System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

Time bar (total: 20.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze373.0ms (1.8%)

Memory
55.5MiB live, 503.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
18.8%17.5%76%0.2%0%6.2%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample8.3s (41.2%)

Memory
57.6MiB live, 5 817.4MiB allocated
Samples
3.9s4 565×1valid
1.5s3 691×0valid
1.1s1 224×5exit
399.0ms662×1invalid
288.0ms1 764×0invalid
240.0ms416×4exit
Precisions
Click to see histograms. Total time spent on operations: 5.6s
ival-log: 2.9s (51.4% of total)
ival-exp: 993.0ms (17.7% of total)
ival-mult: 491.0ms (8.7% of total)
adjust: 372.0ms (6.6% of total)
ival-sub: 358.0ms (6.4% of total)
ival-div: 338.0ms (6% of total)
ival-add: 156.0ms (2.8% of total)
ival-true: 10.0ms (0.2% of total)
exact: 8.0ms (0.1% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain605.0ms (3%)

Memory
-39.0MiB live, 499.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15251(2.260517632726237e+189 -1.287231176830584e-112 -5.0176769480620276e-234 -4.253708207469414e-279)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
708(4.1005096814645334e-144 54306026863468.125 2.0806092323561745e-137 9.055354687219524e+37)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
210-3(-5.9588097715444585e+75 6.396535148488805e-95 -9.118560855956898e-225 -4.495724609836061e-145)(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-y
00-0-(*.f64 y (exp.f64 z))
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))sensitivity2020
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation340
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n30
(exp.f64 z)underflow61
(*.f64 y (exp.f64 z))underflow61
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow51
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue10
(exp.f64 z)overflow1
(*.f64 y (exp.f64 z))overflow1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow1
Confusion
Predicted +Predicted -
+876
-13033
Precision
0.4009216589861751
Recall
0.9354838709677419
Confusion?
Predicted +Predicted MaybePredicted -
+8706
-130033
Precision?
0.4009216589861751
Recall?
0.9354838709677419
Freqs
test
numberfreq
039
1194
223
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
397.0ms318×1valid
67.0ms122×2valid
7.0ms72×0valid
Compiler

Compiled 131 to 40 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 438.0ms
ival-exp: 298.0ms (68% of total)
ival-log: 72.0ms (16.4% of total)
adjust: 25.0ms (5.7% of total)
ival-sub: 22.0ms (5% of total)
ival-div: 9.0ms (2.1% of total)
ival-mult: 7.0ms (1.6% of total)
ival-add: 5.0ms (1.1% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess264.0ms (1.3%)

Memory
6.8MiB live, 82.5MiB allocated
Algorithm
egg-herbie
Rules
868×sub-neg
642×unsub-neg
630×times-frac
620×distribute-lft-neg-in
588×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1147186
2389184
3977184
42674184
54762184
65442184
75699184
85904184
96037184
106125184
116572184
126716184
136728184
146738184
156738184
166738184
176738184
01213
01913
12913
25413
39313
418813
535613
650913
757013
863713
968913
1081713
1190713
1291413
1391513
09159
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify44.0ms (0.2%)

Memory
-7.7MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff64
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
cost-diff320
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Rules
544×lower-fma.f64
544×lower-fma.f32
272×lower-*.f32
270×lower-*.f64
176×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01955
12955
25455
39355
418855
535655
650955
757055
863755
968955
1081755
1190755
1291455
1391555
091540
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t

localize174.0ms (0.9%)

Memory
-21.4MiB live, 196.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f64 y (exp.f64 z))
accuracy4.464729988662531
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy16.599125866747986
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy34.25082076711028
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
79.0ms159×1valid
44.0ms61×2valid
36.0ms36×0valid
Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-log: 43.0ms (39.2% of total)
ival-exp: 34.0ms (31% of total)
adjust: 17.0ms (15.5% of total)
ival-sub: 6.0ms (5.5% of total)
ival-div: 4.0ms (3.6% of total)
ival-mult: 3.0ms (2.7% of total)
ival-add: 3.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series149.0ms (0.7%)

Memory
18.2MiB live, 166.4MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) (patch (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) (patch (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #<representation binary64>) () ())
#s(alt (*.f64 y (exp.f64 z)) (patch (*.f64 y (exp.f64 z)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (exp z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* 1/2 (* y z))))) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) (taylor 0 z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) (patch (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp z) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1)) (taylor 0 y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2)))) (taylor inf y) (#s(alt (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (patch (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #<representation binary64>) () ())) ())
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Calls

39 calls:

TimeVariablePointExpression
54.0ms
z
@inf
(log (+ (- 1 y) (* y (exp z))))
26.0ms
t
@inf
(/ (log (+ (- 1 y) (* y (exp z)))) t)
26.0ms
z
@-inf
(log (+ (- 1 y) (* y (exp z))))
12.0ms
t
@0
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
12.0ms
t
@0
(/ (log (+ (- 1 y) (* y (exp z)))) t)

simplify405.0ms (2%)

