (+ (* c (* y (log (E)))) (* x (+ (* 1/6 (* c (* x (+ (* -3 (* (pow y 2) (pow (log (E)) 3))) (+ (* 2 (* (pow y 3) (pow (log (E)) 3))) (* y (pow (log (E)) 3))))))) (* 1/2 (* c (+ (* -1 (* (pow y 2) (pow (log (E)) 2))) (* y (pow (log (E)) 2)))))))))
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(* 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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(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))

rewrite233.0ms (1.9%)

Memory
7.9MiB live, 167.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061369
094349
1344335
22529320
09133314
Stop Event
iter limit
node limit
iter limit
Counts
22 → 569
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 (*.f64 x c) y)
(*.f64 x c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
(*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x)
(*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)))
#s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (expm1.f64 x) c)
(expm1.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y)
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (*.f64 x x) c)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (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) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.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))) (expm1.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) 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 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(fma.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x) y)
(+.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) (*.f64 y y))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(*.f64 y (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))) (*.f64 y y))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))) (*.f64 y y)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 c x) x)
(*.f64 c (*.f64 x x))
(*.f64 x (*.f64 c x))

eval137.0ms (1.1%)

Memory
21.2MiB live, 92.6MiB allocated
Compiler

Compiled 21 875 to 3 156 computations (85.6% saved)

prune133.0ms (1.1%)

Memory
-18.2MiB live, 105.0MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New55913572
Fresh51318
Picked325
Done033
Total56731598
Accuracy
99.9%
Counts
598 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
73.8%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
67.3%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
92.2%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
64.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
56.3%
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
5.6%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
40.9%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
29.6%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
59.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x))
78.0%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
78.0%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
56.9%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
33.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (fma.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 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 c y)) x))
60.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x))
59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
52.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
28.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
64.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
60.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
60.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
29.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
57.6%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
28.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
49.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
45.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
43.8%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
Compiler

Compiled 2 480 to 1 637 computations (34% saved)

simplify122.0ms (1%)

Memory
15.9MiB live, 176.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
cost-diff0
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
cost-diff320
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
cost-diff0
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
cost-diff640
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
cost-diff0
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
cost-diff0
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))
cost-diff0
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
cost-diff0
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
cost-diff0
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
cost-diff320
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
cost-diff6848
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
cost-diff14144
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081623
0112570
1206556
2374538
31257473
43853473
56999473
08234449
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
c
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
#s(literal -1 binary64)
y
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
(*.f64 y x)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))
(*.f64 (/.f64 c y) x)
(/.f64 c y)
c
y
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
(*.f64 (*.f64 c x) x)
(*.f64 c x)
c
x
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(*.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)
#s(literal 1 binary64)
y
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
c
Outputs
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)
(*.f64 (*.f64 (expm1.f64 x) c) y)
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(*.f64 (expm1.f64 x) c)
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(literal 1 binary64)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) c)
c
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
#s(literal -1 binary64)
y
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
c
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y))))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y)))
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) (*.f64 y y))
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))
(*.f64 (/.f64 c y) x)
(/.f64 c y)
c
y
x
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 (*.f64 (*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y) y)
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(*.f64 (*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) y)
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
(*.f64 (*.f64 c x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y)))
(*.f64 (*.f64 c x) x)
(*.f64 c x)
c
x
#s(literal -1/2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)
(*.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)
#s(literal 1 binary64)
y
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
c

localize285.0ms (2.3%)

Memory
4.3MiB live, 450.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
accuracy0.31852333441937997
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
accuracy4.975133244217873
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
accuracy18.28112096680257
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy5.24939717110145
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
accuracy6.497831437832681
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
accuracy10.37459700095814
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
accuracy24.54952834408052
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
accuracy6.497831437832681
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
accuracy10.37459700095814
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
accuracy22.952802656284916
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))
accuracy24.54952834408052
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
accuracy0
(*.f64 y x)
accuracy4.975133244217873
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
accuracy25.32341886401561
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
accuracy0.00390625
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
accuracy0.15625
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
accuracy3.8368781400573884
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)
accuracy11.332183815270618
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
Samples
160.0ms152×1valid
81.0ms104×0valid
Compiler

