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

Time bar (total: 16.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze344.0ms (2.1%)

Memory
22.9MiB live, 441.2MiB 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)

sample7.2s (44.8%)

Memory
40.1MiB live, 4 987.1MiB allocated
Samples
2.6s4 466×1valid
1.4s3 790×0valid
898.0ms1 158×5exit
443.0ms671×1invalid
432.0ms1 843×0invalid
211.0ms388×4exit
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-log: 1.5s (36.7% of total)
ival-exp: 886.0ms (22.1% of total)
adjust: 534.0ms (13.3% of total)
ival-sub: 414.0ms (10.3% of total)
ival-div: 325.0ms (8.1% of total)
ival-mult: 192.0ms (4.8% of total)
ival-add: 162.0ms (4% of total)
ival-true: 11.0ms (0.3% of total)
exact: 8.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain502.0ms (3.1%)

Memory
8.8MiB live, 520.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15761(-8.369220721735049e-174 -8.369542661209222e-192 -4.16113950060711e-189 6.41619093526222e+21)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
734(-4.637823841572343e+137 28276147.015988797 -3.070926774121423e-45 3.4504909723005404e-248)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
150-15(3912432.122985665 1.3479061460650624e-234 -6.493493627454118e-125 1.6280489863373496e-159)(/.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))))sensitivity1540
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation310
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))uflow-rescue240
(exp.f64 z)underflow87
(*.f64 y (exp.f64 z))underflow87
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow39
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue10
(exp.f64 z)overflow1
(*.f64 y (exp.f64 z))overflow1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow1
Confusion
Predicted +Predicted -
+6139
-12333
Precision
0.33152173913043476
Recall
0.61
Confusion?
Predicted +Predicted MaybePredicted -
+61039
-123033
Precision?
0.33152173913043476
Recall?
0.61
Freqs
test
numberfreq
072
1158
226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
148.0ms300×1valid
108.0ms136×2valid
7.0ms76×0valid
Compiler

Compiled 237 to 79 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-exp: 67.0ms (35.3% of total)
ival-log: 66.0ms (34.8% of total)
ival-sub: 20.0ms (10.5% of total)
adjust: 15.0ms (7.9% of total)
ival-div: 9.0ms (4.7% of total)
ival-mult: 6.0ms (3.2% of total)
ival-add: 5.0ms (2.6% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess277.0ms (1.7%)

Memory
9.5MiB live, 95.9MiB 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(-.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)

simplify42.0ms (0.3%)

Memory
-17.6MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff64
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
cost-diff320
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
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

localize172.0ms (1.1%)

Memory
2.8MiB live, 160.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 y (exp.f64 z))
accuracy3.1629466425706805
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy17.11535679176384
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy35.004150542092106
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
87.0ms150×1valid
52.0ms68×2valid
18.0ms38×0valid
Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-exp: 51.0ms (37.1% of total)
ival-log: 48.0ms (34.9% of total)
ival-mult: 18.0ms (13.1% of total)
adjust: 7.0ms (5.1% of total)
ival-sub: 6.0ms (4.4% of total)
ival-div: 4.0ms (2.9% of total)
ival-add: 3.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series155.0ms (1%)

Memory
-6.3MiB live, 156.3MiB 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
51.0ms
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)))
31.0ms
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)))
23.0ms
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)))
14.0ms
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)))
14.0ms
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)))

simplify201.0ms (1.2%)

Memory
17.7MiB live, 214.3MiB 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))))
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(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(+ 1 (* 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 #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))

rewrite386.0ms (2.4%)

Memory
4.9MiB live, 154.1MiB 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))
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(/.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))))
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(/.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)))
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(/.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))

eval178.0ms (1.1%)

Memory
20.7MiB live, 58.3MiB allocated
Compiler

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

prune58.0ms (0.4%)

Memory
-26.3MiB live, 28.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New33613349
Fresh000
Picked101
Done000
Total33713350
Accuracy
100.0%
Counts
350 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
62.7%
(-.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))
72.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
40.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
75.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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))
60.2%
(-.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))
85.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
74.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
62.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
86.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
25.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 566 to 440 computations (22.3% saved)

simplify502.0ms (3.1%)