Memory
19.9MiB live, 491.5MiB allocated
Algorithm
egg-herbie
Rules
15 880×lower-fma.f64
15 880×lower-fma.f32
6 656×lower-+.f64
6 656×lower-+.f32
5 266×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03352380
110122276
231642227
082111752
Stop Event
iter limit
node limit
Counts
156 → 149
Calls
Call 1
Inputs
1
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (- (exp z) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
1
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(- (+ 1 (* y (exp z))) y)
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ 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)))))))))))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(*.f64 y (expm1.f64 z))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64))) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(*.f64 y (fma.f64 y (fma.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64))) (*.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64)))) (expm1.f64 z)))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y y)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (log.f64 y) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 y y)))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64))))) y))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (+.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (neg.f64 (expm1.f64 z)) #s(literal 2 binary64)))))) y)))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) (*.f64 z #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x)
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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x
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x
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x
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(/ (* y (- (exp z) 1)) t)
(*.f64 (expm1.f64 z) (/.f64 y t))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t)))
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
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(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (neg.f64 y)))) t))
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(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(*.f64 z (fma.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t)) (/.f64 y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) (/.f64 z t)) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) t)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t)) (/.f64 y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))

rewrite337.0ms (1.7%)

Memory
-32.5MiB live, 370.4MiB allocated
Rules
6 580×lower-fma.f64
6 580×lower-fma.f32
4 130×lower-*.f32
4 128×lower-*.f64
3 042×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17345
259345
3720445
0898438
Stop Event
iter limit
node limit
iter limit
Counts
5 → 287
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) (neg.f64 y)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 x t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))
(*.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))
(*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(*.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (/.f64 (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))))
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64)))) (-.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (-.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (+.f64 x (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) (-.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) t) (/.f64 (log.f64 (fma.f64 (*.f64 y y) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (exp.f64 z) y))))) t))
(-.f64 (/.f64 (log.f64 (fma.f64 (*.f64 y (neg.f64 y)) (exp.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) t) (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(neg.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t)
(/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (neg.f64 t))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)) t)
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t))
(*.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) t) #s(literal 1 binary64))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) (neg.f64 t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(*.f64 y (exp.f64 z))
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)))
(*.f64 (exp.f64 z) y)
(*.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64))
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y)

eval130.0ms (0.6%)

Memory
-0.7MiB live, 125.4MiB allocated
Compiler

Compiled 14 180 to 1 566 computations (89% saved)

prune478.0ms (2.4%)

Memory
11.6MiB live, 122.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New42313436
Fresh000
Picked101
Done000
Total42413437
Accuracy
100.0%
Counts
437 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)
71.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
70.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
75.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
74.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
63.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
67.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
77.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
98.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
83.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
67.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
83.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t)))))
27.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
Compiler

Compiled 470 to 292 computations (37.9% saved)

simplify545.0ms (2.7%)

Memory
3.3MiB live, 359.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (expm1.f64 z))
cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 z)))
cost-diff0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
cost-diff320
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 z)))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Rules
20 846×lower-fma.f32
20 834×lower-fma.f64
4 956×lower-*.f32
4 944×lower-*.f64
2 626×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047454
079462
1150462
2347406
3881406
42984406
55567406
08203383
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
(*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))
z
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
#s(literal 1/2 binary64)
(fma.f64 y (neg.f64 y) y)
(neg.f64 y)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
y
z
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
(neg.f64 t)
t
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y)))
(*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))
(*.f64 z (fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))
z
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)
(fma.f64 z (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 z #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 y (neg.f64 y) y)
(-.f64 y (*.f64 y y))
(neg.f64 y)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
y
z
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
(neg.f64 t)
t

localize406.0ms (2%)

Memory
1.9MiB live, 649.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 y (expm1.f64 z))
accuracy0.24209579733058337
(log1p.f64 (*.f64 y (expm1.f64 z)))
accuracy4.464729988662531
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
accuracy45.75882546195523
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
accuracy0.0078125
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
accuracy4.464729988662531
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
accuracy10.593516188211485
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
accuracy34.25082076711028
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
accuracy4.10716193600977
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
accuracy10.103173108862133
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
accuracy21.29001138347144
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
accuracy0
(*.f64 y z)
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
accuracy21.55804010084951
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
accuracy0.0078125
(*.f64 y (expm1.f64 z))
accuracy0.24209579733058337
(log1p.f64 (*.f64 y (expm1.f64 z)))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
Samples
142.0ms61×2valid
130.0ms159×1valid
12.0ms36×0valid
Compiler