Compiled 1 099 to 148 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 83.0ms (43.1% of total)
ival-div: 24.0ms (12.5% of total)
ival-pow: 24.0ms (12.5% of total)
adjust: 14.0ms (7.3% of total)
ival-expm1: 12.0ms (6.2% of total)
ival-log1p: 9.0ms (4.7% of total)
ival-e: 8.0ms (4.2% of total)
ival-add: 8.0ms (4.2% of total)
ival-sub: 5.0ms (2.6% of total)
ival-exp: 4.0ms (2.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series299.0ms (2.5%)

Memory
-5.1MiB live, 350.3MiB allocated
Counts
25 → 128
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
(*.f64 y x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
(* c (- (exp x) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))
(* c (* y (- (exp x) 1)))
(/ (* c (* x (+ 1 (* 1/2 x)))) y)
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))))
(* -1 (* c (* y (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))))
(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))
1
(* c x)
(* x (+ c (* 1/2 (* c x))))
(* x (+ c (* x (+ (* 1/6 (* c x)) (* 1/2 c)))))
(* x (+ c (* x (+ (* 1/2 c) (* x (+ (* 1/24 (* c x)) (* 1/6 c)))))))
(* c (* x y))
(* x (+ (* 1/2 (* c (* x (+ y (* -1 (pow y 2)))))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))) (* 1/2 (* c (+ y (* -1 (pow y 2)))))))))
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x
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Calls

9 calls:

TimeVariablePointExpression
79.0ms
c
@inf
((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))
50.0ms
c
@-inf
((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))
46.0ms
c
@0
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39.0ms
x
@-inf
((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))
38.0ms
x
@inf
((/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1)) (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) (* (log (+ 1 (* y (- (exp x) 1)))) c) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (* y x) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (* (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) y) (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))) (* (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) c) (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (* (* (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) (/ c (pow (- (exp x) 1) -1))) y) (pow (- (exp x) 1) -1) (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (* (+ (* (* (* c x) x) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (/ (* (* (+ (* 1/2 x) 1) x) c) y) (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))

simplify239.0ms (2%)

