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

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze783.0ms (5.2%)

Memory
32.5MiB live, 531.2MiB allocated; 919ms collecting garbage
Algorithm
1×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)

sample5.7s (37.7%)

Memory
104.6MiB live, 5 679.4MiB allocated; 1.1s collecting garbage
Samples
2.1s4 653×1valid
1.8s1 593×5exit
346.0ms3 603×0valid
311.0ms744×1invalid
166.0ms1 670×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-log: 1.4s (36.2% of total)
ival-exp: 808.0ms (20.5% of total)
adjust: 801.0ms (20.3% of total)
ival-sub: 297.0ms (7.5% of total)
ival-div: 213.0ms (5.4% of total)
ival-mult: 190.0ms (4.8% of total)
ival-add: 187.0ms (4.7% of total)
ival-true: 10.0ms (0.3% of total)
exact: 9.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain353.0ms (2.4%)

Memory
16.5MiB live, 456.3MiB allocated; 92ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16241(6.270387974501843e-104 -7.129436650811908e-39 -9.786494648293671e-294 -4.334702771278366e-219)1(2.7602227345119364e+294 -7.7452546762005795e+174 -1.6363916865123603e-177 -2.4931971188775553e+283)(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
707(3.817339957252937e-125 89296.52203742618 -7.763779109863622e-124 -1.996228236705272e-156)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
180-4(-1.810915422844608e+260 2.3553477017464428e-108 9.756009662349343e-216 9.429235889831898e-66)(/.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))))sensitivity2011
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation380
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n40
↳(exp.f64 z)underflow85
↳(*.f64 y (exp.f64 z))underflow85
↳(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow40
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 -
+9510
-12328
Precision
0.43577981651376146
Recall
0.9047619047619048
Confusion?
Predicted +Predicted MaybePredicted -
+9519
-123028
Precision?
0.4383561643835616
Recall?
0.9142857142857143
Freqs
test
numberfreq
038
1192
226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
159.0ms354×1valid
78.0ms96×2valid
6.0ms62×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-log: 97.0ms (48.1% of total)
ival-exp: 42.0ms (20.8% of total)
adjust: 25.0ms (12.4% of total)
ival-div: 15.0ms (7.4% of total)
ival-sub: 11.0ms (5.5% of total)
ival-mult: 6.0ms (3% of total)
ival-add: 5.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess195.0ms (1.3%)

Memory
-23.2MiB live, 164.0MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1137194
2356192
31190190
44104190
01213
01913
13113
26313
318313
454413
5323413
6796013
0805811
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.3%
(-.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)

simplify110.0ms (0.7%)

Memory
39.8MiB live, 126.1MiB allocated; 11ms collecting garbage
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-diff1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
cost-diff1
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01955
13155
26355
318355
454455
5323455
6796055
0805848
Stop Event
1×iter limit
1×node limit
1×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 (+.f64 #s(literal -1 binary64) (exp.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 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(-.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

localize210.0ms (1.4%)

Memory
-15.1MiB live, 142.6MiB allocated; 26ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 y (exp.f64 z))
accuracy3.6408162599876603
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy16.912777634492368
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy36.072773103359225
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
144.0ms177×1valid
53.0ms48×2valid
3.0ms31×0valid
Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-exp: 99.0ms (54.2% of total)
ival-sub: 31.0ms (17% of total)
ival-log: 28.0ms (15.3% of total)
adjust: 14.0ms (7.7% of total)
ival-div: 4.0ms (2.2% of total)
ival-mult: 3.0ms (1.6% of total)
ival-add: 3.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series170.0ms (1.1%)

Memory
-35.8MiB live, 198.3MiB allocated; 35ms collecting garbage
Counts
5 → 69
Calls
Call 1
Inputs
(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 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)))
(* 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)))
(+ 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))
(+ (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))
(- 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 (+ 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))))
(- 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)))
(* 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)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 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))))
(/ (* 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))))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 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
52.0ms
x
@0
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
29.0ms
z
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
28.0ms
z
@-inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
17.0ms
t
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
13.0ms
t
@0
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify183.0ms (1.2%)

Memory
60.6MiB live, 236.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351597
110791468
240581425
091541220
Stop Event
1×iter limit
1×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)))
(* 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)))
(+ 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))
(+ (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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(* 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 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 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) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(+ 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))))
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(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z 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 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) t) 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)
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z y)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite289.0ms (1.9%)

Memory
-59.5MiB live, 304.9MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17245
252845
3719545
0815541
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 188
Calls
Call 1
Inputs
(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 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
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(*.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))))
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(fma.f64 x (/.f64 x (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)))
(/.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) (neg.f64 t))
(/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)
(neg.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) 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 (log.f64 (-.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))
(*.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))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) y) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y)) (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y))) (-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y) (-.f64 (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y)) (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))))
(/.f64 y (exp.f64 (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z)))
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.f64 z) y))
(fma.f64 (*.f64 (sinh.f64 z) y) #s(literal 1 binary64) (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) y) #s(literal 1 binary64) (*.f64 (sinh.f64 z) y))
(fma.f64 (sinh.f64 z) y (*.f64 (cosh.f64 z) y))
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 (cosh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 (sinh.f64 z) y))
(fma.f64 y (sinh.f64 z) (*.f64 (cosh.f64 z) y))
(fma.f64 y (cosh.f64 z) (*.f64 (sinh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 (neg.f64 z)) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (neg.f64 y) (sinh.f64 z)))
(+.f64 (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))

eval35.0ms (0.2%)