Compiled 359 to 40 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-log: 70.0ms (32.7% of total)
ival-exp: 36.0ms (16.8% of total)
ival-mult: 30.0ms (14% of total)
adjust: 21.0ms (9.8% of total)
ival-expm1: 14.0ms (6.5% of total)
ival-add: 14.0ms (6.5% of total)
ival-div: 11.0ms (5.1% of total)
ival-sub: 6.0ms (2.8% of total)
const: 5.0ms (2.3% of total)
ival-log1p: 4.0ms (1.9% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (0.7%)

Memory
-7.8MiB live, 278.7MiB allocated
Counts
21 → 672
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) #<representation binary64>) () ())
#s(alt (log1p.f64 (*.f64 y (expm1.f64 z))) (patch (log1p.f64 (*.f64 y (expm1.f64 z))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) (patch (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) (patch (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (patch (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #<representation binary64>) () ())
#s(alt (*.f64 y (expm1.f64 z)) (patch (*.f64 y (expm1.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) #<representation binary64>) () ())
#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())
Outputs
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#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z)))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* z (+ 1/2 (* 1/6 z))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (pow y 3) (pow z 2))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y))))) (taylor inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (pow y 3) (pow z 2))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2))))) (taylor -inf y) (#s(alt (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) (patch (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y) #<representation binary64>) () ())) ())
Calls

168 calls:

TimeVariablePointExpression
36.0ms
z
@inf
(log (+ 1 (* y (- (exp z) 1))))
20.0ms
t
@0
(/ (log (+ 1 (* y (- (exp z) 1)))) (neg t))
18.0ms
z
@-inf
(log (+ 1 (* y (- (exp z) 1))))
6.0ms
t
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) (neg t))
5.0ms
y
@-inf
(log (+ (- 1 y) (* y (exp z))))

simplify317.0ms (1.6%)

Memory
33.6MiB live, 379.5MiB allocated
Algorithm
egg-herbie
Rules
11 462×lower-fma.f64
11 462×lower-fma.f32
5 976×lower-*.f64
5 976×lower-*.f32
2 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056911961
1183311384
2595611217
081758822
Stop Event
iter limit
node limit
Counts
672 → 641
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
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(*.f64 z (fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 12 binary64)) (*.f64 (*.f64 y y) #s(literal -7 binary64))))) (*.f64 z #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) y))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
y
(+ y (* 1/2 (* z (+ y (* -1 (pow y 2))))))
(fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y)
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2)))))))
(fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y)
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (+ y (* -1 (pow y 2)))))))
(fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) y)
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 z (*.f64 z #s(literal 1/6 binary64))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (*.f64 y y)) z) (/.f64 y (*.f64 z z)))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) z)) (/ y (pow z 2)))))
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (*.f64 y y)) z) (/.f64 y (*.f64 z z)))))
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 z (*.f64 z #s(literal 1/6 binary64))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (+ y (* -1 (pow y 2))) z))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(*.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) z)) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (+ y (* -1 (pow y 2))))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(*.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 y (*.f64 y y)) (/.f64 (neg.f64 y) z)) z)))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)
(* 1/3 (* (pow y 3) (pow z 2)))
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (fma.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (fma.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal -1/2 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(* 1/3 (* (pow y 3) (pow z 2)))
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(*.f64 (-.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)) y)) (neg.f64 (*.f64 y (*.f64 y y))))

rewrite372.0ms (1.8%)

Memory
-17.1MiB live, 407.2MiB allocated
Rules
5 546×lower-*.f32
5 534×lower-*.f64
4 054×lower-fma.f32
4 042×lower-fma.f64
3 344×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047360
079360
1346360
22986360
08467346
Stop Event
iter limit
node limit
iter limit
Counts
21 → 329
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 y (expm1.f64 z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)))
(fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y)
Outputs
(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)))
(+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t)) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z))))) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 y #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))))
(fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y)
(fma.f64 z (*.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (*.f64 (*.f64 z #s(literal 1/6 binary64)) z) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) z y)
(fma.f64 (*.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 z #s(literal 1/6 binary64)) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (*.f64 z (*.f64 z #s(literal 1/6 binary64))) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(fma.f64 (*.f64 z (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y))) #s(literal 1/6 binary64) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z)))) (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y) (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y))))
(/.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z)))))
(/.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z))) (*.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))))))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y)) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y))) (neg.f64 (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z)))) (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z)))) (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y) (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) (*.f64 z z))))))
(*.f64 (*.f64 (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y)))) y) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 y y))))) y)))

eval159.0ms (0.8%)

Memory
38.4MiB live, 275.8MiB allocated
Compiler

Compiled 28 397 to 1 904 computations (93.3% saved)

prune182.0ms (0.9%)