Memory
-8.6MiB live, 209.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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
(*.f64 (expm1.f64 z) y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
cost-diff128
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
cost-diff704
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
cost-diff0
(/.f64 y t)
cost-diff0
(*.f64 (/.f64 y t) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
cost-diff0
(/.f64 (expm1.f64 z) t)
cost-diff0
(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040385
066385
1117385
2209359
3396359
4949355
52844355
65721355
08140324
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(/.f64 (-.f64 y (*.f64 y y)) t)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
t
#s(literal 1/2 binary64)
z
(/.f64 y t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
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
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z))
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) y)
(/.f64 (-.f64 y (*.f64 y y)) t)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)
(-.f64 y (*.f64 y y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
y
(*.f64 y y)
t
#s(literal 1/2 binary64)
z
(/.f64 y t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
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

localize218.0ms (1.4%)

Memory
-21.8MiB live, 375.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy3.1629466425706805
(/.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)
accuracy19.064212157005894
#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)))
accuracy35.004150542092106
(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))))
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy0.0078125
(*.f64 (expm1.f64 z) y)
accuracy3.1629466425706805
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy15.12279893958809
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy2.857109373580107
(/.f64 (-.f64 y (*.f64 y y)) t)
accuracy3.669134118483184
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
accuracy9.50127450039567
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
accuracy27.624094544134863
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
accuracy0
(/.f64 y t)
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy5.301863144567048
(*.f64 (/.f64 y t) z)
accuracy26.71925216774029
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy0.0078125
(/.f64 (expm1.f64 z) t)
accuracy3.4526355989675888
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy15.032240265417451
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
120.0ms150×1valid
55.0ms68×2valid
9.0ms38×0valid
Compiler

Compiled 672 to 74 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 36.0ms (24.9% of total)
ival-log: 34.0ms (23.5% of total)
ival-sub: 19.0ms (13.1% of total)
ival-exp: 17.0ms (11.7% of total)
adjust: 15.0ms (10.4% of total)
ival-div: 11.0ms (7.6% of total)
ival-add: 11.0ms (7.6% of total)
ival-expm1: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series139.0ms (0.9%)

Memory
30.0MiB live, 268.4MiB allocated
Counts
23 → 115
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(-.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 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(/.f64 (-.f64 y (*.f64 y y)) t)
(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 (/ (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)))
(+ 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 z) t)
(/ y t)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 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))
1
(+ 1 (* y (- (exp z) 1)))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(* y (+ (* -1 (/ y t)) (/ 1 t)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- 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))))))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* -1/2 (/ (pow y 2) t))
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t))))
(+ (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)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(* -1 (/ (pow y 2) t))
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t)))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 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)))
(/ (+ (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)))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ z t))))
(+ (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 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(+ 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))))
(* 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 (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y 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)))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(* 1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t 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 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(* 1/2 (/ (- y (pow y 2)) t))
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (- y (pow y 2)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
Calls

12 calls:

TimeVariablePointExpression
43.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- 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))) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* (* z y) 1/2) y) z) 1))
27.0ms
y
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- 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))) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* (* z y) 1/2) y) z) 1))
16.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- 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))) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* (* z y) 1/2) y) z) 1))
12.0ms
t
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- 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))) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* (* z y) 1/2) y) z) 1))
11.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (- 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))) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t) (+ (* (+ (* (* z y) 1/2) y) z) 1))

simplify287.0ms (1.8%)

Memory
-0.1MiB live, 272.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04932268
115862171
247882077
086601791
Stop Event
iter limit
node limit
Counts
115 → 114
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)))
(+ 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 z) t)
(/ y t)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 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))
1
(+ 1 (* y (- (exp z) 1)))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(* y (+ (* -1 (/ y t)) (/ 1 t)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- 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))))))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* -1/2 (/ (pow y 2) t))
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t))))
(+ (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)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(* -1 (/ (pow y 2) t))
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t)))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 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)))
(/ (+ (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)))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ z t))))
(+ (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 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(+ 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))))
(* 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 (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y 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)))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(* 1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t 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 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(* 1/2 (/ (- y (pow y 2)) t))
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (- y (pow y 2)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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)
(* -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)
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) 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 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x)
(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.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) 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 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) 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 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y)
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(/ y t)
(/.f64 y t)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)
(* 1/2 (/ y t))
(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))))
(*.f64 (/.f64 y t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(* 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 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 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)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 (*.f64 z y) t))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)
(* y (+ (* -1 (/ y t)) (/ 1 t)))
(/.f64 (-.f64 y (*.f64 y y)) t)
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
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(*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(/.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z z)) t)
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) z) z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) z)
(* (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 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(*.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64) (/.f64 (/.f64 y t) z)) 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)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) t)
(* 1/2 (/ (- y (pow y 2)) t))
(/.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(*.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) t) z)
(/ (- y (pow y 2)) t)
(/.f64 (-.f64 y (*.f64 y y)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y)) (neg.f64 t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (neg.f64 y)) t))

rewrite394.0ms (2.4%)