Memory
34.1MiB live, 78.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 10 145 to 1 411 computations (86.1% saved)

prune50.0ms (0.3%)

Memory
-10.6MiB live, 35.0MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New23717254
Fresh000
Picked101
Done000
Total23817255
Accuracy
99.7%
Counts
255 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.5%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))
▶82.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
68.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
70.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
15.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
▶47.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
80.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y)) y (expm1.f64 z)) y)) t))
51.7%
(-.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 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
▶83.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶70.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
82.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
57.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
▶84.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
51.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x))
57.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
77.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
Compiler

Compiled 1 000 to 734 computations (26.6% saved)

simplify244.0ms (1.6%)

Memory
14.5MiB live, 197.9MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
cost-diff1
(+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)
cost-diff2
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
cost-diff2
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #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
(*.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 (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
061728
0103728
1177728
2492717
32354717
08797646
Stop Event
1×iter limit
1×node limit
1×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 (/.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 (/.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 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y))
#s(literal 1/24 binary64)
(+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
#s(literal -7 binary64)
(*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
z
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 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 (/.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 (/.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 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 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 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y) z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) z y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) z) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 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)))
(*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)) (*.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64))))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal -6 binary64)
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 12 binary64) y #s(literal -7 binary64)))
(*.f64 y y)
#s(literal -7 binary64)
(*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64))
#s(literal 12 binary64)
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
z
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y)
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) y)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 y y (neg.f64 y))
(neg.f64 y)
#s(literal -1/2 binary64)
t

localize462.0ms (3.1%)

Memory
10.5MiB live, 298.2MiB allocated; 38ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.676252059655292
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
accuracy7.765561010736381
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))
accuracy14.557891269205424
(fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))
accuracy27.790961643186208
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
accuracy0.00390625
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
accuracy3.6408162599876603
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
accuracy36.072773103359225
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy0.00390625
(*.f64 (expm1.f64 z) y)
accuracy3.6408162599876603
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy13.960386711611395
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy0.0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy3.6408162599876603
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy27.39698826640027
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.00390625
(/.f64 (expm1.f64 z) t)
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy3.613066475149187
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy13.687005756940133
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
186.0ms177×1valid
130.0ms48×2valid
68.0ms31×0valid
Compiler

Compiled 575 to 56 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-add: 74.0ms (26.6% of total)
adjust: 47.0ms (16.9% of total)
ival-mult: 40.0ms (14.4% of total)
ival-log: 29.0ms (10.4% of total)
ival-expm1: 28.0ms (10.1% of total)
ival-exp: 16.0ms (5.7% of total)
ival-div: 15.0ms (5.4% of total)
const: 10.0ms (3.6% of total)
ival-pow: 10.0ms (3.6% of total)
ival-sub: 6.0ms (2.2% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1%)

Memory
-25.3MiB live, 127.2MiB allocated; 31ms collecting garbage
Counts
25 → 137
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 (/.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 (/.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 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y))
(+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)
(*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 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 (- (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 (* y (- (exp z) 1)))
(* -7 (pow y 2))
(* (pow y 2) (- (* 12 y) 7))
y
(* y (+ 1 (* -3 y)))
(* y (+ 1 (* y (- (* 2 y) 3))))
(* y (+ 1 (* -7 y)))
(* y (+ 1 (* y (- (* 12 y) 7))))
(* y (+ 1 (* y (- (* y (+ 12 (* -6 y))) 7))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (+ 1/6 (* 1/24 z)))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (* -7/24 z) 1/2)))))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (* 1/2 z)))) 1/2)))))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (+ (* -1/4 (* y z)) (* 1/2 z))))) 1/2)))))
(* (pow y 2) (- (* y (+ 12 (* -6 y))) 7))
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))
(* y (+ 1/2 (+ (* y (- (* z (- (* -7/24 z) 1/2)) 1/2)) (* z (+ 1/6 (* 1/24 z))))))
(* y (+ 1/2 (+ (* y (- (+ (* y (* z (+ 1/3 (* 1/2 z)))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 z))))))
(* y (+ 1/2 (+ (* y (- (+ (* y (+ (* -1/4 (* y (pow z 2))) (* z (+ 1/3 (* 1/2 z))))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 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)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* 12 (pow y 3))
(* (pow y 3) (- 12 (* 7 (/ 1 y))))
(* 2 (pow y 3))
(* (pow y 3) (- 2 (* 3 (/ 1 y))))
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y))))
(* -6 (pow y 4))
(* (pow y 4) (- (* 12 (/ 1 y)) 6))
(* (pow y 4) (- (* 12 (/ 1 y)) (+ 6 (/ 7 (pow y 2)))))
(* (pow y 4) (- (+ (* 12 (/ 1 y)) (/ 1 (pow y 3))) (+ 6 (/ 7 (pow y 2)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* -1/4 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y)))))
(* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y))))) (/ 1/2 (pow y 2))))
(* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/24 (/ z (pow y 3))) (+ (* 1/2 (/ z y)) (+ (* 1/3 (/ 1 y)) (* 1/6 (/ 1 (pow y 3)))))))) (/ 1/2 (pow y 2))))
(* -1/4 (* (pow y 4) (pow z 2)))
(* (pow y 4) (+ (* -1/4 (pow z 2)) (/ (* z (+ 1/3 (* 1/2 z))) y)))
(* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))) (/ 1/2 (pow y 2))))
(* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (* 1/2 (/ 1 (pow y 3))) (+ (/ (* z (+ 1/6 (* 1/24 z))) (pow y 3)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))))) (/ 1/2 (pow y 2))))
(- 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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(* (pow y 4) (- (* -1 (/ (- (* 7 (/ 1 y)) 12) y)) 6))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 7) y)) 12) y)) 6))
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y))))
(* (pow y 4) (+ (* -1 (/ (- (* -1/2 z) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -7/24 z) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 z) 1/6) y)) (* -7/24 z)) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (* z (- (* -1/2 z) 1/3)) y)) (* -1/4 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -7/24 z) 1/2)) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* z (- (* -1/24 z) 1/6)) 1/2) y)) (* z (- (* -7/24 z) 1/2))) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))
(+ 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)))
(* 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)))
(* 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))))))
(* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))
(+ (* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(+ (* -1/2 (- (pow y 2) y)) (* z (+ (* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* z (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z))))
(* 1/24 (* (pow z 2) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* (pow z 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) (pow z 2))) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z)))))
(* -1 (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z))) z)) (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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) -7) (* 12 (pow y 3))) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y) (* (+ (* y y) (neg y)) -1/2) (+ (* (- (exp z) 1) y) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) (+ (* (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) z) (* (+ (* y y) (neg y)) -1/2)))
24.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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) -7) (* 12 (pow y 3))) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y) (* (+ (* y y) (neg y)) -1/2) (+ (* (- (exp z) 1) y) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) (+ (* (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) z) (* (+ (* y y) (neg y)) -1/2)))
11.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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) -7) (* 12 (pow y 3))) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y) (* (+ (* y y) (neg y)) -1/2) (+ (* (- (exp z) 1) y) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) (+ (* (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) z) (* (+ (* y y) (neg y)) -1/2)))
11.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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) -7) (* 12 (pow y 3))) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y) (* (+ (* y y) (neg y)) -1/2) (+ (* (- (exp z) 1) y) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) (+ (* (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) z) (* (+ (* y y) (neg y)) -1/2)))
10.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- 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) -7) (* 12 (pow y 3))) (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y) (* (+ (* y y) (neg y)) -1/2) (+ (* (- (exp z) 1) y) 1) (log (+ (- 1 y) (* y (exp z)))) (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) (+ (* (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) z) (* (+ (* y y) (neg y)) -1/2)))