Memory
-29.5MiB live, 286.0MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 019251 044
Fresh718
Picked235
Done000
Total1 028291 057
Accuracy
100.0%
Counts
1 057 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
77.7%
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
21.0%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
36.2%
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
74.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
72.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
71.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
62.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
85.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
77.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
98.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
76.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t))
78.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
84.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
75.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
77.7%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
67.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
40.5%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))))
27.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
18.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
17.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
17.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
11.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
16.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
14.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
27.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
17.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
Compiler

Compiled 1 065 to 605 computations (43.2% saved)

simplify337.0ms (1.7%)

Memory
39.1MiB live, 538.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
cost-diff0
(*.f64 y (/.f64 (expm1.f64 z) t))
cost-diff0
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))
cost-diff0
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
cost-diff0
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
cost-diff0
(/.f64 y (neg.f64 t))
cost-diff0
(*.f64 z (/.f64 y (neg.f64 t)))
cost-diff0
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
cost-diff0
(*.f64 y (expm1.f64 z))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
Rules
25 244×lower-fma.f32
25 242×lower-fma.f64
4 650×lower-*.f32
4 628×lower-*.f64
2 670×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070598
096598
1194593
2465559
31105559
43029549
56890549
08444494
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))
(*.f64 z (/.f64 y (neg.f64 t)))
z
(/.f64 y (neg.f64 t))
y
(neg.f64 t)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))))
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))
z
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))
(*.f64 y y)
y
(*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))
#s(literal 1/3 binary64)
(*.f64 y (*.f64 z z))
(*.f64 z z)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))
(*.f64 y (/.f64 (expm1.f64 z) t))
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
z
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)
y
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (neg.f64 z)) t)))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (neg.f64 z)) t))
(*.f64 z (/.f64 y (neg.f64 t)))
(/.f64 (*.f64 y (neg.f64 z)) t)
z
(/.f64 y (neg.f64 t))
y
(neg.f64 t)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))))))
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))
(*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))))
z
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))))
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))
(*.f64 y y)
y
(*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64))))
#s(literal 1/3 binary64)
(*.f64 y (*.f64 z z))
(*.f64 z z)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t)))
(neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 y (expm1.f64 z)) t)
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))))
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
z
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)
y
(*.f64 z #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t

localize390.0ms (1.9%)

Memory
-20.5MiB live, 639.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
accuracy0.24209579733058337
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t)
accuracy16.83786424801027
#s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))
accuracy0.00390625
(/.f64 (expm1.f64 z) t)
accuracy3.302860729542596
(*.f64 y (/.f64 (expm1.f64 z) t))
accuracy12.51859367581079
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t))))
accuracy45.75882546195523
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
accuracy4.981395445836919
(*.f64 y (*.f64 z z))
accuracy7.487505337180966
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))
accuracy21.29001138347144
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))))
accuracy48.458273627978095
#s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z)))))
accuracy0
(neg.f64 t)
accuracy3.5465501547194234
(*.f64 z (/.f64 y (neg.f64 t)))
accuracy20.065422072490957
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))
accuracy45.75882546195523
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
accuracy0.0078125
(*.f64 y (expm1.f64 z))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
accuracy12.83506231002494
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
Samples
184.0ms159×1valid
104.0ms61×2valid
16.0ms36×0valid
Compiler

Compiled 341 to 52 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-mult: 64.0ms (25.1% of total)
ival-div: 49.0ms (19.2% of total)
ival-log: 34.0ms (13.4% of total)
ival-expm1: 26.0ms (10.2% of total)
adjust: 23.0ms (9% of total)
ival-exp: 22.0ms (8.6% of total)
ival-add: 13.0ms (5.1% of total)
const: 7.0ms (2.7% of total)
ival-sub: 6.0ms (2.4% of total)
ival-neg: 5.0ms (2% of total)
ival-log1p: 4.0ms (1.6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.4%)

Memory
7.5MiB live, 121.7MiB allocated
Counts
27 → 852
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) #<representation binary64>) () ())
#s(alt (*.f64 y (expm1.f64 z)) (patch (*.f64 y (expm1.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t))))) #<representation binary64>) () ())
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#s(alt (/.f64 y (neg.f64 t)) (patch (/.f64 y (neg.f64 t)) #<representation binary64>) () ())
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#s(alt (*.f64 y (/.f64 (expm1.f64 z) t)) (patch (*.f64 y (/.f64 (expm1.f64 z) t)) #<representation binary64>) () ())
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#s(alt (/.f64 (expm1.f64 z) t) (patch (/.f64 (expm1.f64 z) t) #<representation binary64>) () ())
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Outputs
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#s(alt (* y (* z (+ 1 (* 1/2 z)))) (taylor inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (* z (- (* -1/2 z) 1)))) (taylor -inf y) (#s(alt (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) (patch (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())) ())
Calls

213 calls:

TimeVariablePointExpression
3.0ms
t
@-inf
(neg (* y (/ (- (exp z) 1) t)))
1.0ms
y
@0
(* (* y y) (* 1/3 (* y (* z z))))
1.0ms
z
@0
(* (* y y) (* 1/3 (* y (* z z))))
1.0ms
t
@0
(* z (/ y (neg t)))
1.0ms
t
@inf
(* z (/ y (neg t)))

simplify302.0ms (1.5%)

Memory
-1.3MiB live, 386.5MiB allocated
Algorithm
egg-herbie
Rules
8 982×lower-fma.f64
8 982×lower-fma.f32
5 952×lower-*.f64
5 952×lower-*.f32
3 086×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061813173
1204312612
2679712454
0838410042
Stop Event
iter limit
node limit
Counts
852 → 821
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
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(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
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(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ 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)))))))))))
(log (- (+ 1 (* y (exp z))) y))
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(log (- (+ 1 (* y (exp z))) y))
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(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* y (- (exp z) 1))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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x
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(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
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(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
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(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
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(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
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(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
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(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
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Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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rewrite321.0ms (1.6%)

Memory
17.3MiB live, 383.4MiB allocated
Rules
5 426×lower-*.f32
5 404×lower-*.f64
3 952×lower-fma.f32
3 950×lower-fma.f64
3 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070552
096552
1394547
23190535
08299496
Stop Event
iter limit
node limit
iter limit
Counts
27 → 301
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
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eval251.0ms (1.2%)

Memory
12.0MiB live, 264.8MiB allocated
Compiler

Compiled 20 258 to 1 441 computations (92.9% saved)

prune545.0ms (2.7%)

Memory
-13.2MiB live, 242.1MiB allocated
Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New1 111111 122
Fresh61521
Picked055
Done033
Total1 117341 151
Accuracy
100.0%
Counts
1 151 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
78.3%
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
21.0%
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
74.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
71.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
64.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
62.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
85.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
77.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
98.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
76.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
78.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
84.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
71.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
70.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
73.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
75.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
40.5%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))))
27.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
18.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
17.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
17.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
11.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
16.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
14.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
27.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
14.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
4.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
6.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
17.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
14.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
Compiler

Compiled 1 173 to 670 computations (42.9% saved)

simplify560.0ms (2.8%)

Memory
-0.4MiB live, 496.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
cost-diff0
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
cost-diff0
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
cost-diff0
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
cost-diff0
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
cost-diff0
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
cost-diff0
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
Rules
24 392×lower-fma.f32
24 386×lower-fma.f64
5 322×lower-*.f32
5 314×lower-*.f64
3 280×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068586
091586
1191582
2449578
31128574
43423566
55746566
08539467
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
#s(approx (* y (- (exp z) 1)) (*.f64 y z))
(*.f64 y z)
y
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
y
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))))
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))
y
(fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)
z
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
y
z
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
#s(approx (* y (- (exp z) 1)) (*.f64 y z))
(*.f64 y z)
y
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y)))
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y))
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
y
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))))
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z))))
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))
(*.f64 y (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z))
y
(fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)
(fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z z) z)
z
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t)
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
y
z

localize325.0ms (1.6%)

Memory
0.6MiB live, 604.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6970986627739331
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
accuracy4.423895972947097
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
accuracy10.392657815887564
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
accuracy34.25082076711028
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
accuracy0.0078125
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy4.464729988662531
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy12.62372970577786
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy34.25082076711028
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy2.1432097304989766
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)
accuracy6.586096316299413
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))
accuracy21.04787453777453
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))))
accuracy3.302860729542596
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
accuracy12.279398287293567
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
accuracy16.415916460609008
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy45.52072138075925
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
accuracy0.24209579733058337
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
accuracy4.464729988662531
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
accuracy16.408931539339545
#s(approx (* y (- (exp z) 1)) (*.f64 y z))
Samples
229.0ms215×1valid
19.0ms35×0valid
12.0ms2valid
1.0ms5exit
Compiler

Compiled 326 to 52 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-log: 45.0ms (21.6% of total)
ival-mult: 42.0ms (20.2% of total)
ival-exp: 32.0ms (15.4% of total)
adjust: 22.0ms (10.6% of total)
ival-add: 18.0ms (8.6% of total)
ival-div: 16.0ms (7.7% of total)
ival-expm1: 13.0ms (6.2% of total)
ival-sub: 7.0ms (3.4% of total)
const: 5.0ms (2.4% of total)
ival-neg: 4.0ms (1.9% of total)
ival-log1p: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series250.0ms (1.2%)