Memory
-9.2MiB live, 225.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040338
066338
1277338
22216338
08364325
Stop Event
iter limit
node limit
iter limit
Counts
23 → 600
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(-.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 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(/.f64 (-.f64 y (*.f64 y y)) t)
(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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(+.f64 (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) x)
(+.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (neg.f64 (expm1.f64 z)) #s(literal -1 binary64)) (/.f64 y t))
(*.f64 (/.f64 y (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64))))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 (*.f64 z #s(literal 2 binary64))))) (/.f64 y (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (/.f64 y (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 z)) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 y (pow.f64 (expm1.f64 z) #s(literal -1 binary64))))
(*.f64 (*.f64 (expm1.f64 z) y) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 z) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(pow.f64 (/.f64 t (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (expm1.f64 z) y))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 t (expm1.f64 z))))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 y (/.f64 t (expm1.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t) (/.f64 (expm1.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 z (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))

eval163.0ms (1%)

Memory
-15.4MiB live, 114.6MiB allocated
Compiler

Compiled 29 597 to 3 570 computations (87.9% saved)

prune68.0ms (0.4%)

Memory
23.4MiB live, 61.6MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New71214726
Fresh268
Picked325
Done000
Total71722739
Accuracy
100.0%
Counts
739 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.7%
(fma.f64 (neg.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))))) (pow.f64 t #s(literal -1 binary64)) x)
50.2%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
72.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
40.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
24.9%
(-.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))
75.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
60.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
74.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
66.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
62.7%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))))
74.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
86.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
84.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
75.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
69.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
71.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
63.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
68.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
25.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 1 081 to 813 computations (24.8% saved)

simplify162.0ms (1%)

Memory
-6.6MiB live, 78.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
cost-diff0
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) 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 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t y))
cost-diff0
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
cost-diff0
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
cost-diff0
(expm1.f64 z)
cost-diff0
(*.f64 (expm1.f64 z) (/.f64 y t))
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042359
066357
1114351
2207325
3422325
4893325
51408325
62351325
74147325
86404325
97837325
08143303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 t y))
#s(literal 1 binary64)
(/.f64 t y)
t
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
y
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
z
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(expm1.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
(*.f64 (/.f64 y t) z)
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(/.f64 y t)
#s(literal 1 binary64)
(/.f64 t y)
t
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) 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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
y
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
z
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t

localize275.0ms (1.7%)

Memory
-6.9MiB live, 222.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy3.1629466425706805
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy14.690730796210607
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy35.004150542092106
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy1.9450679803688056
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
accuracy3.1629466425706805
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t)
accuracy3.822652045520935
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y)
accuracy28.947715148336325
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
accuracy0.24615668686804887
(/.f64 #s(literal 1 binary64) (/.f64 t y))
accuracy5.301863144567048
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
accuracy26.71925216774029
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy3.4526355989675888
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy15.032240265417451
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy21.617781175926975
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy0
(expm1.f64 z)
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
accuracy2.2552555641084537
(*.f64 (expm1.f64 z) (/.f64 y t))
accuracy15.032240265417451
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
Samples
132.0ms150×1valid
96.0ms68×2valid
9.0ms38×0valid
Compiler

Compiled 627 to 76 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 72.0ms (38.6% of total)
ival-log: 31.0ms (16.6% of total)
adjust: 25.0ms (13.4% of total)
ival-div: 24.0ms (12.9% of total)
ival-exp: 19.0ms (10.2% of total)
ival-add: 7.0ms (3.7% of total)
ival-sub: 6.0ms (3.2% of total)
ival-expm1: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (0.5%)