Memory
-21.5MiB live, 132.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06943530
123173323
279093319
082202848
Stop Event
iter limit
node limit
Counts
128 → 127
Calls
Call 1
Inputs
(* c (- (exp x) 1))
(* c (log (+ 1 (* y (- (exp x) 1)))))
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
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(* c (* y (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
(* c (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y)))
(* c (* y (- (exp x) 1)))
(/ (* c (* x (+ 1 (* 1/2 x)))) y)
(* -1 (* c (* (pow y 2) (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2))))))
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(* -1 (* c (+ (* -1 (/ (* x (+ 1 (* 1/2 x))) y)) (* 1/2 (pow x 2)))))
1
(* c x)
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(* x y)
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(* x (+ y (* x (+ (* 1/6 (* x (+ (* -6 (* y (- y (* 1/2 y)))) (+ (* 2 (pow y 3)) (* 6 (- (* 2/3 y) (+ (* 1/4 y) (* 1/2 (- y (* 1/2 y)))))))))) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (- y (* 1/2 y)))))))))
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(* x (+ c (* x (* y (+ (* -1/2 c) (* 1/2 (/ c y)))))))
(/ (* c x) y)
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x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* x (+ (* 1/2 (* c (* x y))) (* c y)))
(* x (+ (* c y) (* x (+ (* 1/6 (* c (* x y))) (* 1/2 (* c y))))))
(* x (+ (* c y) (* x (+ (* 1/2 (* c y)) (* x (+ (* 1/24 (* c (* x y))) (* 1/6 (* c y))))))))
(/ 1 x)
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)
(* x (+ (* 1/2 (/ (* c x) y)) (/ c y)))
(log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))))
(* 1/2 (* c (* (pow x 2) (- y (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (* c (- y (pow y 2)))) (/ (* c y) x)))
(* (pow x 2) (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))))
(* (pow x 2) (+ (* (pow y 2) (+ (* -1/2 c) (* 1/2 (/ c y)))) (/ (* c y) x)))
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(* (pow x 2) (+ (* -1/2 c) (+ (* 1/2 (/ c y)) (/ c (* x y)))))
(/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x)))
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(* 1/2 (/ (* c (pow x 2)) y))
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(/ (+ (* -1/2 (* c (* (pow x 2) y))) (* c (* x (+ 1 (* 1/2 x))))) y)
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(* -1/2 (* c (* (pow x 2) (pow y 2))))
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Outputs
(* c (- (exp x) 1))
(*.f64 (expm1.f64 x) c)
(* c (log (+ 1 (* y (- (exp x) 1)))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(* c (log (+ 1 (/ (* y (- (exp (* 2 x)) 1)) (+ 1 (exp x))))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 y (+.f64 (exp.f64 x) #s(literal 1 binary64))))) c)
(* c (log (+ 1 (* y (- (pow (E) x) 1)))))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 x) y)) c)
(* c (* x (+ y (* 1/2 (* x (- y (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) x) #s(literal 1/2 binary64) y) x) c)
(* c (* (pow y 2) (+ (* -1/2 (pow x 2)) (/ (* x (+ 1 (* 1/2 x))) y))))
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(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) y) (/.f64 (neg.f64 (fma.f64 (exp.f64 x) c c)) (expm1.f64 (+.f64 x x)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ (* c (+ 1 (exp x))) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (* c (pow (+ 1 (exp x)) 2)) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (* c (pow (+ 1 (exp x)) 3)) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y)) (* c (+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))))
(fma.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 c y)) (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) c) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (fma.f64 (exp.f64 x) c c) (expm1.f64 (+.f64 x x)))) (neg.f64 y)))
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (+ (/ 1 (* y (- (exp (* 2 x)) 1))) (/ (exp x) (* y (- (exp (* 2 x)) 1))))))
(+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 x) y) (expm1.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 (+.f64 x x)))) (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* 1/2 (/ (pow (+ 1 (exp x)) 2) (* y (pow (- (exp (* 2 x)) 1) 2))))) y))))
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x)))) y))
(+ (log (* -1 (/ (- (exp (* 2 x)) 1) (+ 1 (exp x))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 (/ (+ 1 (exp x)) (- (exp (* 2 x)) 1))) (* -1 (/ (+ (* -1/2 (/ (pow (+ 1 (exp x)) 2) (pow (- (exp (* 2 x)) 1) 2))) (* 1/3 (/ (pow (+ 1 (exp x)) 3) (* y (pow (- (exp (* 2 x)) 1) 3))))) y))) y))))
(-.f64 (-.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 #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) y) (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))) y))
(* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c)
(+ (* c (+ (log (* -1 (- (pow (E) x) 1))) (* -1 (log (/ -1 y))))) (/ c (* y (- (pow (E) x) 1))))
(fma.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 c (*.f64 (expm1.f64 x) y)))
(+ (* -1 (/ (+ (* -1 (/ c (- (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 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 c) (expm1.f64 x))) (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 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) y))) c (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 c (*.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) y)) #s(literal 1/3 binary64) (*.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y)) (/.f64 c (expm1.f64 x))) (neg.f64 y)))
(* (pow y 2) (+ (* -1 (/ (* c (* x (- (* -1/2 x) 1))) y)) (* -1/2 (* c (pow x 2)))))
(*.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) y) (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))) (*.f64 y y))
(* -1 (* y (+ (* -1 (/ (* c (* x (+ 1 (* 1/2 x)))) y)) (* 1/2 (* c (pow x 2))))))
(*.f64 (*.f64 (neg.f64 c) y) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))

rewrite221.0ms (1.8%)

