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

Time bar (total: 17.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze359.0ms (2%)

Memory
35.7MiB live, 485.0MiB 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)

sample7.4s (42%)

Memory
52.5MiB live, 5 003.4MiB allocated
Samples
3.6s4 525×1valid
1.1s1 342×5exit
439.0ms3 731×0valid
427.0ms635×1invalid
189.0ms390×4exit
171.0ms1 859×0invalid
Precisions
Click to see histograms. Total time spent on operations: 5.3s
ival-log: 2.7s (50.4% of total)
ival-exp: 854.0ms (16.2% of total)
ival-sub: 473.0ms (9% of total)
ival-mult: 407.0ms (7.7% of total)
adjust: 356.0ms (6.8% of total)
ival-add: 279.0ms (5.3% of total)
ival-div: 219.0ms (4.2% of total)
ival-true: 9.0ms (0.2% of total)
exact: 8.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain524.0ms (3%)

Memory
-20.7MiB live, 618.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14947(-6.418131831017934e-283 -6.683375888184673e-170 -5.548622112664639e-232 -1.2981915876199835e+112)1(0.0007977418850300975 -4.659140690313864e-299 -4.3456798796352456e-16 1.1825381974857651e+144)(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
655(-3.884814215574263e-227 -1.7577482493312848e+192 -0.007696954366990325 -1.0904437309987237e+50)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
180-18(-1.312855330101832e-84 -7.486122685973058e-155 -3.7296011963242434e-249 -2.2993173073608245e-197)(/.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))))sensitivity1930
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation380
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue20
(exp.f64 z)overflow2
(*.f64 y (exp.f64 z))overflow2
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow2
Confusion
Predicted +Predicted -
+897
-12634
Precision
0.413953488372093
Recall
0.9270833333333334
Confusion?
Predicted +Predicted MaybePredicted -
+8907
-126034
Precision?
0.413953488372093
Recall?
0.9270833333333334
Freqs
test
numberfreq
041
1197
218
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
149.0ms326×1valid
106.0ms102×2valid
8.0ms84×0valid
Compiler

Compiled 237 to 79 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-log: 127.0ms (58.7% of total)
ival-exp: 45.0ms (20.8% of total)
adjust: 14.0ms (6.5% of total)
ival-sub: 10.0ms (4.6% of total)
ival-div: 8.0ms (3.7% of total)
ival-mult: 6.0ms (2.8% of total)
ival-add: 5.0ms (2.3% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess268.0ms (1.5%)

Memory
6.5MiB live, 74.8MiB allocated
Algorithm
egg-herbie
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 (expm1.f64 z) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify51.0ms (0.3%)

Memory
-3.4MiB live, 45.1MiB 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)))
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 (expm1.f64 z) y)) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
t

localize119.0ms (0.7%)

Memory
-13.2MiB live, 226.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 y (exp.f64 z))
accuracy3.710316661872866
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy15.016751499249711
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy32.799511226880284
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
67.0ms163×1valid
29.0ms51×2valid
7.0ms42×0valid
Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-log: 36.0ms (42% of total)
ival-exp: 16.0ms (18.7% of total)
adjust: 11.0ms (12.8% of total)
ival-div: 10.0ms (11.7% of total)
ival-sub: 5.0ms (5.8% of total)
ival-mult: 3.0ms (3.5% of total)
ival-add: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series159.0ms (0.9%)

Memory
32.1MiB live, 185.4MiB allocated
Counts
5 → 69
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
(* -1 (/ (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)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
1
(+ 1 (* y (- (exp z) 1)))
(* 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))
(+ 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))))
(/ (* 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)))
(* y (exp z))
(* y (- (+ (exp z) (/ 1 y)) 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)))))
(- 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)))))
(/ (+ (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))))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(+ (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))))
(- 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)))
(/ (+ (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)))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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)))))))))))
(+ 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))))
(/ (* 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)))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(- (+ 1 (* y (exp z))) y)
(log (- (+ 1 (* y (exp z))) y))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
55.0ms
z
@inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
22.0ms
z
@-inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
22.0ms
y
@inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
17.0ms
t
@inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
16.0ms
t
@0
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify196.0ms (1.1%)

Memory
-0.8MiB live, 191.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351607
110121507
231661458
082251214
Stop Event
iter limit
node limit
Counts
69 → 67
Calls
Call 1
Inputs
(* -1 (/ (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)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
1
(+ 1 (* y (- (exp z) 1)))
(* 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))
(+ 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))))
(/ (* 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)))
(* y (exp z))
(* y (- (+ (exp z) (/ 1 y)) 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)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
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(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(+ x (* -1 (/ (* y z) t)))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(+ 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))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(* 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 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y)
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

rewrite331.0ms (1.9%)

Memory
-3.8MiB live, 218.3MiB allocated
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 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)) (fma.f64 (exp.f64 z) y (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64))
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t))
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log1p.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))) t))
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64))
(*.f64 (exp.f64 z) y)
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)))
(*.f64 y (exp.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))

eval60.0ms (0.3%)