simplify166.0ms (1.1%)

Memory
-18.4MiB live, 216.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06512991
122032816
081012474
Stop Event
1×iter limit
1×node limit
Counts
137 → 135
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 (- (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 (* y (- (exp z) 1)))
(* -7 (pow y 2))
(* (pow y 2) (- (* 12 y) 7))
y
(* y (+ 1 (* -3 y)))
(* y (+ 1 (* y (- (* 2 y) 3))))
(* y (+ 1 (* -7 y)))
(* y (+ 1 (* y (- (* 12 y) 7))))
(* y (+ 1 (* y (- (* y (+ 12 (* -6 y))) 7))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (+ 1/6 (* 1/24 z)))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (* -7/24 z) 1/2)))))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (* 1/2 z)))) 1/2)))))
(* y (+ 1/6 (+ (* 1/24 z) (* y (- (+ (* -7/24 z) (* y (+ 1/3 (+ (* -1/4 (* y z)) (* 1/2 z))))) 1/2)))))
(* (pow y 2) (- (* y (+ 12 (* -6 y))) 7))
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))
(* y (+ 1/2 (+ (* y (- (* z (- (* -7/24 z) 1/2)) 1/2)) (* z (+ 1/6 (* 1/24 z))))))
(* y (+ 1/2 (+ (* y (- (+ (* y (* z (+ 1/3 (* 1/2 z)))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 z))))))
(* y (+ 1/2 (+ (* y (- (+ (* y (+ (* -1/4 (* y (pow z 2))) (* z (+ 1/3 (* 1/2 z))))) (* z (- (* -7/24 z) 1/2))) 1/2)) (* z (+ 1/6 (* 1/24 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)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* 12 (pow y 3))
(* (pow y 3) (- 12 (* 7 (/ 1 y))))
(* 2 (pow y 3))
(* (pow y 3) (- 2 (* 3 (/ 1 y))))
(* (pow y 3) (- (+ 2 (/ 1 (pow y 2))) (* 3 (/ 1 y))))
(* -6 (pow y 4))
(* (pow y 4) (- (* 12 (/ 1 y)) 6))
(* (pow y 4) (- (* 12 (/ 1 y)) (+ 6 (/ 7 (pow y 2)))))
(* (pow y 4) (- (+ (* 12 (/ 1 y)) (/ 1 (pow y 3))) (+ 6 (/ 7 (pow y 2)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
(* -1/4 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y)))))
(* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/2 (/ z y)) (* 1/3 (/ 1 y))))) (/ 1/2 (pow y 2))))
(* (pow y 4) (- (+ (* -7/24 (/ z (pow y 2))) (+ (* -1/4 z) (+ (* 1/24 (/ z (pow y 3))) (+ (* 1/2 (/ z y)) (+ (* 1/3 (/ 1 y)) (* 1/6 (/ 1 (pow y 3)))))))) (/ 1/2 (pow y 2))))
(* -1/4 (* (pow y 4) (pow z 2)))
(* (pow y 4) (+ (* -1/4 (pow z 2)) (/ (* z (+ 1/3 (* 1/2 z))) y)))
(* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))) (/ 1/2 (pow y 2))))
(* (pow y 4) (- (+ (* -1/4 (pow z 2)) (+ (* 1/2 (/ 1 (pow y 3))) (+ (/ (* z (+ 1/6 (* 1/24 z))) (pow y 3)) (+ (/ (* z (+ 1/3 (* 1/2 z))) y) (/ (* z (- (* -7/24 z) 1/2)) (pow y 2)))))) (/ 1/2 (pow y 2))))
(- 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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* (pow y 3) (- (* 7 (/ 1 y)) 12)))
(* -1 (* (pow y 3) (- (* 3 (/ 1 y)) 2)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 3) y)) 2)))
(* (pow y 4) (- (* -1 (/ (- (* 7 (/ 1 y)) 12) y)) 6))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 7) y)) 12) y)) 6))
(* -1 (* y (- (* -1 (- (exp z) 1)) (/ 1 y))))
(* (pow y 4) (+ (* -1 (/ (- (* -1/2 z) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -7/24 z) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 z) 1/6) y)) (* -7/24 z)) 1/2) y)) (* -1/2 z)) 1/3) y)) (* -1/4 z)))
(* (pow y 4) (+ (* -1 (/ (* z (- (* -1/2 z) 1/3)) y)) (* -1/4 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -7/24 z) 1/2)) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* z (- (* -1/24 z) 1/6)) 1/2) y)) (* z (- (* -7/24 z) 1/2))) 1/2) y)) (* z (- (* -1/2 z) 1/3))) y)) (* -1/4 (pow z 2))))
(+ 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)))
(* 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)))
(* 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))))))
(* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))
(+ (* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))
(* -1/2 (- (pow y 2) y))
(+ (* -1/2 (- (pow y 2) y)) (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))
(+ (* -1/2 (- (pow y 2) y)) (* z (+ (* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* 1/24 (* z (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* z (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z))))
(* 1/24 (* (pow z 2) (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))
(* (pow z 2) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z))))
(* (pow z 2) (+ (* -1/2 (/ (- (pow y 2) y) (pow z 2))) (+ (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z)))))
(* -1 (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) z)) (* -1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (/ (- (pow y 2) y) z))) z)) (* 1/24 (+ y (+ (* -7 (pow y 2)) (+ (* -6 (pow y 4)) (* 12 (pow y 3))))))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(+ 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 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (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 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (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)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (fma.f64 (/.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)))) t) 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 (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y z)
(*.f64 z y)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(* -7 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -7 binary64))
(* (pow y 2) (- (* 12 y) 7))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 12 binary64) y) #s(literal 7 binary64)) y) y)
y
(* y (+ 1 (* -3 y)))
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 2 y) 3))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* -7 y)))
(*.f64 (fma.f64 #s(literal -7 binary64) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 12 y) 7))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 12 binary64) y) #s(literal 7 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 12 (* -6 y))) 7))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -6 binary64) y #s(literal 12 binary64)) y) #s(literal 7 binary64)) y #s(literal 1 binary64)) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* -1/2 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(* y (+ 1/6 (* 1/24 z)))
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rewrite327.0ms (2.2%)