Memory
20.4MiB live, 178.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081556
0112458
1440436
22828436
08365422
Stop Event
iter limit
node limit
iter limit
Counts
25 → 372
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x))
(*.f64 y x)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y))
(*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)
(*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y)
(fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y)
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
#s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x))
(*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 c (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 c #s(literal 1 binary64)) (expm1.f64 x))
(*.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 c (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/2 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 c (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 c) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) c))
(*.f64 (*.f64 (expm1.f64 x) c) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) c)
(*.f64 c (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 c #s(literal -1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (/.f64 c (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 c (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) c) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))))
(/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 c (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 x) c) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64))) y) (-.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64))) y) (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (*.f64 c x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) y (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) y))
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) y (*.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) y))
(fma.f64 y (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) (*.f64 y (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(fma.f64 y (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) (*.f64 y (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) y) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) y))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y) y) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64)) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))) (*.f64 y (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)))
(+.f64 (*.f64 y (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) (*.f64 y (*.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))
(*.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 c y))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 c y) x))
(*.f64 (/.f64 c y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y))
(*.f64 c (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y))
(*.f64 c (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 c y)))
(pow.f64 (/.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (neg.f64 (/.f64 y c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 y c))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 y c)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 y c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))))
(neg.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y))
(neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c))) #s(literal -1 binary64)))
(*.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))

eval63.0ms (0.5%)

Memory
0.9MiB live, 80.8MiB allocated
Compiler

Compiled 20 151 to 2 374 computations (88.2% saved)

prune51.0ms (0.4%)

Memory
16.6MiB live, 55.9MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New4327439
Fresh61521
Picked325
Done055
Total44129470
Accuracy
99.9%
Counts
470 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) c)
73.8%
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
92.2%
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
64.2%
(*.f64 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
56.3%
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
5.6%
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
40.9%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
29.6%
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
79.8%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
59.6%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) x))
78.0%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
78.0%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) #s(literal 1 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
56.9%
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y))
55.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 c y)) x))
60.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) y))) x (*.f64 c y)) x))
59.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
52.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
28.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
64.3%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
60.1%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
60.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
28.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
56.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c)) y)))
26.7%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
50.0%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
45.9%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
43.5%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
26.2%
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
Compiler

Compiled 3 129 to 1 176 computations (62.4% saved)

regimes140.0ms (1.1%)

Memory
-14.6MiB live, 142.7MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) 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 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
(*.f64 (log1p.f64 (/.f64 y #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (pow.f64 x #s(literal -1 binary64))))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp (* 2 x)) 1)) #s(literal 1 binary64)) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) y))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 x)))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x c) (fma.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 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 c y) #s(literal 2 binary64))) x) (*.f64 c (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) x (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) x) y))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 c (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) 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 c (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 (expm1.f64 x) y) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 y) (expm1.f64 x)))) c)
(*.f64 c (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 (fma.f64 y (expm1.f64 x) #s(literal -1 binary64)) (*.f64 y (expm1.f64 x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 6 binary64))) (pow.f64 (*.f64 y (expm1.f64 x)) #s(literal 3 binary64)))))))
Outputs
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)
Calls

9 calls:

23.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
22.0ms
c
14.0ms
x
14.0ms
y
14.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Results
AccuracySegmentsBranch
96.0%2c
92.2%1x
99.7%3y
92.2%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
92.2%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
92.2%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
92.2%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
92.2%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
92.2%1(pow.f64 (E.f64) x)
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes131.0ms (1.1%)

Memory
-0.6MiB live, 121.8MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) 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 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) c (*.f64 c (/.f64 y x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) c) x) x (/.f64 (fma.f64 (*.f64 c (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64))) x (/.f64 (*.f64 c (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))) x))
Outputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
Calls

9 calls:

30.0ms
x
26.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
14.0ms
c
11.0ms
y
9.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
Results
AccuracySegmentsBranch
85.5%2x
79.8%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
81.5%2(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
81.5%2(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
87.1%4(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
85.5%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
85.5%2(pow.f64 (E.f64) x)
84.6%2c
94.6%3y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes13.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) 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 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
Outputs
(*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
93.4%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes43.0ms (0.3%)

Memory
-13.4MiB live, 25.1MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) 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 (log1p.f64 (*.f64 y #s(approx (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (/.f64 (*.f64 (neg.f64 c) y) (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
Outputs
(*.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)
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)
Calls

1 calls:

40.0ms
y
Results
AccuracySegmentsBranch
91.8%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes60.0ms (0.5%)

Memory
3.9MiB live, 121.5MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) 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) c) y))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))
Calls

6 calls:

11.0ms
x
11.0ms
y
11.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
10.0ms
c
8.0ms
(pow.f64 (E.f64) x)
Results
AccuracySegmentsBranch
78.0%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
80.1%2c
80.4%2x
80.2%2(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
80.2%2(pow.f64 (E.f64) x)
84.8%3y
Compiler

Compiled 18 to 29 computations (-61.1% saved)

regimes40.0ms (0.3%)

Memory
-1.8MiB live, 72.7MiB 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 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
Outputs
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
Calls

4 calls:

13.0ms
y
10.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
7.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
7.0ms
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
Results
AccuracySegmentsBranch
78.0%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
78.0%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
78.0%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
82.1%3y
Compiler

Compiled 32 to 33 computations (-3.1% saved)

regimes87.0ms (0.7%)

Memory
5.7MiB live, 165.8MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c #s(approx (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 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)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (fma.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))) x (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal 1/3 binary64)) y (*.f64 (*.f64 c 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))))) c) y)) x))
(*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) #s(literal 1 binary64))))
Outputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y)))
Calls

9 calls:

12.0ms
x
12.0ms
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
11.0ms
(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
9.0ms
y
Results
AccuracySegmentsBranch
64.3%1(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))
64.3%1(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))
64.3%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
64.3%1(*.f64 c (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))))
66.5%2c
64.3%1(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))
64.3%1(pow.f64 (E.f64) x)
64.3%1x
64.3%1y
Compiler

Compiled 49 to 59 computations (-20.4% saved)

regimes12.0ms (0.1%)

Memory
-18.0MiB live, 20.7MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 x c) y))
(*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))
(*.f64 #s(approx (log (+ 1 (* y (- (exp x) 1)))) (*.f64 x y)) c)
(*.f64 #s(approx (log (+ 1 (* y (/ 1 (/ (+ (exp x) 1) (- (exp (* x 2)) 1)))))) (*.f64 y x)) c)
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 #s(approx (* (- (exp x) 1) c) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) c) #s(literal -1/2 binary64))) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64))) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) y) c) #s(literal -1/2 binary64))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 y y) #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 #s(approx (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) (*.f64 (/.f64 c y) x)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x y))) x))
#s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) y y) c) 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 (fma.f64 (*.f64 c #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 (*.f64 c y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 #s(approx (* c (+ (* (* 1/2 x) (- y (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) c (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) c)) y)) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y x)) x))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) c) #s(literal -1/2 binary64) (*.f64 (*.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)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 #s(approx (* (+ (* (* (* x x) c) -1/2) (/ (* (* (+ (* 1/2 x) 1) x) c) y)) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) c)) y) x c) x)) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c #s(approx (+ (* (* 1/2 x) (- y (* y y))) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 y))) y) y))) x))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (*.f64 y c) y) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) y)))))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c x) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) #s(approx (* (* c (+ (* (* 1/2 x) (- y (* y y))) y)) x) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) c) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) c) y)) y) 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 x c) y))
Calls

1 calls:

8.0ms
c
Results
AccuracySegmentsBranch
66.5%2c
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory
11.4MiB live, 11.4MiB 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
c
1.0ms
y
1.0ms
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
Results
AccuracySegmentsBranch
64.3%1y
64.3%1(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)
64.3%1c
Compiler

Compiled 9 to 14 computations (-55.6% saved)

bsearch25.0ms (0.2%)

Memory
-2.4MiB live, 41.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
20.0ms
3.869204194528151e-84
4.765726858146534e-74
4.0ms
-1.2129606031829259e-21
-4.080898574203035e-27
Samples
16.0ms55×1valid
3.0ms41×0valid
Compiler

Compiled 165 to 154 computations (6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow: 5.0ms (39.8% of total)
ival-e: 2.0ms (15.9% of total)
ival-mult: 2.0ms (15.9% of total)
adjust: 1.0ms (8% of total)
ival-sub: 1.0ms (8% of total)
ival-log1p: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch79.0ms (0.6%)

Memory
-20.0MiB live, 147.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
0.25720733396117923
3428450766.3090944
27.0ms
-7.814999709727187
-0.0630650218575627
Samples
46.0ms202×1valid
9.0ms70×0valid
3.0ms35×0invalid
Compiler

Compiled 656 to 568 computations (13.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 22.0ms (46.8% of total)
ival-e: 8.0ms (17% of total)
ival-mult: 6.0ms (12.8% of total)
adjust: 4.0ms (8.5% of total)
ival-log1p: 4.0ms (8.5% of total)
ival-sub: 3.0ms (6.4% 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
30.0MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.25720733396117923
3428450766.3090944
18.0ms
-7.814999709727187
-0.0630650218575627
Samples
13.0ms57×1valid
2.0ms23×0valid
Compiler

Compiled 635 to 554 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 5.0ms (42.7% of total)
ival-e: 2.0ms (17.1% of total)
ival-mult: 2.0ms (17.1% of total)
adjust: 1.0ms (8.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-log1p: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.25720733396117923
3428450766.3090944
1.0ms
-7.814999709727187
-0.0630650218575627
Compiler

Compiled 593 to 526 computations (11.3% saved)

bsearch162.0ms (1.3%)

Memory
-26.1MiB live, 211.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
111.0ms
4.591761285516689e+142
3.6135952888479566e+168
41.0ms
-1.5459584802094045e+98
-5.317147532019158e+91
Samples
72.0ms269×1valid
16.0ms51×1invalid
9.0ms99×0invalid
5.0ms51×0valid
Compiler

Compiled 715 to 616 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-pow: 39.0ms (46.7% of total)
ival-e: 16.0ms (19.2% of total)
ival-mult: 10.0ms (12% of total)
ival-log1p: 7.0ms (8.4% of total)
adjust: 6.0ms (7.2% of total)
ival-sub: 4.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch109.0ms (0.9%)

Memory
9.8MiB live, 90.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
70.0ms
7.16188906057464e+43
3.634395882935317e+48
35.0ms
-5.052183725099911e+101
-1.5459584802094045e+98
Samples
85.0ms149×1valid
6.0ms43×0valid
3.0ms12×1invalid
2.0ms29×0invalid
Compiler

Compiled 423 to 364 computations (13.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-e: 56.0ms (64% of total)
ival-pow: 16.0ms (18.3% of total)
ival-log1p: 5.0ms (5.7% of total)
ival-mult: 4.0ms (4.6% of total)
adjust: 3.0ms (3.4% of total)
ival-sub: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch68.0ms (0.6%)

Memory
0.9MiB live, 78.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
65.0ms
8.89814184465011e+144
1.1939133023106923e+150
Samples
53.0ms100×1valid
4.0ms44×0valid
Compiler

Compiled 825 to 574 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 10.0ms (44.9% of total)
ival-e: 4.0ms (17.9% of total)
ival-mult: 3.0ms (13.5% of total)
adjust: 2.0ms (9% of total)
ival-log1p: 2.0ms (9% of total)
ival-sub: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-3.6MiB live, 33.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
18.0ms
4.878819119105398e+58
7.443497051937778e+58
Samples
14.0ms45×1valid
2.0ms19×0valid
Compiler