Memory
7.7MiB live, 79.5MiB allocated
Compiler

Compiled 12 342 to 1 644 computations (86.7% saved)

prune44.0ms (0.3%)

Memory
-37.2MiB live, 47.2MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New33118349
Fresh000
Picked101
Done000
Total33218350
Accuracy
99.6%
Counts
350 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
81.8%
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
63.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
63.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
69.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
35.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
67.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
11.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
51.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
54.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
57.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
80.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
69.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
66.7%
(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
81.8%
(-.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))))
81.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
32.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 818 to 622 computations (24% saved)

simplify136.0ms (0.8%)

Memory
16.8MiB live, 89.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
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
(/.f64 y t)
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (/.f64 y t) x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
cost-diff0
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(fma.f64 (exp.f64 z) y (neg.f64 y))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041302
070304
1116267
2207267
3333267
4550267
5793267
61339267
72351267
82884267
93226267
103575267
113870267
123879267
133882267
143883267
153883267
163883267
03883255
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
(fma.f64 (exp.f64 z) y (neg.f64 y))
(exp.f64 z)
z
y
(neg.f64 y)
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(neg.f64 z)
z
(/.f64 y t)
y
t
x
(-.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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(fma.f64 (exp.f64 z) y (neg.f64 y))
(*.f64 (expm1.f64 z) y)
(exp.f64 z)
z
y
(neg.f64 y)
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 y t) (neg.f64 z) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(fma.f64 (/.f64 y t) (neg.f64 z) x)
(neg.f64 z)
z
(/.f64 y t)
y
t
x
(-.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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t

localize256.0ms (1.5%)

Memory
21.0MiB live, 423.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
accuracy3.710316661872866
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
accuracy32.799511226880284
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
accuracy47.094552902405965
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
accuracy0.02734375
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy3.710316661872866
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
accuracy16.41128462787049
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
accuracy32.799511226880284
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) 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))
accuracy3.710316661872866
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy15.68532836395012
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy32.799511226880284
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy0
(/.f64 y t)
accuracy0
(neg.f64 z)
accuracy3.331145748320284
(fma.f64 (neg.f64 z) (/.f64 y t) x)
accuracy17.765160997904566
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
accuracy0
(exp.f64 z)
accuracy0.4918849333909695
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
accuracy1.030670443622821
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
accuracy27.274131619468825
(fma.f64 (exp.f64 z) y (neg.f64 y))
Samples
137.0ms163×1valid
77.0ms51×2valid
10.0ms42×0valid
Compiler

Compiled 546 to 76 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-exp: 41.0ms (22.5% of total)
ival-mult: 37.0ms (20.3% of total)
ival-log: 31.0ms (17% of total)
adjust: 25.0ms (13.7% of total)
ival-log1p: 15.0ms (8.2% of total)
ival-add: 11.0ms (6% of total)
ival-div: 10.0ms (5.5% of total)
ival-sub: 5.0ms (2.7% of total)
ival-expm1: 4.0ms (2.2% of total)
ival-neg: 2.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (0.7%)

Memory
-28.7MiB live, 170.3MiB allocated
Counts
22 → 106
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(fma.f64 (exp.f64 z) y (neg.f64 y))
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(neg.f64 z)
(/.f64 y t)
(-.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 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
(exp.f64 z)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(* 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))
(+ 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))))
(/ 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)))
1
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+ (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)))))
(- 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)))))
(* y (+ (* -1 (/ z t)) (/ x y)))
(/ (+ (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))))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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 (* y (+ 1 (* -1 (exp z)))))
(+ (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))))
(- 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)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(/ (+ (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)))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(* y z)
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* 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)))))))))))
(+ 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))))
(* -1 z)
(/ (* 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)))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(- (* y (exp z)) y)
(log (- (+ 1 (* y (exp z))) y))
(* z (+ (* -1 (/ y t)) (/ x z)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(- (+ 1 (* y (exp z))) y)
(exp z)
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ -1 t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
Calls

12 calls:

TimeVariablePointExpression
26.0ms
y
@-inf
((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
23.0ms
t
@0
((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
12.0ms
t
@-inf
((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
11.0ms
x
@inf
((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
10.0ms
z
@-inf
((+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (+ (* (exp z) y) (neg y)) (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg z) (/ y t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (exp z) (+ (* (+ (* (* z y) 1/2) y) z) 1))

simplify234.0ms (1.3%)

Memory
34.1MiB live, 220.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04532251
114082103
243422080
090011747
Stop Event
iter limit
node limit
Counts
106 → 105
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(* 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))
(+ 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))))
(/ 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)))
1
(+ 1 (* y (- (exp z) 1)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+ (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)))))
(- 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)))))
(* y (+ (* -1 (/ z t)) (/ x y)))
(/ (+ (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)))
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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))))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))))
(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -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 (* y (+ 1 (* -1 (exp z)))))
(+ (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))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(- (+ 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)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(/ (+ (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)))))))
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(* y z)
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(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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))))))))
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(* -1 z)
(/ (* 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)))
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(+ 1 z)
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(- (* y (exp z)) y)
(log (- (+ 1 (* y (exp z))) y))
(* z (+ (* -1 (/ y t)) (/ x z)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(- (+ 1 (* y (exp z))) y)
(exp z)
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ -1 t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 (/ (* y z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(+ x (* -1 (/ (* y z) t)))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(fma.f64 (/.f64 x x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(-.f64 x (/.f64 (*.f64 (expm1.f64 z) y) t))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(+ 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))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(/ y t)
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(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) t)) y)
(* 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)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) t) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) t)) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
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(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
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(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (* y (exp z)) y)
(*.f64 (expm1.f64 z) y)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(* z (+ (* -1 (/ y t)) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 y (/.f64 #s(literal 1 binary64) z)) z)) z) z)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (+ (* -1 (* y z)) (* t x)) t)
(fma.f64 (neg.f64 y) (/.f64 z t) x)