Memory
-20.8MiB live, 136.2MiB allocated
Counts
24 → 792
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (patch (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) (patch #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (patch #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) (patch (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (patch (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) (patch (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) (patch #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) #<representation binary64>) () ())
#s(alt #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) (patch #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (patch (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) (patch (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) (patch #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) (patch (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (patch (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* y (- (exp z) 1)) (*.f64 y z)) (patch #s(approx (* y (- (exp z) 1)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (patch #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (/ 1 t) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t)))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
#s(alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) (taylor inf y) (#s(alt (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (patch (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) #<representation binary64>) () ())) ())
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#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* 1/2 (* y z)))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))) (taylor 0 z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* y (pow z 3))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z)))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2))))) (taylor inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* y (pow z 3))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y)))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y)))) (taylor -inf z) (#s(alt (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) (patch (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (exp z) 1))) (taylor 0 y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (exp z) 1)) (taylor inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (exp z) (/ 1 y)) 1)) (taylor inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (exp z))))) (taylor -inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* 1/2 (* y z))))) (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (exp z))) y) (taylor -inf z) (#s(alt #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) (patch #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

198 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/ t (log (+ (- 1 y) (* y (exp z)))))
1.0ms
y
@inf
(/ t (log (+ (- 1 y) (* y (exp z)))))
1.0ms
z
@0
(/ t (log (+ (- 1 y) (* y (exp z)))))
1.0ms
y
@0
(* y (+ (* z (* z (+ (* z 1/6) 1/2))) z))
1.0ms
y
@0
(/ t (log (+ (- 1 y) (* y (exp z)))))

simplify344.0ms (1.7%)

Memory
32.6MiB live, 585.1MiB allocated
Algorithm
egg-herbie
Rules
9 488×lower-fma.f64
9 488×lower-fma.f32
7 140×lower-*.f64
7 140×lower-*.f32
4 134×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075314091
1245213390
0853710704
Stop Event
iter limit
node limit
Counts
792 → 762
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
x
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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x
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(/ t (* y z))
(/ (+ (* -1/2 (/ (* t (* z (+ y (* -1 (pow y 2))))) (pow y 2))) (/ t y)) z)
(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z)
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(- (+ 1 (* y (exp z))) y)
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Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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x
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(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ z (* (pow z 2) (+ 1/2 (* 1/6 z)))))
(*.f64 (*.f64 y z) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y))
(* 1/6 (* y (pow z 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))
(* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z))))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1/6 binary64))))
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2)))))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y #s(literal 1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (*.f64 z z)))))
(* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2)))))
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y #s(literal 1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (*.f64 z z)))))
(* 1/6 (* y (pow z 3)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y))))
(*.f64 (*.f64 z (*.f64 z z)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (*.f64 y #s(literal -1/6 binary64)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y))))
(*.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)) z)) (neg.f64 (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y))))
(*.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z)) z)) (neg.f64 (*.f64 z (*.f64 z z))))
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(+ 1 (* y (- (exp z) 1)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(neg.f64 (neg.f64 (*.f64 y (expm1.f64 z))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (+.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) y) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- (+ 1 (* y (exp z))) y)
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))

rewrite325.0ms (1.6%)

Memory
1.7MiB live, 499.4MiB allocated
Rules
6 086×lower-*.f32
6 078×lower-*.f64
4 604×lower-fma.f32
4 598×lower-fma.f64
3 558×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068536
091536
1438528
23699528
09523468
Stop Event
iter limit
node limit
iter limit
Counts
24 → 248
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))
(log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
(neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))
(*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))))
#s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (* y (- (exp z) 1)) (*.f64 y z))
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
Outputs
(+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t)))
(+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t)) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) x)
(fma.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) (/.f64 #s(literal 1 binary64) t) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))))
(exp.f64 (*.f64 (log.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))))))
(/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) (neg.f64 t))
(/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))))) t)
(/.f64 (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) #s(literal -1 binary64)) t)
(pow.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))
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#s(approx (* y (- (exp z) 1)) (*.f64 y z))
(*.f64 #s(literal 1 binary64) #s(approx (* y (- (exp z) 1)) (*.f64 y z)))
(*.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)) #s(literal 1 binary64))
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(+.f64 (*.f64 y z) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(+.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(fma.f64 y z (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(fma.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 y z))
(fma.f64 y (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(fma.f64 z y (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(fma.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)))
(fma.f64 (*.f64 y z) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y z))
(fma.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 y z) (*.f64 y z))
(fma.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y (*.f64 y z))
(fma.f64 (*.f64 z z) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (*.f64 y z))
(fma.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) z (*.f64 y z))
(fma.f64 (*.f64 y (*.f64 z z)) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y z))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 z (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) y)) (*.f64 y z)))
(/.f64 (*.f64 y (fma.f64 z (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))))) (fma.f64 z (-.f64 z (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))))
(/.f64 (*.f64 y (*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z))))) y) (fma.f64 z (-.f64 z (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z))) y) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 z)))
(*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z))
(*.f64 (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) y)
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))

eval181.0ms (0.9%)