Compiled 159 to 136 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-e: 5.0ms (37.5% of total)
ival-pow: 4.0ms (30% of total)
ival-sub: 1.0ms (7.5% of total)
adjust: 1.0ms (7.5% of total)
ival-mult: 1.0ms (7.5% of total)
ival-log1p: 1.0ms (7.5% 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
17.0MiB live, 58.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127499
1154499
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.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 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 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 650000000000000026732541590770755296822708183107577429312075915217285436348848511404349944606867884674747427031562586272986969445768640811959212455871295637268987904 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.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 -489999999999999979138050483452856046887616493986414915123784174310586161372115628331021822530158592 binary64)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x))) (if (<=.f64 y #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 y x)))))
(if (<=.f64 c #s(literal 181999999999999996350243318677158453760434963453454510740414036232510558561518949940372068394153493291614548832957614095794669682884725838064910336 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))))
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 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 x c) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))
Outputs
(if (<=.f64 y #s(literal -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) c)))
(if (<=.f64 y #s(literal -5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y))) (if (<=.f64 y #s(literal 5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 c (log1p.f64 (*.f64 (expm1.f64 x) y)))))
(if (<=.f64 y #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
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(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp x) 1) (- (exp (* x 2)) 1)) (/.f64 #s(literal 1 binary64) x))) y)) c) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.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 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 (log1p.f64 (*.f64 y #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) c)))
(if (<=.f64 y #s(literal -4278419646001971/562949953421312 binary64)) (*.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 2476979795053773/2251799813685248 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 (log1p.f64 (*.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) y)) c)))
(if (<=.f64 y #s(literal -145000000000000004977088937725565589305491846059545076785138653284035503917712588772788706952085504 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 650000000000000026732541590770755296822708183107577429312075915217285436348848511404349944606867884674747427031562586272986969445768640811959212455871295637268987904 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 (expm1.f64 x) c) y)) (*.f64 c (log.f64 #s(approx (+ 1 (* (- (pow (E) x) 1) y)) (fma.f64 y x #s(literal 1 binary64)))))))
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(if (<=.f64 y #s(literal -489999999999999979138050483452856046887616493986414915123784174310586161372115628331021822530158592 binary64)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c) (if (<=.f64 y #s(literal 100000000000000008821361405306422640701865984 binary64)) #s(approx (* (log (+ 1 (* y (- (exp x) 1)))) c) (*.f64 (*.f64 c (expm1.f64 x)) y)) (*.f64 #s(approx (log (+ 1 (* (- (pow (E) x) 1) y))) (*.f64 x y)) c)))
(if (<=.f64 c #s(literal 181999999999999996350243318677158453760434963453454510740414036232510558561518949940372068394153493291614548832957614095794669682884725838064910336 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)))) #s(approx (* (+ (* (* c (+ (* (* 1/6 x) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2))) x) (* c y)) x) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/2 binary64)) y) x) x) c (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) c) x)) y))))
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 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 x c) y)))
(if (<=.f64 c #s(literal 54999999999999999000352057221520889005857937417606474498048 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 c x) y)))
#s(approx (* c (log (+ 1 (* (- (pow (E) x) 1) y)))) (*.f64 (*.f64 c y) x))

soundness862.0ms (7.1%)

Memory
3.2MiB live, 768.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07843697
127673542
085893110
01143
01843
17043
245438
3496038
0894023
042282
073282
1289279
22294279
08453261
02801255
110101079
233681053
08389965
07273788
124573530
084313094
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 299 to 553 computations (57.4% saved)

preprocess146.0ms (1.2%)

Memory
-18.2MiB live, 137.1MiB allocated
Remove

(negabs c)

Compiler

Compiled 1 116 to 342 computations (69.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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