Memory
-1.3MiB live, 331.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059413
099413
1383413
23190413
08715393
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 362
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)
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(fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64)))
Outputs
(/.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 #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 #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)) (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 (/.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)))
#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) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t))
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t))
(/.f64 (expm1.f64 z) t)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) t))
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))
(-.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (neg.f64 t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
(neg.f64 (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) t))
(neg.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (neg.f64 t)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t) x) (*.f64 x x))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) (neg.f64 t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
(neg.f64 (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))) t))
(neg.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))
(*.f64 (expm1.f64 z) y)
(*.f64 y (*.f64 (expm1.f64 z) #s(literal 1 binary64)))
(*.f64 y (expm1.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) y) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 y (expm1.f64 (+.f64 z z))) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) (neg.f64 t))
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(neg.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) t))
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) (neg.f64 t)))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -343 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) #s(literal 12 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) #s(literal 12 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1728 binary64)))) (pow.f64 (fma.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) #s(literal 12 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -7 binary64) (*.f64 y y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 12 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal -343 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -1728 binary64) (pow.f64 y #s(literal 9 binary64)))) (fma.f64 #s(literal 49 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -7 binary64) (*.f64 y y)) (*.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 3 binary64)))))))
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eval91.0ms (0.6%)

Memory
41.2MiB live, 179.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 35 434 to 4 148 computations (88.3% saved)

prune143.0ms (1%)

Memory
-31.6MiB live, 72.5MiB allocated; 21ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New48410494
Fresh6612
Picked145
Done000
Total49120511
Accuracy
99.7%
Counts
511 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶40.9%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
40.9%
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
✓82.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
▶68.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
70.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
15.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
80.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t))
50.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
50.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
✓83.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓70.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶82.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
57.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
✓84.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶72.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
65.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
63.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
▶57.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
77.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
Compiler

Compiled 1 310 to 885 computations (32.4% saved)

simplify273.0ms (1.8%)

Memory
23.3MiB live, 194.2MiB allocated; 34ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
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 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
cost-diff0
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
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
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
cost-diff2
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058596
097596
1159592
2378586
31259586
45732586
08827554
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t)
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(pow.f64 (expm1.f64 z) #s(literal 3 binary64))
(expm1.f64 z)
z
#s(literal 3 binary64)
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (expm1.f64 z) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
t
(/.f64 (expm1.f64 z) 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
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)
(*.f64 (-.f64 y (*.f64 y y)) z)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
z
t
#s(literal -1/2 binary64)
(/.f64 y t)
x
(-.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
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
#s(literal 2 binary64)
(+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)) (/.f64 y t))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)) (/.f64 y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
(*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)) (/.f64 y t))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t))
(/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)) t)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t)
(*.f64 (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(pow.f64 (expm1.f64 z) #s(literal 3 binary64))
(expm1.f64 z)
z
#s(literal 3 binary64)
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 z) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
t
(/.f64 (expm1.f64 z) 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
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)
(*.f64 (-.f64 y (*.f64 y y)) z)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
z
t
#s(literal -1/2 binary64)
(/.f64 y t)
x
(-.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
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
#s(literal 2 binary64)
(+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)

localize511.0ms (3.4%)