rewrite229.0ms (1.3%)

Memory
5.2MiB live, 202.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041263
070263
1291228
22412228
08584216
Stop Event
iter limit
node limit
iter limit
Counts
22 → 319
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(fma.f64 (exp.f64 z) y (neg.f64 y))
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(neg.f64 z)
(/.f64 y t)
(-.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 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))
#s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))
(exp.f64 z)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(*.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y)) (pow.f64 (fma.f64 y (exp.f64 z) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 z) y)
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(pow.f64 (/.f64 (fma.f64 y (exp.f64 z) y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64)) (fma.f64 y (exp.f64 z) y)) (*.f64 (fma.f64 y (exp.f64 z) y) (*.f64 y y))) (pow.f64 (fma.f64 y (exp.f64 z) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y))) (fma.f64 y (exp.f64 z) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64))) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (*.f64 y (exp.f64 z)) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y))) (neg.f64 (fma.f64 y (exp.f64 z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y)) (fma.f64 y (exp.f64 z) y))
(/.f64 (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (exp.f64 z)) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y (exp.f64 z))) (pow.f64 (*.f64 y (exp.f64 z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (exp.f64 z) y) (*.f64 (*.f64 (expm1.f64 z) y) (fma.f64 y (exp.f64 z) y))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64))
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z))

eval108.0ms (0.6%)

Memory
-6.7MiB live, 127.8MiB allocated
Compiler

Compiled 13 279 to 1 540 computations (88.4% saved)

prune90.0ms (0.5%)

Memory
-9.1MiB live, 73.8MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New39019409
Fresh31013
Picked235
Done000
Total39532427
Accuracy
99.7%
Counts
427 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.3%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) x)
63.3%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
97.7%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
71.0%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
72.8%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
79.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
34.5%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x))
19.6%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x))
81.8%
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
63.2%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
69.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
35.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
24.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
11.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
67.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
11.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
51.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
54.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
57.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
80.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
35.8%
(-.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64))))
81.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
71.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
69.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
51.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
71.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
32.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
67.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
Compiler

Compiled 1 598 to 1 165 computations (27.1% saved)

simplify227.0ms (1.3%)

Memory
-14.7MiB live, 176.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
cost-diff0
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
cost-diff0
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
cost-diff128
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
(/.f64 (*.f64 (neg.f64 y) z) t)
cost-diff0
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051409
085409
1165407
2389386
3933385
42387385
56412385
08412366
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 y (*.f64 y y))
#s(literal 1/2 binary64)
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(neg.f64 y)
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(neg.f64 t)
t
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (expm1.f64 z) y)
(*.f64 y (expm1.f64 z))
(expm1.f64 z)
z
y
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (/.f64 (neg.f64 z) t) y)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y) z)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y)
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) z y)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/6 binary64) z)
#s(literal 1/6 binary64)
z
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y)
(*.f64 y y)
y
(fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(-.f64 y (*.f64 y y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
#s(literal 1/2 binary64)
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
(-.f64 x (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(neg.f64 y)
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 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 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (expm1.f64 z) y)
(*.f64 y (expm1.f64 z))
(expm1.f64 z)
z
y
(neg.f64 t)
t

localize665.0ms (3.8%)

Memory
31.9MiB live, 420.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (expm1.f64 z) y)
accuracy0.4918849333909695
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy3.710316661872866
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
accuracy41.9396196755252
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
accuracy0.4918849333909695
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
accuracy1.030670443622821
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
accuracy20.85855115089257
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
accuracy27.274131619468825
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
accuracy3.6510202768245725
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y)
accuracy3.710316661872866
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
accuracy10.4289359304397
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
accuracy27.20459499934501
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
accuracy0
(neg.f64 y)
accuracy4.927054082963102
(/.f64 (*.f64 (neg.f64 y) z) t)
accuracy17.765160997904566
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
accuracy37.67164262707464
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
accuracy0
(expm1.f64 z)
accuracy0.00390625
(*.f64 (expm1.f64 z) y)
accuracy0.4918849333909695
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy1.030670443622821
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
Samples
358.0ms163×1valid
172.0ms51×2valid
19.0ms42×0valid
Compiler