Memory
23.7MiB live, 172.9MiB allocated
Counts
21 → 96
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 z)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) 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 #s(literal 1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y)
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)))
(+ 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 t)
(/ (* y z) 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))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
1
(+ 1 (* y (- (exp z) 1)))
(* y (+ 1 (* 1/2 z)))
(* y (+ 1 (+ (* -1/2 (* y z)) (* 1/2 z))))
(- 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))))))
(+ (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)))))
(* -1/2 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (* 1/2 (/ z y)) (/ 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)))
(/ (+ (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)))
(+ (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))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z)))
(+ 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))))
(* 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 (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y 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)))))))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 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 (* y (* z (+ 1/2 (* -1/2 y))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
y
(+ y (* y (* z (+ 1/2 (* -1/2 y)))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(- (exp z) 1)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* y (* (pow z 2) (+ 1/2 (* -1/2 y))))
(* (pow z 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y z)))
(- (+ 1 (* y (exp z))) y)
(* y (* z (+ 1/2 (* -1/2 y))))
(* z (+ (* y (+ 1/2 (* -1/2 y))) (/ y z)))
(* -1 (* z (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y z)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
18.0ms
z
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ 1 (/ t y)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) 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))) (+ (* (* y (+ (* -1/2 y) 1/2)) z) y))
15.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ 1 (/ t y)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) 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))) (+ (* (* y (+ (* -1/2 y) 1/2)) z) y))
12.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ 1 (/ t y)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) 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))) (+ (* (* y (+ (* -1/2 y) 1/2)) z) y))
9.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ 1 (/ t y)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) 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))) (+ (* (* y (+ (* -1/2 y) 1/2)) z) y))
8.0ms
t
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (- (exp z) 1) (/ y t)) (- (exp z) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ 1 (/ t y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ 1 (/ t y)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) 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))) (+ (* (* y (+ (* -1/2 y) 1/2)) z) y))

simplify222.0ms (1.4%)

Memory
-25.2MiB live, 264.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04361952
114041845
242971776
081211503
Stop Event
iter limit
node limit
Counts
96 → 93
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)))
(+ 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)))
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(/ y t)
(/ (* y z) 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))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
1
(+ 1 (* y (- (exp z) 1)))
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(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
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(- (+ 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))))
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(/ (+ (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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(- (+ (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)))))
(* -1/2 (* (pow y 2) (pow z 2)))
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(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(* 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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z
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(/ z t)
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(/ (- (exp z) 1) t)
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(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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Outputs
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* y (* z (+ 1 (* 1/2 z))))
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(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) z)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z)
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(*.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z)
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(*.f64 (fma.f64 (*.f64 (/.f64 y t) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z (/.f64 y t)) z)
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(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y t) z) (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) z (/.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)
(/ z t)
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(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))
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(* y z)
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(* 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))))))))
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y
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(/ (- (exp z) 1) t)
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(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) z)
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(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)
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rewrite234.0ms (1.4%)

Memory
16.5MiB live, 246.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042312
066304
1275304
22092304
08578291
Stop Event
iter limit
node limit
iter limit
Counts
21 → 482
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))
(*.f64 (expm1.f64 z) (/.f64 y t))
(expm1.f64 z)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 #s(literal 1 binary64) (/.f64 t y))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) 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 #s(literal 1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y)
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) x))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)
(fma.f64 (*.f64 z y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y)
(fma.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y)
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) y)
(+.f64 y (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z))

eval172.0ms (1.1%)

Memory
13.7MiB live, 136.3MiB allocated
Compiler

Compiled 22 188 to 2 354 computations (89.4% saved)

prune69.0ms (0.4%)

Memory
-3.3MiB live, 90.4MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New5576563
Fresh31215
Picked145
Done022
Total56124585
Accuracy
100.0%
Counts
585 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
50.2%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
72.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
40.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
24.9%
(-.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))
75.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
65.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y) z)) t))
61.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
58.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
74.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
66.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
72.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
76.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
74.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
86.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
84.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
75.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
69.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
71.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
63.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
25.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 1 070 to 815 computations (23.8% saved)

simplify147.0ms (0.9%)