Memory
-15.9MiB live, 233.6MiB allocated
Compiler

Compiled 19 311 to 1 460 computations (92.4% saved)

prune323.0ms (1.6%)

Memory
39.0MiB live, 271.2MiB allocated
Pruning

36 alts after pruning (24 fresh and 12 done)

PrunedKeptTotal
New1 00191 010
Fresh61521
Picked145
Done088
Total1 008361 044
Accuracy
100.0%
Counts
1 044 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
84.0%
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x)
74.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
71.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
62.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
85.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
77.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
98.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
76.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
78.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
84.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
71.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
73.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
62.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
70.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
26.3%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
88.7%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
58.0%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
77.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
27.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
18.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
17.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
17.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
11.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
16.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
14.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
27.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
10.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
14.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
4.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
6.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
17.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
14.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
Compiler

Compiled 1 598 to 645 computations (59.6% saved)

regimes238.0ms (1.2%)

Memory
-43.0MiB live, 290.8MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 y (exp.f64 z) (neg.f64 y))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 (expm1.f64 z) t)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
Calls

9 calls:

51.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
43.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
29.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
20.0ms
z
19.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1t
98.8%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
98.8%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
98.8%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
98.8%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
98.8%1(exp.f64 z)
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes139.0ms (0.7%)

Memory
0.5MiB live, 311.8MiB allocated
Counts
52 → 4
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
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(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
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(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
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(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
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(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
Calls

9 calls:

20.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
18.0ms
y
18.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
15.0ms
t
15.0ms
z
Results
AccuracySegmentsBranch
88.7%1x
92.9%2z
88.7%1t
96.3%4(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
93.1%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.1%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
92.9%2(exp.f64 z)
93.4%3y
94.0%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes38.0ms (0.2%)

Memory
-0.1MiB live, 79.8MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (*.f64 y (*.f64 z #s(literal 1/24 binary64))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 y #s(literal 1/2 binary64))) y))))) t))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y))))
Calls

3 calls:

12.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
11.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
93.1%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.1%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
94.0%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 40 to 30 computations (25% saved)

regimes74.0ms (0.4%)

Memory
-12.1MiB live, 123.2MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) t) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))) t))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t))
Calls

6 calls:

17.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
13.0ms
z
12.0ms
(exp.f64 z)
11.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
10.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
92.6%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
93.1%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
91.7%2(exp.f64 z)
91.9%2z
91.0%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
91.0%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 68 to 51 computations (25% saved)

regimes87.0ms (0.4%)

Memory
21.4MiB live, 134.2MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
Calls

9 calls:

12.0ms
t
11.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
85.2%2x
83.4%1t
85.7%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
85.7%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
83.4%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
83.4%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
85.2%2(exp.f64 z)
85.6%2y
85.2%2z
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes86.0ms (0.4%)

Memory
-2.4MiB live, 115.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))) (neg.f64 (*.f64 t (*.f64 t t))))) (fma.f64 x x (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y (/.f64 (expm1.f64 z) t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y (expm1.f64 z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z))) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
Calls

9 calls:

12.0ms
z
11.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
11.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
9.0ms
y
9.0ms
t
Results
AccuracySegmentsBranch
82.2%3t
81.7%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
79.3%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
82.3%2z
82.3%2(exp.f64 z)
82.8%3x
81.6%3y
81.4%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
81.4%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes58.0ms (0.3%)

Memory
11.4MiB live, 92.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
Calls

7 calls:

11.0ms
t
9.0ms
(exp.f64 z)
8.0ms
z
8.0ms
x
7.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
77.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
77.7%1t
77.7%1x
79.6%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
79.6%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
77.7%1(exp.f64 z)
80.1%2z
Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes33.0ms (0.2%)

Memory
5.4MiB live, 81.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 y (fma.f64 z (*.f64 z #s(literal 1/2 binary64)) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) #s(approx (* y (+ (* z (* z (+ (* z 1/6) 1/2))) z)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 z (*.f64 z z))))))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 z (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) y))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* z (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y)) (*.f64 y (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z #s(approx (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y))) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) y))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 z z))))))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y z)) z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) (/.f64 y t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 z (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y)) t) (/.f64 y t)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z #s(approx (+ (* z (+ (* (+ (* (* y y) (+ (* y 2) -3)) y) (* z 1/6)) (* 1/2 (+ (* y (neg y)) y)))) y) (fma.f64 y (fma.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z (fma.f64 z (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (neg.f64 y) y))) y))) t))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))) (*.f64 t t))) (+.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
Calls

4 calls:

9.0ms
z
8.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
8.0ms
y
6.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
79.6%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
79.6%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
77.7%1y
77.7%1z
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes21.0ms (0.1%)

Memory
6.5MiB live, 44.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
Calls

9 calls:

4.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
2.0ms
y
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
77.3%1x
77.3%1y
77.3%1t
77.3%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
77.3%1z
77.3%1(exp.f64 z)
77.3%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
77.3%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
77.3%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes19.0ms (0.1%)