Compiled 741 to 105 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 504.0ms
ival-exp: 142.0ms (28.2% of total)
ival-mult: 88.0ms (17.5% of total)
ival-log: 81.0ms (16.1% of total)
adjust: 76.0ms (15.1% of total)
ival-expm1: 33.0ms (6.5% of total)
ival-log1p: 32.0ms (6.3% of total)
ival-add: 18.0ms (3.6% of total)
ival-div: 14.0ms (2.8% of total)
ival-sub: 11.0ms (2.2% of total)
const: 5.0ms (1% of total)
ival-neg: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series253.0ms (1.4%)

Memory
-7.4MiB live, 194.6MiB allocated
Counts
22 → 156
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (neg.f64 y) z)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(expm1.f64 z)
(neg.f64 y)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y)
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
Outputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(* 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))
(+ 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))))
(* -1 (* y z))
(* y (+ 1/2 (* 1/6 z)))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2)))))
(* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2)))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(/ (* 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)))
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* 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))))))))
(* -1 y)
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(+ (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)))))
(- 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)))))
(* y (+ (* -1 (/ z t)) (/ x y)))
(* 1/3 (* (pow y 3) z))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(/ (+ (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))))))
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(* 1/3 (* (pow y 3) (pow z 2)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) 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)))))
(+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))))
(+ x (+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y))))
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))
(- 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)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))
(/ (+ (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)))
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(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))))
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(+ (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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(* -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)))))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(* 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)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
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(* 1/2 (- y (pow y 2)))
(+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(/ (* 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)))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
y
(+ y (* 1/2 (* z (- y (pow y 2)))))
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(log (+ 1 (* y (- (exp z) 1))))
(* z (+ (* -1 (/ y t)) (/ x z)))
(* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (* y (exp z)) y)
(- (exp z) 1)
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) z)) (/ y (pow z 2)))))
(exp z)
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* -1 (* z (+ (* -1/2 (/ (- y (pow y 2)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
Calls

12 calls:

TimeVariablePointExpression
58.0ms
z
@-inf
((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z))
36.0ms
t
@inf
((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z))
33.0ms
t
@-inf
((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z))
30.0ms
x
@0
((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z))
28.0ms
y
@0
((+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (/ (* (neg y) z) t) (* (neg y) z) (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (* (/ -1 t) (log (+ 1 (+ (* (exp z) y) (neg y))))) x) (log (+ 1 (+ (* (exp z) y) (neg y)))) (+ (* (exp z) y) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (- (exp z) 1) (neg y) (log (+ (- 1 y) (* y (exp z)))) (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (exp z))

simplify502.0ms (2.9%)

Memory
-30.9MiB live, 173.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06453561
120703334
265683308
081592795
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
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(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
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(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
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(* 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))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
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(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
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(* 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)))
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(* -1 y)
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(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
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(* y (+ (* -1 (/ z t)) (/ x y)))
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(* -1/2 (pow y 2))
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
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(- (+ 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)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))
(/ (+ (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)))
(+ x (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)))
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(+ x (+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))))
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(- (+ (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))))
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(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(* -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)))))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) 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))))))))
(* 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)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
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(+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(/ (* 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)))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
y
(+ y (* 1/2 (* z (- y (pow y 2)))))
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(log (+ 1 (* y (- (exp z) 1))))
(* z (+ (* -1 (/ y t)) (/ x z)))
(* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (* y (exp z)) y)
(- (exp z) 1)
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) z)) (/ y (pow z 2)))))
(exp z)
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* -1 (* z (+ (* -1/2 (/ (- y (pow y 2)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
Outputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
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(* -1 (/ (* y z) t))
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(+ x (* -1 (/ (* y z) t)))
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
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(* 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))
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(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ 1/2 (* 1/6 z)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)
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(*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)
(* 1/2 y)
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(* y (+ 1/2 (* -1/2 y)))
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(/ (* y (- (exp z) 1)) t)
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(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) y (/.f64 (expm1.f64 z) t)) y)
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(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) t) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t))) y (/.f64 (expm1.f64 z) t)) y)
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(* -1 (/ (* y (- (exp z) 1)) t))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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 y)
(neg.f64 y)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
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(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) z) y (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)
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(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
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(-.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))
(- (+ x (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (/ 1 (* t (* y (- (exp z) 1)))))
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(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) t)) y))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))
(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t))) y)) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 #s(literal -1/3 binary64) z) z))) (pow.f64 y #s(literal 3 binary64)))
(* -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 (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) z) z (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) z (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (neg.f64 y))) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t)) z (/.f64 (neg.f64 y) t)) z x)
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal -1/6 binary64)) z (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t))) z (/.f64 (neg.f64 y) t)) z x)
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z y) z)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t)) z (/.f64 (neg.f64 y) t)) z x)
(+ 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))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal -1/6 binary64)) z (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t))) z (/.f64 (neg.f64 y) t)) z x)
(* 1/2 (- y (pow y 2)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
(/ (* y z) t)
(*.f64 (/.f64 z t) y)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t)) z)
(* 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 (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal 1/6 binary64)) z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) z) t) #s(literal 1/24 binary64))) z (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z)
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t)) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal -1/6 binary64)) z (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t))) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) z) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) t) #s(literal -1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) t))) z (/.f64 (neg.f64 y) t)) z)
z
(* z (+ 1 (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
y
(+ y (* 1/2 (* z (- y (pow y 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (- y (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(* z (+ (* -1 (/ y t)) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) (/.f64 y t)) z)
(* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z)
(* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(- (* y (exp z)) y)
(*.f64 (expm1.f64 z) y)
(- (exp z) 1)
(expm1.f64 z)
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (- y (pow y 2)) z))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) z) z)
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (- y (pow y 2)) z)) (/ y (pow z 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) z) #s(literal 1/2 binary64) (/.f64 y (*.f64 z z)))) z) z)
(exp z)
(exp.f64 z)
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 y t) (/.f64 x z)))
(* -1 (* z (+ (* -1/2 (/ (- y (pow y 2)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal -1/6 binary64))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 z))) z) z)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/.f64 (fma.f64 (neg.f64 z) y (*.f64 x t)) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)