Memory
-17.6MiB live, 136.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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)))
cost-diff0
(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))))
cost-diff0
(/.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)
cost-diff0
(-.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))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
cost-diff128
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))
cost-diff1024
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
cost-diff0
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff0
(/.f64 (/.f64 t y) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066671
095673
1170673
2329660
3671651
41469629
53200629
66819629
08121540
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
#s(literal 1 binary64)
(/.f64 (/.f64 t y) z)
(/.f64 t y)
t
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))
(*.f64 y (/.f64 (*.f64 z y) t))
y
(/.f64 (*.f64 z y) t)
(*.f64 z y)
z
t
#s(literal -1/2 binary64)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z))
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)
#s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
(fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y)))
#s(literal -1/2 binary64)
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))
(fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 y)
y
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))
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)
(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))))
#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)))
#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))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.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
t
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
(*.f64 (/.f64 y t) z)
#s(literal 1 binary64)
(/.f64 (/.f64 t y) z)
(/.f64 t y)
t
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y t) z)) y)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y t) z)) y)) z))
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y t) z)) y)) z)
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y t) z)) y))
(*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y t) z)) y)
(*.f64 y (/.f64 (*.f64 z y) t))
(*.f64 (*.f64 (/.f64 y t) z) y)
y
(/.f64 (*.f64 z y) t)
(*.f64 (/.f64 y t) z)
(*.f64 z y)
z
t
#s(literal -1/2 binary64)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)) z))
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)) z)
#s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y))
#s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))
#s(literal -1/2 binary64)
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 y)
y
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))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) t))
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)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))) t)
(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))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))
#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)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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))
#s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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
t

localize300.0ms (1.9%)

Memory
21.0MiB live, 451.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.792028704769107
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
accuracy19.064212157005894
#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)))
accuracy35.004150542092106
(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))))
accuracy37.18998551011934
#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))
accuracy1.9450679803688056
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)
accuracy3.1629466425706805
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t)
accuracy7.789046946563818
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
accuracy28.947715148336325
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z))
accuracy3.669134118483184
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
accuracy4.828056052715547
(/.f64 (*.f64 z y) t)
accuracy27.624094544134863
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
accuracy39.567592706026254
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
accuracy0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy3.1629466425706805
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy28.596219880872297
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
accuracy0.3443573540261269
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
accuracy5.064675112488257
(/.f64 (/.f64 t y) z)
accuracy26.71925216774029
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
Samples
144.0ms150×1valid
75.0ms68×2valid
15.0ms38×0valid
Compiler

Compiled 1 041 to 122 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 39.0ms (22% of total)
adjust: 38.0ms (21.4% of total)
ival-log: 37.0ms (20.8% of total)
ival-div: 20.0ms (11.3% of total)
ival-exp: 16.0ms (9% of total)
ival-add: 15.0ms (8.5% of total)
ival-sub: 11.0ms (6.2% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series199.0ms (1.2%)

Memory
-31.2MiB live, 136.9MiB allocated
Counts
25 → 119
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
(/.f64 (/.f64 t y) z)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) 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))
(/.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)
(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))))
#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)))
(/.f64 (*.f64 z y) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z))
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) 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))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
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)))
(/ (* y z) t)
(+ 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)))
(/ t (* y z))
(* 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))
(* y z)
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* -1 (- (* -1/2 z) 1))
(+ (* -1 (- (* -1/2 z) 1)) (* -1/2 (* y z)))
(* -1 (/ (- (* -1/2 z) 1) y))
1
(+ 1 (* y (- (exp z) 1)))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- 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))))))
(+ (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)))))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* -1/2 (* y z))
(* y (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z)))
(* y (- (+ (exp z) (/ 1 y)) 1))
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(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
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(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
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(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
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(* z (+ (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(- (+ 1 (* y (exp z))) y)
(* y (* (pow z 2) (+ 1/2 (* -1/2 y))))
(* (pow z 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y 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 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(* -1 (* y (* z (- 1/2 (* 1/2 (/ 1 y))))))
(* -1 (* z (- (* y (- 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
Calls

12 calls:

TimeVariablePointExpression
86.0ms
y
@-inf
((/ 1 (/ (/ t y) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (/ t y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (/ (+ (* -1/2 z) -1) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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))) (/ (* z y) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1) (* (* (+ (* 1/2 z) 1) z) y))
26.0ms
z
@-inf
((/ 1 (/ (/ t y) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (/ t y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (/ (+ (* -1/2 z) -1) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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))) (/ (* z y) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1) (* (* (+ (* 1/2 z) 1) z) y))
19.0ms
t
@-inf
((/ 1 (/ (/ t y) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (/ t y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (/ (+ (* -1/2 z) -1) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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))) (/ (* z y) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1) (* (* (+ (* 1/2 z) 1) z) y))
17.0ms
x
@-inf
((/ 1 (/ (/ t y) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (/ t y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (/ (+ (* -1/2 z) -1) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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))) (/ (* z y) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1) (* (* (+ (* 1/2 z) 1) z) y))
12.0ms
t
@inf
((/ 1 (/ (/ t y) z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (/ t y) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (/ (+ (* -1/2 z) -1) (neg y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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))) (/ (* z y) t) (log (+ (- 1 y) (* y (exp z)))) (* (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1) (* (* (+ (* 1/2 z) 1) z) y))

simplify228.0ms (1.4%)