Memory
-13.2MiB live, 370.9MiB allocated; 84ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.1015583716604118
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
accuracy3.6408162599876603
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
accuracy30.233389480270535
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
accuracy35.83074544196428
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy3.6408162599876603
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy15.262038274980176
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy35.83074544196428
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy3.8163897366416464
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
accuracy4.947638762661605
(*.f64 (-.f64 y (*.f64 y y)) z)
accuracy6.192117611689123
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)
accuracy22.786473959685626
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy3.613066475149187
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy13.441404565296306
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy20.348800275349976
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy2.1760392103508517
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
accuracy2.38528387089852
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
accuracy4.349499337370321
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t)
accuracy12.597249842120267
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y))
Samples
355.0ms178×1valid
85.0ms47×2valid
11.0ms30×0valid
1.0ms1×1exit
Compiler

Compiled 478 to 50 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 382.0ms
ival-log: 93.0ms (24.3% of total)
ival-exp: 87.0ms (22.8% of total)
ival-div: 70.0ms (18.3% of total)
adjust: 42.0ms (11% of total)
ival-mult: 35.0ms (9.2% of total)
ival-add: 14.0ms (3.7% of total)
ival-sub: 12.0ms (3.1% of total)
ival-pow: 12.0ms (3.1% of total)
ival-pow2: 10.0ms (2.6% of total)
const: 4.0ms (1% of total)
ival-expm1: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series193.0ms (1.3%)

Memory
11.4MiB live, 204.0MiB allocated; 56ms collecting garbage
Counts
26 → 208
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.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)))
#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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
(-.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)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t)
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)
(*.f64 (-.f64 y (*.f64 y y)) z)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (pow t 2)))
(- (pow x 2) (/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (pow t 2)))
(pow x 2)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* (pow x 2) (+ 1 (* -1 (/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (* (pow t 2) (pow x 2))))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(- (/ (exp z) t) (/ 1 t))
(- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))
(- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))
(* -1/2 (pow (- (exp z) 1) 2))
(+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3))))
(+ 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)))
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(+ x (* 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 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* -1/2 (/ (* y z) t))
(* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* 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))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* y (- (+ (* y (- (* -1 (/ (pow (- (exp z) 1) 2) (* (pow t 2) x))) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (* (- (/ 1 t) (/ (exp z) t)) (- (/ (exp z) t) (/ 1 t))) x)))) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (+ (* -1 (/ (pow (- (exp z) 1) 2) (* (pow t 2) x))) (* y (- (/ (pow (- (exp z) 1) 3) (* (pow t 2) x)) (+ (* -1/2 (/ (* (pow (- (exp z) 1) 2) (- (/ 1 t) (/ (exp z) t))) (* t x))) (+ (* 1/3 (/ (pow (- (exp z) 1) 3) t)) (/ (* (- (* -1 (/ (pow (- (exp z) 1) 2) (* (pow t 2) x))) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (* (- (/ 1 t) (/ (exp z) t)) (- (/ (exp z) t) (/ 1 t))) x))) (- (/ (exp z) t) (/ 1 t))) x)))))) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (* (- (/ 1 t) (/ (exp z) t)) (- (/ (exp z) t) (/ 1 t))) x)))) (/ 1 t)) (/ (exp z) t))))
(+ (* -1 (/ (* (pow y 2) (pow (- (exp z) 1) 2)) (pow t 2))) (pow x 2))
(+ (* (pow y 2) (- (/ (* y (pow (- (exp z) 1) 3)) (pow t 2)) (/ (pow (- (exp z) 1) 2) (pow t 2)))) (pow x 2))
(+ (* (pow y 2) (- (* y (- (* -1 (* y (+ (* 1/4 (/ (pow (- (exp z) 1) 4) (pow t 2))) (* 2/3 (/ (pow (- (exp z) 1) 4) (pow t 2)))))) (* -1 (/ (pow (- (exp z) 1) 3) (pow t 2))))) (/ (pow (- (exp z) 1) 2) (pow t 2)))) (pow x 2))
(/ (* (pow y 2) (pow (- (exp z) 1) 2)) (pow t 2))
(* (pow y 2) (+ (* -1 (/ (* y (pow (- (exp z) 1) 3)) (pow t 2))) (/ (pow (- (exp z) 1) 2) (pow t 2))))
(* (pow y 2) (+ (* y (+ (* -1 (/ (pow (- (exp z) 1) 3) (pow t 2))) (* y (+ (* 1/4 (/ (pow (- (exp z) 1) 4) (pow t 2))) (* 2/3 (/ (pow (- (exp z) 1) 4) (pow t 2))))))) (/ (pow (- (exp z) 1) 2) (pow t 2))))
(* (pow y 2) (+ (* y (+ (* -1 (/ (pow (- (exp z) 1) 3) (pow t 2))) (* y (+ (* 1/4 (/ (pow (- (exp z) 1) 4) (pow t 2))) (+ (* 2/3 (/ (pow (- (exp z) 1) 4) (pow t 2))) (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 5) (pow t 2))) (* -1/3 (/ (pow (- (exp z) 1) 5) (pow t 2)))))))))) (/ (pow (- (exp z) 1) 2) (pow t 2))))
(* -1/2 (/ (pow (- (exp z) 1) 2) t))
(+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))
(* y (- (/ (exp z) t) (/ 1 t)))
(/ (* y z) t)
(* y (+ (* -1 (/ (* y z) t)) (/ z t)))
(* y z)
(* y (+ z (* -1 (* y z))))
(* 1/3 (/ (* (pow y 2) (pow (- (exp z) 1) 3)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (* 1/3 (/ (pow (- (exp z) 1) 3) t))))
(* (pow y 2) (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (+ (* 1/3 (/ (pow (- (exp z) 1) 3) t)) (/ (exp z) (* t (pow y 2))))) (/ 1 (* t (pow y 2)))))
(* 1/3 (* y (pow (- (exp z) 1) 3)))
(* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) y)) (* 1/3 (pow (- (exp z) 1) 3))))
(- 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) (pow z 2)) t))
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)))
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))))
(* 1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))
(* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z 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))
(/ (- (pow x 2) (/ (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow t 2))) (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))))
(- (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 y)) (* (pow t 2) (- (exp z) 1)))) (* 2 (/ (log (- (exp z) 1)) (* (pow t 2) (- (exp z) 1))))) (* y (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))))) (+ (/ (pow x 2) (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))) (/ (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (* (pow t 3) (* y (* (pow (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) 2) (- (exp z) 1))))))) (+ (/ (pow x 2) (* t (* y (* (pow (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t))) 2) (- (exp z) 1))))) (/ (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (* (pow t 2) (+ x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))))))
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Calls