rewrite203.0ms (1.2%)

Memory
9.2MiB live, 272.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051314
085314
1381311
23318311
08883306
Stop Event
iter limit
node limit
iter limit
Counts
22 → 373
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t))
(/.f64 (*.f64 (neg.f64 y) z) t)
(*.f64 (neg.f64 y) z)
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(expm1.f64 z)
(neg.f64 y)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y)
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)))
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(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z))
(fma.f64 z (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) y)
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z (neg.f64 y))))
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z) y)
(+.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) (*.f64 y y) y) #s(literal 1/6 binary64)) z (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) z))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))

eval119.0ms (0.7%)

Memory
-16.8MiB live, 187.3MiB allocated
Compiler

Compiled 26 248 to 2 732 computations (89.6% saved)

prune54.0ms (0.3%)

Memory
-14.8MiB live, 146.9MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New58725612
Fresh141024
Picked235
Done033
Total60341644
Accuracy
99.7%
Counts
644 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
97.7%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
72.8%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
79.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
34.5%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x))
19.6%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x))
69.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
35.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
67.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
51.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
54.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
57.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
56.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
80.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
63.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
71.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
63.3%
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
51.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
25.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) (neg.f64 t)))
32.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
19.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
18.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
4.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (neg.f64 t)))
10.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
32.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64))))
32.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
88.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
20.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
67.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
10.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
12.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
13.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
14.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
12.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
Compiler

Compiled 2 373 to 1 696 computations (28.5% saved)

simplify223.0ms (1.3%)

Memory
4.4MiB live, 242.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)
cost-diff0
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
cost-diff0
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
cost-diff1024
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)
cost-diff0
(/.f64 y t)
cost-diff0
(*.f64 (/.f64 y t) (neg.f64 z))
cost-diff0
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
cost-diff128
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))
cost-diff640
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056359
086359
1160353
2352326
31155312
44571312
55636312
66257312
76766312
87135312
97217312
08670312
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
x
t
(neg.f64 x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 y t)
y
t
(neg.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)
(neg.f64 x)
x
(*.f64 (/.f64 y x) (/.f64 z t))
(/.f64 y x)
y
(/.f64 z t)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(neg.f64 y)
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
x
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 x t)
(*.f64 t x)
x
t
(neg.f64 x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y))
(*.f64 (/.f64 y t) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 z) t) y)
(/.f64 y t)
y
t
(neg.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 (neg.f64 z) t) y x)))
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 (neg.f64 z) t) y x))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)
(fma.f64 (/.f64 (neg.f64 z) t) y x)
(neg.f64 x)
x
(*.f64 (/.f64 y x) (/.f64 z t))
(*.f64 (/.f64 z x) (/.f64 y t))
(/.f64 y x)
y
(/.f64 z t)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z)))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(*.f64 (/.f64 (neg.f64 y) t) (expm1.f64 z))
(neg.f64 y)
y
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
x

localize234.0ms (1.3%)

Memory
20.8MiB live, 374.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
accuracy0.4918849333909695
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
accuracy1.030670443622821
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
accuracy21.083960299913834
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
accuracy0.0078125
(/.f64 (expm1.f64 z) t)
accuracy2.4086793613370676
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
accuracy15.578513140385029
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
accuracy41.9396196755252
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
accuracy0
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))
accuracy5.939327163003209
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)
accuracy9.924534279198978
(*.f64 (/.f64 y x) (/.f64 z t))
accuracy17.765160997904566
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
accuracy0
(neg.f64 z)
accuracy4.467576144722509
(*.f64 (/.f64 y t) (neg.f64 z))
accuracy17.765160997904566
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
accuracy37.67164262707464
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
accuracy0.00390625
(*.f64 (expm1.f64 z) y)
accuracy0.4918849333909695
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy2.916286778920905
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))
accuracy6.126774544278139
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t))
Samples
128.0ms128×1valid
40.0ms128×0valid
Compiler

Compiled 660 to 103 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-div: 24.0ms (18.6% of total)
ival-mult: 22.0ms (17.1% of total)
adjust: 20.0ms (15.5% of total)
ival-log: 19.0ms (14.8% of total)
ival-exp: 15.0ms (11.6% of total)
ival-add: 10.0ms (7.8% of total)
ival-neg: 5.0ms (3.9% of total)
ival-sub: 4.0ms (3.1% of total)
ival-expm1: 4.0ms (3.1% of total)
ival-log1p: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series219.0ms (1.2%)