Memory
39.3MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04972283
115792170
246622082
085971795
Stop Event
iter limit
node limit
Counts
119 → 118
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)))
(/ (* y z) t)
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(+ 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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(/ t (* y z))
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1
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(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(* -1 (* y (* z (- 1/2 (* 1/2 (/ 1 y))))))
(* -1 (* z (- (* y (- 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
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)
(* -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)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64)) y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) 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 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))) y x)
(/ (* y (- (exp z) 1)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64)) 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 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) 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 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) y (/.f64 (expm1.f64 z) t)) y)
(/ t (* y z))
(/.f64 t (*.f64 z y))
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (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 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z) #s(literal -1/2 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 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)
(* y z)
(*.f64 z y)
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t) (*.f64 (/.f64 (*.f64 (*.f64 z z) y) t) #s(literal -1/2 binary64))) y)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(*.f64 (fma.f64 (/.f64 z t) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) y)
(* -1 (- (* -1/2 z) 1))
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
(+ (* -1 (- (* -1/2 z) 1)) (* -1/2 (* y z)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(* -1 (/ (- (* -1/2 z) 1) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (* z (+ 1 (* 1/2 z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y) z)
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.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 (/ 1/2 (* 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))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) 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)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) 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)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- (+ (* -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))))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)))) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) (log.f64 (expm1.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))) (log.f64 y))) (log.f64 (expm1.f64 z)))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t)) y)) y) y)
(* -1/2 (/ (* (pow y 2) z) t))
(*.f64 (*.f64 y (*.f64 (/.f64 y t) z)) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 z t) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) t)) y) y)
(* -1/2 (* y z))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y)
(* y (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) y)
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
(* -1/2 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y)))
(*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y)
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) y) t)) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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)))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y t) y)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) y) t)) x)) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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)))
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
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(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(*.f64 (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) z) (neg.f64 y))) y) y)
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ z t))))
(*.f64 (*.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 z t) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) t)) (neg.f64 y))) y) y)
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(*.f64 (expm1.f64 z) y)
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2))))
(*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))) y) y)
(* -1 (* y (* z (- (* -1/2 z) 1))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (*.f64 (/.f64 y t) z))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64) (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 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 (neg.f64 y) t)) z x)
(* 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 #s(literal 1/6 binary64) z) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) (/.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 (*.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 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) 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)) z) 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 (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 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (*.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 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))) z)) z y) z)
(* z (+ (* 1/2 (/ (* z (- y (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)
(/ y t)
(/.f64 y t)
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t))
(+ 1 (* y (* z (- (* 1/2 (/ 1 y)) 1/2))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 1/2 (/ z y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) z (/.f64 #s(literal 1 binary64) y))
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(+ 1 (* 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 #s(literal 1 binary64))
(* z (+ y (* y (* z (+ 1/2 (* -1/2 y))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(/ (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))
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y) t) z)
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(*.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)
(* 1/2 (/ (* z (- y (pow y 2))) t))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y) t)
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t))
(* y (* z (- (* 1/2 (/ 1 y)) 1/2)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z)
(* z (+ (* y (- (* 1/2 (/ 1 y)) 1/2)) (/ 1 z)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) z #s(literal 1 binary64))
(* 1/2 (/ z y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(* z (+ (* 1/2 (/ 1 y)) (/ 1 (* y z))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) z (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* y (* (pow z 2) (+ 1/2 (* -1/2 y))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y) z)
(* (pow z 2) (+ (* y (+ 1/2 (* -1/2 y))) (/ y z)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y (/.f64 y z)) z) z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)
(* (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 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t))
(* -1 (* y (* z (- 1/2 (* 1/2 (/ 1 y))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z y))
(* -1 (* z (- (* y (- 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) z #s(literal -1 binary64)))
(* (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)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y) z) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y y) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) 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)
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) t) z (/.f64 y t))

rewrite207.0ms (1.3%)