12 calls:

TimeVariablePointExpression
43.0ms
t
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40.0ms
t
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20.0ms
z
@inf
((+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x)) (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2) (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (log (+ (- 1 y) (* y (exp z)))) (/ (log (+ (- 1 y) (* y (exp z)))) t))
19.0ms
y
@inf
((+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x)) (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2) (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (log (+ (- 1 y) (* y (exp z)))) (/ (log (+ (- 1 y) (* y (exp z)))) t))
15.0ms
t
@inf
((+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -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) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (* (/ (* (- y (* y y)) z) t) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (/ (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (+ (/ (log (+ (- 1 y) (* y (exp z)))) t) x)) (- (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2)) (* x x) (pow (/ (log (+ (- 1 y) (* y (exp z)))) t) 2) (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/ (* (- y (* y y)) z) t) (* (- y (* y y)) z) (log (+ (- 1 y) (* y (exp z)))) (/ (log (+ (- 1 y) (* y (exp z)))) t))

simplify221.0ms (1.5%)

Memory
-0.8MiB live, 229.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011268913
138318473
084357430
Stop Event
1×iter limit
1×node limit
Counts
208 → 207
Calls
Call 1
Inputs
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(pow x 2)
x
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(* (pow z 2) (+ (* z (+ (* z (+ (* 1/4 (/ (pow (+ y (* -1 (pow y 2))) 2) (pow t 2))) (+ (* 1/3 (/ (* y (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow t 2))) (* z (+ (* 1/12 (/ (* y (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow t 2))) (* 1/6 (/ (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow t 2)))))))) (/ (* y (+ y (* -1 (pow y 2)))) (pow t 2)))) (/ (pow y 2) (pow t 2))))
(* -1/2 (/ (pow z 2) t))
(* (pow z 2) (- (* z (- (* 1/3 (/ y t)) (* 1/2 (/ 1 t)))) (* 1/2 (/ 1 t))))
(* (pow z 2) (- (* z (- (+ (* 1/3 (/ y t)) (* z (- (* 1/2 (/ y t)) (* 7/24 (/ 1 t))))) (* 1/2 (/ 1 t)))) (* 1/2 (/ 1 t))))
(* (pow z 2) (- (* z (- (+ (* 1/3 (/ y t)) (* z (- (+ (* 1/2 (/ y t)) (* z (- (* 5/12 (/ y t)) (* 1/8 (/ 1 t))))) (* 7/24 (/ 1 t))))) (* 1/2 (/ 1 t)))) (* 1/2 (/ 1 t))))
(* z (+ (* y (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))))) (/ y t)))
(* z (+ (* z (+ (* y (* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t)))) (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))))) (/ y t)))
(* z (+ (* z (+ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) (* z (+ (* y (* z (+ (* 1/24 (/ 1 t)) (/ (* y (- (* 1/2 y) 7/24)) t)))) (* y (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))))))) (/ y t)))
(/ (* z (- y (pow y 2))) t)
(* z (- y (pow y 2)))
(- (+ (/ (exp z) t) (/ (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3))))) t)) (/ 1 t))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(* (pow z 2) (- (+ (* -1/2 (/ (- y (pow y 2)) t)) (/ x (pow z 2))) (/ y (* t z))))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (- (pow x 2) (/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (pow t 2))) (+ x (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (pow t 2))
(/ (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))) t)
(* y (- (+ (/ (exp z) t) (/ (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3))))) t)) (/ 1 t)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (- y (pow y 2)) t))))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(/ (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (- (* (pow t 2) (pow x 2)) (pow (log (- (+ 1 (* y (exp z))) y)) 2)) (pow t 2))
(/ (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) t)
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ (* -1 (/ (pow (log (- (+ 1 (* y (exp z))) y)) 2) (pow t 2))) (pow x 2))
(* -1 (/ (+ (* -1 (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) (* -1 (- (exp z) 1))) t))
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t)))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(* -1 (/ (* y (+ (* -1 (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) (* -1 (- (exp z) 1)))) t))
Outputs
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(pow x 2)
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x
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(* -1/2 (pow (- (exp z) 1) 2))
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(/ (* y (- (exp z) 1)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
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(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
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(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1 binary64) t)) y)
(* -1/2 (/ (* y z) t))
(*.f64 (*.f64 y (/.f64 z t)) #s(literal -1/2 binary64))
(* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/2 binary64) z)) t) y)
(* y (- (exp z) 1))
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
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1
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(/ (* (pow y 2) (pow (- (exp z) 1) 2)) (pow t 2))
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(* -1 (/ (* y (+ (* -1 (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) (* -1 (- (exp z) 1)))) t))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z))) t))