Memory
26.4MiB live, 178.7MiB allocated
Counts
27 → 145
Calls
Call 1
Inputs
(fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z)))
(*.f64 (/.f64 y t) (neg.f64 z))
(/.f64 y t)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x))
(neg.f64 x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t)))
(*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))
(neg.f64 y)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(neg.f64 z)
(*.f64 (/.f64 y x) (/.f64 z t))
(/.f64 (expm1.f64 z) t)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
Outputs
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(+ (* -1 x) (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
(* -1 x)
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(/ (* y z) (* t x))
(* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(- (* y (- (/ (exp z) t) (/ 1 t))) x)
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) x)
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) 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))))
(/ (* y (- (exp z) 1)) (* t x))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(/ y t)
(* -1 (/ (* y (- (exp z) 1)) t))
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(* -1 z)
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(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(- (/ (log (+ 1 (* y (- (exp z) 1)))) t) x)
(* z (+ (* -1 (/ y t)) (/ x z)))
(log (+ 1 (* y (- (exp z) 1))))
(/ (- (exp z) 1) t)
(- (exp z) 1)
(* 1/2 (pow z 2))
(* (pow z 2) (+ 1/2 (/ 1 z)))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(/ (+ (log (+ 1 (* y (- (exp z) 1)))) (* -1 (* t x))) t)
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
53.0ms
x
@-inf
((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z))
43.0ms
z
@-inf
((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z))
31.0ms
t
@inf
((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z))
19.0ms
z
@inf
((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z))
13.0ms
t
@-inf
((+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x)) (neg (+ (* (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) x) (neg x))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (* x t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (* (/ y t) (neg z)) (/ y t) (+ (* (neg x) (* (/ y x) (/ z t))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg z) (/ y t)) x) (neg x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg y) (/ (- (exp z) 1) t)) (neg y) (+ (* (/ -1 t) (log (+ 1 (* (- (exp z) 1) y)))) x) (/ -1 t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (* (/ y x) (/ z t)) (/ (- (exp z) 1) t) (- (exp z) 1) (* (+ (* 1/2 z) 1) z))

simplify229.0ms (1.3%)

Memory
-6.6MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06333573
120503382
264723287
081362778
Stop Event
iter limit
node limit
Counts
145 → 143
Calls
Call 1
Inputs
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(+ (* -1 x) (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
(* -1 x)
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(/ (* y z) (* t x))
(* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(- (* y (- (/ (exp z) t) (/ 1 t))) x)
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))) x)
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))) 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))))
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(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(/ y t)
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(/ (log (+ 1 (* y (- (exp z) 1)))) t)
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rewrite219.0ms (1.2%)

Memory
-32.0MiB live, 165.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056319
086319
1321313
22532313
08376309
Stop Event
iter limit
node limit
iter limit
Counts
27 → 566
Calls
Call 1
Inputs
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(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y))
(*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(neg.f64 z)
(*.f64 (/.f64 y x) (/.f64 z t))
(/.f64 (expm1.f64 z) t)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))) (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x)) (*.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (*.f64 x x))) (*.f64 (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x) (fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)) x)))
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (+.f64 #s(literal 0 binary64) x) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 t (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 t (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 t (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (neg.f64 t) x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 t) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 t x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (*.f64 t x) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 t x) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 t x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 x (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 x (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (*.f64 (+.f64 #s(literal 0 binary64) x) x))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x))) (*.f64 (+.f64 #s(literal 0 binary64) x) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))) (*.f64 (+.f64 #s(literal 0 binary64) x) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x))) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 t) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))) (*.f64 (+.f64 #s(literal 0 binary64) x) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 t) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 t) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 t x) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 t x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t x) (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (+.f64 #s(literal 0 binary64) x) x)) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) x))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) t (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) t (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 t) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) t (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) t))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 t) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 t) x) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 t) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 t z)))
(/.f64 y (*.f64 (/.f64 t z) x))
(/.f64 y (*.f64 x (/.f64 t z)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 x y)) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 t z)) (/.f64 (/.f64 (neg.f64 y) x) (/.f64 t z)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 (/.f64 z t) y) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (expm1.f64 z))
(*.f64 (neg.f64 (expm1.f64 z)) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 z) t))
(*.f64 (expm1.f64 z) (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (expm1.f64 z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t t)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (-.f64 (*.f64 (exp.f64 z) (neg.f64 t)) (neg.f64 t)) (*.f64 t (neg.f64 t)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 t (exp.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (neg.f64 t)))
(/.f64 (-.f64 t (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) t))
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) t (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (neg.f64 t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 t t))
(/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t))
(/.f64 (fma.f64 (exp.f64 z) (neg.f64 t) (*.f64 t #s(literal 1 binary64))) (*.f64 t (neg.f64 t)))
(/.f64 (+.f64 t (*.f64 (/.f64 t (exp.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) t))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (/.f64 t (exp.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 t (exp.f64 z)) (neg.f64 t)))
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64)) t)
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (pow.f64 t #s(literal -1 binary64))) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal -1 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) t)
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (*.f64 t (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) t)
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t))
(/.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (expm1.f64 z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (expm1.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (expm1.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 z)))
(/.f64 (expm1.f64 z) t)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) t))
(fma.f64 (exp.f64 z) (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))) (/.f64 (pow.f64 t #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))) (/.f64 (pow.f64 t #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 z) t) (*.f64 t t)) (/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 t t)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 t (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (/.f64 (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) t))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) t) (/.f64 (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)) t))
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (neg.f64 (expm1.f64 z)) t))
(-.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (expm1.f64 z))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 z) t) (/.f64 #s(literal -1 binary64) t))
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) z)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))