Memory
-20.8MiB live, 296.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066557
095551
1406551
23240551
08538515
Stop Event
iter limit
node limit
iter limit
Counts
25 → 351
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)))
(/.f64 (/.f64 t y) z)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z))
(*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)
#s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) 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))
(/.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)
(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))))
#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)))
(/.f64 (*.f64 z y) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z))
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) 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))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
Outputs
(*.f64 (/.f64 z (neg.f64 t)) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 (neg.f64 t) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 t) y) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (/.f64 z t) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 y t))
(*.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y t))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (/.f64 y t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 z) y) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 t) y) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y t) z) #s(literal 1 binary64))
(*.f64 (/.f64 y t) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y t) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 y t) z)
(*.f64 (*.f64 z y) (pow.f64 t #s(literal -1 binary64)))
(*.f64 z (/.f64 y t))
(*.f64 y (/.f64 z t))
(*.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z))
(*.f64 y (*.f64 z (pow.f64 t #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y t) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 t y) z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 t y) z) (/.f64 (/.f64 t y) z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y t) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y t) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1 binary64))
(/.f64 (/.f64 z t) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) t)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) t)
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 t y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 t y))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 t) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 t) y) z))
(/.f64 (/.f64 y t) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 z y) t)
(/.f64 z (/.f64 t y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) t))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z)))
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (/.f64 y t) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 z y) t)
(/.f64 z (/.f64 t y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) y) t))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t y) z)))
(neg.f64 (/.f64 (*.f64 z y) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))) z))
(*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))) z)
(*.f64 z #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) y)) (*.f64 y y))))
#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))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y))
(*.f64 (*.f64 z y) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))
(*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))
(*.f64 y (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(/.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 z y)) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))

eval122.0ms (0.8%)

Memory
24.1MiB live, 109.8MiB allocated
Compiler

Compiled 17 831 to 1 950 computations (89.1% saved)

prune32.0ms (0.2%)

Memory
-7.0MiB live, 68.5MiB allocated
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New4044408
Fresh31013
Picked145
Done066
Total40824432
Accuracy
100.0%
Counts
432 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
50.2%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) t))
72.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
40.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
24.9%
(-.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))
75.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
58.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
65.0%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) y)) z)) t))
74.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
66.2%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
72.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
74.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
76.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
76.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
86.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
76.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
84.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
75.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
69.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
68.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
71.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
63.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
25.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 1 628 to 726 computations (55.4% saved)

regimes104.0ms (0.6%)

Memory
-12.2MiB live, 143.0MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y 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))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) 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))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
#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))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(fma.f64 (neg.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))))) (pow.f64 t #s(literal -1 binary64)) x)
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))) (*.f64 (expm1.f64 z) y))) t))
Calls

9 calls:

15.0ms
x
14.0ms
z
13.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms
t
11.0ms
y
Results
AccuracySegmentsBranch
86.4%1x
94.4%3y
89.7%2z
86.4%1t
92.8%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
93.7%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
93.8%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.8%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
89.7%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes337.0ms (2.1%)

Memory
-36.3MiB live, 60.8MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y 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))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) 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))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.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)))
Calls

5 calls:

301.0ms
y
10.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
8.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
8.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
8.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
88.7%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
91.9%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
90.1%3y
88.7%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
88.7%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 42 to 46 computations (-9.5% saved)

regimes38.0ms (0.2%)

Memory
2.2MiB live, 46.7MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y 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))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) 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))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))))
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
Outputs
(fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Calls

3 calls:

19.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms
z
8.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
86.4%1(exp.f64 z)
88.4%2z
89.4%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 14 to 20 computations (-42.9% saved)

regimes14.0ms (0.1%)

Memory
-19.7MiB live, 17.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y 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))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) #s(approx (* y (exp z)) (fma.f64 z y y)))) 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))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #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 x (/.f64 #s(literal 1 binary64) (/.f64 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)))))))
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)))
Calls

1 calls:

12.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
89.4%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 11 to 11 computations (0% saved)

regimes24.0ms (0.1%)

Memory
3.1MiB live, 40.3MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y 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

3 calls:

9.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
7.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
6.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
88.7%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
88.7%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
86.4%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 28 to 30 computations (-7.1% saved)

regimes109.0ms (0.7%)

Memory
7.2MiB live, 91.0MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.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 (expm1.f64 z) (/.f64 y t))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
Calls

9 calls:

38.0ms
y
23.0ms
x
7.0ms
t
7.0ms
z
7.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
86.8%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
86.6%2x
86.8%2(exp.f64 z)
84.3%1t
86.8%2z
86.8%2y
86.8%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
88.8%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
88.8%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes154.0ms (1%)

Memory
-24.7MiB live, 142.2MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) 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 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
Calls