rewrite636.0ms (4.2%)

Memory
-53.5MiB live, 290.2MiB allocated; 789ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058487
097487
1369477
22940477
08939458
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 379
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.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)))
#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))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t))
(*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64))
(-.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)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t)
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)
(/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t)
(*.f64 (-.f64 y (*.f64 y y)) z)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 y t)) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 z) t) (/.f64 (-.f64 (expm1.f64 z) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) t) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 y t)) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (expm1.f64 z) t) (/.f64 (-.f64 (expm1.f64 z) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) t) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 y t)) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 z) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (expm1.f64 z) t) (/.f64 (-.f64 (expm1.f64 z) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) t) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 y t)) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 z) t) (/.f64 (-.f64 (expm1.f64 z) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) t) (pow.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 y t)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))))) (*.f64 (neg.f64 t) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))))) (*.f64 (neg.f64 t) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 (expm1.f64 z))))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (*.f64 t t) (*.f64 (neg.f64 t) (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))))) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t) (*.f64 (neg.f64 t) (expm1.f64 (+.f64 z z)))) (*.f64 (neg.f64 t) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (*.f64 (neg.f64 t) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (*.f64 (neg.f64 t) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 (expm1.f64 z)))) (*.f64 t t))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) y) t (*.f64 (neg.f64 t) (expm1.f64 z))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))))) (*.f64 (neg.f64 t) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))))) (*.f64 (neg.f64 t) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 (expm1.f64 z))))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (*.f64 t t) (*.f64 (neg.f64 t) (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))))) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t) (*.f64 (neg.f64 t) (expm1.f64 (+.f64 z z)))) (*.f64 (neg.f64 t) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (*.f64 (neg.f64 t) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (*.f64 (neg.f64 t) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 (expm1.f64 z)))) (*.f64 t t))
(/.f64 (fma.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))) t (*.f64 (neg.f64 t) (expm1.f64 z))) (*.f64 (neg.f64 t) t))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))))) (*.f64 (neg.f64 t) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))) (*.f64 (neg.f64 t) (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))))) (*.f64 (neg.f64 t) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 (expm1.f64 z))))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (*.f64 t t) (*.f64 (neg.f64 t) (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))))) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t) (*.f64 (neg.f64 t) (expm1.f64 (+.f64 z z)))) (*.f64 (neg.f64 t) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t) (*.f64 (neg.f64 t) (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (*.f64 (neg.f64 t) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
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(*.f64 (fabs.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))) (fabs.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))))) (fabs.f64 (neg.f64 (neg.f64 t))))
(/.f64 (fabs.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) (fabs.f64 (neg.f64 t)))
(/.f64 (fabs.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) (fabs.f64 t))
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))))) (exp.f64 (log.f64 (neg.f64 t))))
(/.f64 (exp.f64 (log.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) (exp.f64 (log.f64 t)))
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) (neg.f64 t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(neg.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) t))
(neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) (neg.f64 t)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))) t))
(fabs.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) (neg.f64 t)))
(fabs.f64 (neg.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))
(fabs.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))
(+.f64 (cosh.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))) (sinh.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))

eval131.0ms (0.9%)

Memory
40.7MiB live, 177.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 34 898 to 3 509 computations (89.9% saved)

prune115.0ms (0.8%)

Memory
-27.0MiB live, 73.8MiB allocated; 59ms collecting garbage
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New59012602
Fresh2911
Picked235
Done044
Total59428622
Accuracy
99.9%
Counts
622 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓40.9%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
33.4%
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)))
✓82.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
✓68.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
70.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶15.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
80.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t))
50.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
✓83.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓70.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶82.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
▶57.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
✓84.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓72.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
65.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
61.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
63.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
62.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
▶53.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
24.9%
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))))
77.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
▶70.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
53.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
11.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (-.f64 x (/.f64 (neg.f64 (log.f64 y)) (neg.f64 t))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))))
65.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
55.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
2.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
Compiler

Compiled 2 069 to 1 313 computations (36.5% saved)

simplify166.0ms (1.1%)