eval112.0ms (0.6%)

Memory
11.4MiB live, 211.2MiB allocated
Compiler

Compiled 29 128 to 3 325 computations (88.6% saved)

prune73.0ms (0.4%)

Memory
-9.7MiB live, 159.2MiB allocated
Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New68720707
Fresh92130
Picked235
Done066
Total69850748
Accuracy
99.7%
Counts
748 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
97.7%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
72.8%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
79.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
69.8%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
35.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
67.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
51.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
54.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
57.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
56.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
80.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
63.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
71.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
63.3%
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
88.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x))
51.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
70.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
32.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
19.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
18.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
10.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
19.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
89.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))))
32.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
83.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 x t) (neg.f64 x))))
88.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) x (neg.f64 x))))
93.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x (neg.f64 x))))
32.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x)))))
6.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
20.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
14.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
11.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
67.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
63.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
67.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
68.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
66.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
67.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
10.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
12.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
8.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
12.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
12.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
12.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
Compiler

Compiled 4 095 to 1 648 computations (59.8% saved)

regimes329.0ms (1.9%)

Memory
-2.4MiB live, 271.2MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) 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)))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(-.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 (exp.f64 z) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 x (*.f64 t x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 x t)) x (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 x t) (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z))))) x (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))) x (neg.f64 x))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (+.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64))))
(-.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 x (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y)))) #s(literal -2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))) (neg.f64 t)))
(-.f64 x (*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 (log1p.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (*.f64 (expm1.f64 z) y)))) x)
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
Calls

9 calls:

58.0ms
z
52.0ms
y
49.0ms
t
45.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
30.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1t
97.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
97.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
97.7%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
97.7%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
97.7%1(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes262.0ms (1.5%)

Memory
24.7MiB live, 300.5MiB allocated
Counts
62 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) 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)))))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
Calls

9 calls:

119.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
20.0ms
x
20.0ms
y
20.0ms
z
18.0ms
t
Results
AccuracySegmentsBranch
81.7%1x
93.6%3y
90.4%2z
84.1%2t
89.2%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
97.9%5(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
98.7%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
98.7%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
90.4%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes76.0ms (0.4%)

Memory
6.5MiB live, 137.8MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Calls

4 calls:

24.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
17.0ms
y
17.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
14.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
90.5%3y
94.9%5(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
93.0%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.0%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes138.0ms (0.8%)

Memory
-35.3MiB live, 124.0MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x)
Calls

4 calls:

89.0ms
(exp.f64 z)
16.0ms
z
15.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
13.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
90.4%2z
90.4%2(exp.f64 z)
90.9%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
90.9%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 20 to 28 computations (-40% saved)

regimes39.0ms (0.2%)

Memory
11.9MiB live, 49.6MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x)
Calls

2 calls:

23.0ms
z
13.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
90.2%2z
90.2%2(exp.f64 z)
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes47.0ms (0.3%)

Memory
16.2MiB live, 52.3MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
(+.f64 (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (-.f64 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (fma.f64 (exp.f64 z) t (neg.f64 t)) (*.f64 t t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x)
Calls

3 calls:

20.0ms
z
12.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
12.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
90.6%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
90.0%2z
90.0%2(exp.f64 z)
Compiler

Compiled 14 to 20 computations (-42.9% saved)

regimes152.0ms (0.9%)

Memory
-5.0MiB live, 105.2MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

7 calls:

72.0ms
z
18.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
17.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
12.0ms
y
10.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
83.8%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
87.4%3y
83.9%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
83.8%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
83.8%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
84.3%2z
81.7%1(exp.f64 z)
Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes119.0ms (0.7%)

Memory
16.7MiB live, 100.4MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
Calls

7 calls:

44.0ms
t
18.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
12.0ms
y
12.0ms
z
10.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
83.8%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
83.8%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
81.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
81.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
83.4%2t
81.7%1z
81.7%1y
Compiler

Compiled 44 to 54 computations (-22.7% saved)

regimes134.0ms (0.8%)

Memory
5.9MiB live, 208.8MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
Calls

9 calls:

30.0ms
y
16.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
16.0ms
t
15.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
75.8%3x
71.1%1y
76.6%2z
71.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
71.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
76.6%2(exp.f64 z)
74.4%2t
74.0%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
74.0%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes150.0ms (0.9%)