9 calls:

94.0ms
z
10.0ms
x
9.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
7.0ms
t
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
80.3%3t
81.6%3x
80.0%2y
78.8%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
82.5%4(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
84.7%2(exp.f64 z)
84.7%2z
81.5%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
81.5%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes93.0ms (0.6%)

Memory
6.2MiB live, 118.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 #s(approx (* (+ (* -1/2 z) (/ (+ (* -1/2 z) -1) (neg y))) y) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64))) 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 #s(literal 1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) 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))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 (/.f64 z t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) t)) y)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 #s(approx (+ (* (* y (+ (* -1/2 y) 1/2)) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal -1 binary64)) (neg.f64 y))) y) y)) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) y) z)))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y)))
Calls

9 calls:

30.0ms
y
15.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
9.0ms
t
7.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
76.2%1t
78.1%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
78.1%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
78.2%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
78.2%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
76.2%1x
76.2%1y
78.5%2z
78.5%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes8.0ms (0%)

Memory
32.5MiB live, 32.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 y t))) z)))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
Calls

4 calls:

2.0ms
z
2.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
78.2%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
78.2%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
78.1%2z
78.1%2(exp.f64 z)
Compiler

Compiled 20 to 28 computations (-40% saved)

regimes9.0ms (0.1%)

Memory
-32.9MiB live, 12.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

4 calls:

5.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
2.0ms
z
1.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
1.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
78.1%2z
78.1%2(exp.f64 z)
78.1%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
78.1%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 20 to 28 computations (-40% saved)

regimes11.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
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
y
1.0ms
t
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
75.1%1t
75.1%1x
75.1%1y
75.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
75.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
75.1%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
75.1%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
75.1%1z
75.1%1(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
8.868544149650025e+27
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.63439852219247e-15
-9.340515888425236e-49
0.0ms
-inf
-7.568945548137212e+297
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
-2.384361807788655e-11
-4.63439852219247e-15
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
-2.384361807788655e-11
-4.63439852219247e-15
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.41855977994504e+98
2.307051908777883e+101
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch19.0ms (0.1%)

Memory
-36.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.41855977994504e+98
2.307051908777883e+101
0.0ms
0.0
0.9999984394710997
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch34.0ms (0.2%)

Memory
13.1MiB live, 50.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-8.950771529146897
-1.5204197616567906e-7
Samples
11.0ms41×1valid
10.0ms103×0valid
2.0ms28×0invalid
Compiler

Compiled 430 to 361 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-log: 6.0ms (35.5% of total)
ival-exp: 4.0ms (23.7% of total)
ival-sub: 2.0ms (11.8% of total)
ival-div: 2.0ms (11.8% of total)
ival-add: 1.0ms (5.9% of total)
adjust: 1.0ms (5.9% of total)
ival-mult: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0001296371026489054
0.9999998479580354
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999984394710997
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999998728987558
0.9999999782270631
Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify30.0ms (0.2%)

Memory
26.4MiB live, 64.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100593
1138593
2187593
3219593
4238593
5242593
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -inf.0 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.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)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (-.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))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 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 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 z #s(literal -4278419646001971/2251799813685248 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 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (exp.f64 z) #s(literal 9007198354021067/9007199254740992 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Outputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4 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 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -inf.0 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.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)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t) #s(literal -inf.0 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (if (<=.f64 (/.f64 (log.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.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)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (fma.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))) (pow.f64 t #s(literal -1 binary64)) x) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (-.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))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))) t) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (-.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))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 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 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 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 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (expm1.f64 z) (/.f64 y t)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 999999999999999967336168804116691273849533185806555472917961779471295845921727862608739868455469056 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) (expm1.f64 z)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))))
(if (<=.f64 z #s(literal -4278419646001971/2251799813685248 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 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 z #s(literal -4278419646001971/2251799813685248 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 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 z t) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))) y))))
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 z t) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (exp.f64 z) #s(literal 9007198354021067/9007199254740992 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

soundness1.0s (6.3%)

Memory
-8.5MiB live, 627.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042312
066304
1275304
22092304
08578291
03351607
110121507
231661458
082251214
040338
066338
1277338
22216338
08364325
04932268
115862171
247882077
086601791
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 866 to 355 computations (59% saved)

preprocess365.0ms (2.3%)

Memory
-0.1MiB live, 155.9MiB allocated
Compiler

Compiled 1 294 to 276 computations (78.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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