Memory
-9.2MiB live, 36.3MiB allocated
Accuracy

Total -1.5b remaining (-2.7%)

Threshold costs -1.5b (-2.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 z (/.f64 y (neg.f64 t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 y z)) (neg.f64 t)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
Calls

9 calls:

4.0ms
(exp.f64 z)
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms
t
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
14.6%1x
14.6%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
14.6%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
14.6%1y
14.6%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
14.6%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
14.6%1t
14.6%1(exp.f64 z)
14.6%1z
Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1884320707690736e+274
+inf
0.0ms
1.068993349285027e-77
3809725441480.7837
0.0ms
-9.559012514803513e+282
-2.897809743267272e+257
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999949010854
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch33.0ms (0.2%)

Memory
-28.2MiB live, 49.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-6.844086093787685e+48
-5.231139918121161e+42
Samples
13.0ms47×1valid
9.0ms97×0valid
2.0ms26×0invalid
Compiler

Compiled 281 to 181 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 9.0ms (48.9% of total)
ival-sub: 3.0ms (16.3% of total)
ival-div: 2.0ms (10.9% of total)
ival-add: 1.0ms (5.4% of total)
adjust: 1.0ms (5.4% of total)
ival-exp: 1.0ms (5.4% of total)
ival-mult: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999949010854
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch28.0ms (0.1%)

Memory
36.3MiB live, 36.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-0.03645639351672249
-0.002261262666235975
Samples
11.0ms38×1valid
6.0ms74×0valid
3.0ms33×0invalid
Compiler

Compiled 307 to 201 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 6.0ms (40% of total)
ival-exp: 3.0ms (20% of total)
ival-sub: 2.0ms (13.3% of total)
ival-add: 1.0ms (6.7% of total)
ival-div: 1.0ms (6.7% of total)
adjust: 1.0ms (6.7% of total)
ival-mult: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch93.0ms (0.5%)

Memory
1.7MiB live, 40.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
90.0ms
-6.8257748308701195e+218
-3.915456842613528e+210
Samples
67.0ms90×0valid
15.0ms54×1valid
2.0ms29×0invalid
Compiler

Compiled 407 to 244 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 61.0ms (78.4% of total)
ival-log: 10.0ms (12.8% of total)
ival-sub: 2.0ms (2.6% of total)
ival-add: 1.0ms (1.3% of total)
adjust: 1.0ms (1.3% of total)
ival-exp: 1.0ms (1.3% of total)
ival-mult: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999949010854
Compiler

Compiled 20 to 19 computations (5% saved)

simplify20.0ms (0.1%)

Memory
-24.5MiB live, 27.0MiB allocated
Algorithm
egg-herbie
Rules
142×neg-mul-1_binary64
134×unsub-neg_binary64
72×*-commutative_binary64
70×+-commutative_binary64
68×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117545
1165545
2234545
3280545
4314545
5417545
6577545
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 z #s(literal -5799999999999999610418612908015673034145792 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))))
(if (<=.f64 z #s(literal -5188146770730811/144115188075855872 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)))
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 y (*.f64 t #s(literal 1/2 binary64)) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 z #s(literal -5799999999999999610418612908015673034145792 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log1p.f64 #s(approx (* y (- (exp z) 1)) (*.f64 y z)))) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))))
(if (<=.f64 z #s(literal -5188146770730811/144115188075855872 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* y (- (exp z) 1)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 y #s(literal 1/6 binary64) (*.f64 y (*.f64 z #s(literal 1/24 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)))) t)))
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -4100000000000000007762517423524401548541271331568595994006549796300725374106629547135379280234462655558783896486990702305623201745772896947415321070338713112630829156003672925948401765635084204736644975006056448 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (*.f64 t (-.f64 y (*.f64 y y)))) (*.f64 y y)) (/.f64 t y)) z)))) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 z (/.f64 y (neg.f64 t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (neg.f64 (*.f64 y #s(approx (/ (- (exp z) 1) t) (/.f64 z t))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* y (- (exp z) 1)))) (neg t)) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) (neg.f64 y))))

soundness1.2s (5.8%)

Memory
-2.5MiB live, 712.2MiB allocated
Rules
15 880×lower-fma.f64
15 880×lower-fma.f32
11 462×lower-fma.f64
11 462×lower-fma.f32
9 488×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061813173
1204312612
2679712454
0838410042
075314091
1245213390
0853710704
047360
079360
1346360
22986360
08467346
056911961
1183311384
2595611217
081758822
03352380
110122276
231642227
082111752
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 712 to 361 computations (49.3% saved)

preprocess140.0ms (0.7%)

Memory
-0.1MiB live, 150.3MiB allocated
Compiler

Compiled 734 to 250 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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