Memory
-8.2MiB live, 188.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (neg.f64 z) (/.f64 t y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 y) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 y (/.f64 z (*.f64 t x))) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 y z) (*.f64 t x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 t y)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z t) #s(literal 1 binary64)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (*.f64 (/.f64 y x) (/.f64 z t)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (/.f64 y x) z) t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 y x) (*.f64 (/.f64 z t) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (/.f64 z t) (*.f64 (/.f64 y x) (neg.f64 x)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (* (- (exp z) 1) y))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) (neg.f64 t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) z) y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y)) z) t)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) #s(approx (* (neg y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y t) (/.f64 (neg.f64 y) t)) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (fma.f64 (neg.f64 x) (/.f64 (/.f64 z t) (/.f64 x y)) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 t) y)) (*.f64 t t)) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 #s(approx (+ (* (* 1/6 z) (+ (* (* y y) (+ (* 2 y) -3)) y)) (* (- y (* y y)) 1/2)) (*.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal 1/3 binary64) y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) y)) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(approx (* (- y (* y y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 z t) (/.f64 #s(literal 1/6 binary64) t)) z (/.f64 #s(literal 1/2 binary64) t)) z (/.f64 #s(literal 1 binary64) t)) z)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (*.f64 (neg.f64 z) y) (pow.f64 t #s(literal -1 binary64)) x))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
Calls

8 calls:

52.0ms
x
19.0ms
z
18.0ms
(exp.f64 z)
15.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms
y
Results
AccuracySegmentsBranch
71.1%1y
71.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
71.1%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
71.1%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
71.1%1x
71.1%1t
71.1%1(exp.f64 z)
71.1%1z
Compiler

Compiled 34 to 51 computations (-50% saved)

regimes22.0ms (0.1%)

Memory
-2.6MiB live, 36.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
Calls

9 calls:

3.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
2.0ms
z
2.0ms
y
2.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
70.1%1z
70.1%1t
70.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
70.1%1x
70.1%1y
70.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
70.1%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
70.1%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
70.1%1(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes40.0ms (0.2%)

Memory
-14.2MiB live, 28.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (/.f64 (*.f64 (neg.f64 y) z) t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) #s(approx (/ (- (exp z) 1) t) (/.f64 z t)))))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
Calls

9 calls:

23.0ms
y
2.0ms
t
2.0ms
x
2.0ms
z
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
14.3%1x
14.3%1z
14.3%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
14.3%1(exp.f64 z)
14.3%1y
14.3%1t
14.3%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
14.3%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
14.3%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes12.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

9 calls:

1.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms
t
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
12.6%1y
12.6%1(exp.f64 z)
12.6%1z
12.6%1t
12.6%1x
12.6%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
12.6%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
12.6%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
12.6%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch3.0ms (0%)

Memory
-36.8MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
120834384213.36903
0.0ms
0.0
0.9966665277068406
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.489568050165241e+68
1.8971375900641885e+81
0.0ms
0.0
0.9966665277068406
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9860002597205016
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9860002597205016
0.9923325913337068
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9860002597205016
0.9923325913337068
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch75.0ms (0.4%)

Memory
39.3MiB live, 114.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
4.108928478221631e+88
8.504358855546589e+97
0.0ms
-2.3122536291377113e+87
-2.2496020882097216e+87
Samples
51.0ms138×1valid
7.0ms102×0invalid
3.0ms12×1invalid
1.0ms0valid
Compiler

Compiled 358 to 316 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-exp: 18.0ms (36.6% of total)
ival-log: 14.0ms (28.4% of total)
ival-sub: 6.0ms (12.2% of total)
adjust: 4.0ms (8.1% of total)
ival-div: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
-41.6MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8971375900641885e+81
6.872432396407685e+82
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-2.9722234803055726e-5
-2.9495664558952242e-5
Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify29.0ms (0.2%)

Memory
16.8MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117554
1156554
2208554
3248554
4271554
5278554
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) x))
(if (<=.f64 (exp.f64 z) #s(literal 4458563631096791/4503599627370496 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x))
(if (<=.f64 y #s(literal -2300000000000000171685525966363483719926216117629215685362984253898262741028125372579840 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 359999999999999977636021641023194887453222514133064376372483593830897047698197645343370030088192 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1999999999999999842563759791331565483871006498118367703619996448246128296859795456 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -2176715800697727/73786976294838206464 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 z t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 z) (/.f64 y t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 z t) (neg.f64 y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (expm1.f64 z))) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 #s(approx (+ (* (exp z) y) (neg y)) (*.f64 y z))) x) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (neg z) (/ y t)) x) (*.f64 (/.f64 (neg.f64 y) t) z)))

soundness1.5s (8.5%)

Memory
11.5MiB live, 800.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351607
110121507
231661458
082251214
04532251
114082103
243422080
090011747
041263
070263
1291228
22412228
08584216
01245
01945
17345
259345
3720445
0898438
051314
085314
1381311
23318311
08883306
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 918 to 465 computations (49.3% saved)

preprocess444.0ms (2.5%)

Memory
5.1MiB live, 121.9MiB allocated
Compiler

Compiled 1 216 to 314 computations (74.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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