Memory
24.4MiB live, 198.4MiB allocated; 56ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
cost-diff2
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
cost-diff2
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
cost-diff0
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
cost-diff0
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
cost-diff0
(/.f64 (neg.f64 y) t)
cost-diff0
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
cost-diff0
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
cost-diff0
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
cost-diff2
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079761
0123749
1224742
2558733
32131728
08207684
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t)
(fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z))
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)
(pow.f64 (expm1.f64 z) #s(literal 3 binary64))
(expm1.f64 z)
z
#s(literal 3 binary64)
y
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (expm1.f64 z) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
z
x
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
z
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
#s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
(*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t)))
y
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
t
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(log.f64 y)
y
(log.f64 (expm1.f64 z))
(expm1.f64 z)
z
t
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
(*.f64 (/.f64 y t) (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t)
(/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z)) t)
(fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z))
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (expm1.f64 z))
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)
(pow.f64 (expm1.f64 z) #s(literal 3 binary64))
(expm1.f64 z)
z
#s(literal 3 binary64)
y
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 z) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
z
x
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
y
#s(literal 1/2 binary64)
z
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z y) y) t) z))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z y) y) t) z)))
#s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))
#s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z y) y) t) z))
(*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z y) y) t) z)
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) (*.f64 z y) y) t)
(*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t)))
(*.f64 (/.f64 y t) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))))
y
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
t
z
(/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(log.f64 y)
y
(log.f64 (expm1.f64 z))
(expm1.f64 z)
z
t

localize299.0ms (2%)

Memory
-10.7MiB live, 319.1MiB allocated; 52ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(expm1.f64 z)
accuracy0.11015497009701705
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
accuracy0.5346990161925859
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
accuracy9.4432840050088
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
accuracy1.2036800282913136
(*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)
accuracy1.4460670894521435
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
accuracy3.5427693671694858
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
accuracy4.038534532691877
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
accuracy0.4923906587542134
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
accuracy1.1656844757425584
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
accuracy1.8687623745787072
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
accuracy4.196620713369822
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
accuracy0.0
(neg.f64 y)
accuracy0.4728594087542134
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
accuracy3.6841874601041593
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
accuracy4.326756961508241
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
accuracy0.4853761966116388
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t)
accuracy1.200661833285664
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
accuracy1.9088839895514298
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)
accuracy4.038534532691877
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
Samples
128.0ms200×0invalid
55.0ms44×1valid
17.0ms10×2valid
1.0ms1×1exit
0.0ms1×0valid
Compiler

Compiled 574 to 71 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 42.0ms (30.2% of total)
ival-div: 21.0ms (15.1% of total)
adjust: 15.0ms (10.8% of total)
ival-add: 15.0ms (10.8% of total)
ival-log: 14.0ms (10.1% of total)
ival-sub: 7.0ms (5% of total)
const: 7.0ms (5% of total)
ival-exp: 5.0ms (3.6% of total)
ival-pow: 5.0ms (3.6% of total)
ival-pow2: 3.0ms (2.2% of total)
ival-expm1: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series356.0ms (2.4%)

Memory
8.9MiB live, 394.9MiB allocated; 97ms collecting garbage
Counts
26 → 215
Calls
Call 1
Inputs
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
(/.f64 (neg.f64 y) t)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t)
(neg.f64 y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)
(expm1.f64 z)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1/2 (pow (- (exp z) 1) 2))
(+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3))))
(+ 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)))
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(+ x (* 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 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* -1 (/ y t))
(/ (* y (* z (+ 1 (* 1/2 z)))) t)
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (/ (* z (+ 1 (* 1/2 z))) t)))
(/ (* y (+ 1 (* 1/2 z))) t)
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* y (+ (* y (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t))))) (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
(* y (+ (* y (+ (* 1/3 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))))) (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
(+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))
(+ (* 1/6 (/ z t)) (+ (* 1/2 (/ 1 t)) (* y (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t))))))
(+ (* 1/6 (/ z t)) (+ (* 1/2 (/ 1 t)) (* y (- (+ (* -1/2 (/ z t)) (* 1/3 (/ (* y z) 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))
(+ (log y) (log (- (exp z) 1)))
(* y (pow (- (exp z) 1) 3))
(/ (- (exp z) 1) t)
(- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))
(- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))
(* -1 y)
(* y (+ 1 (* 1/2 z)))
(* y (+ 1 (+ (* -1/2 (* y z)) (* 1/2 z))))
(* y (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
(* y (+ (* y (* (pow z 2) (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t))))) (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))))
(* y (+ (* y (+ (* 1/3 (/ (* y (pow z 3)) t)) (* (pow z 2) (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))))) (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))))
(* 1/3 (* y (pow (- (exp z) 1) 3)))
(* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) y)) (* 1/3 (pow (- (exp z) 1) 3))))
(- 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))))))
(* 1/3 (/ (* (pow y 3) (pow (- (exp z) 1) 3)) t))
(* (pow y 3) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (* 1/3 (/ (pow (- (exp z) 1) 3) t))))
(* (pow y 3) (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (+ (* 1/3 (/ (pow (- (exp z) 1) 3) t)) (/ (exp z) (* t (pow y 2))))) (/ 1 (* t (pow y 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)))
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))))
(* 1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))
(* -1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ 1 (* 1/2 z))) (* t y))))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* 1/3 (/ (* (pow y 3) (pow z 2)) t))
(* (pow y 3) (+ (* 1/3 (/ (pow z 2) t)) (/ (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))) y)))
(* (pow y 3) (+ (* 1/3 (/ (pow z 2) t)) (+ (/ 1 (* t (pow y 2))) (+ (/ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))) y)))))
(* 1/3 (/ (* (pow y 2) z) t))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/3 (/ z t))) (/ 1/2 (* t y))))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (+ (* 1/6 (/ z (* t (pow y 2)))) (+ (* 1/3 (/ z t)) (* 1/2 (/ 1 (* t (pow y 2))))))) (/ 1/2 (* t y))))
(+ (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)))))
(* 1/3 (/ (* (pow y 2) (pow (- (exp z) 1) 3)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (* 1/3 (/ (pow (- (exp z) 1) 3) t))))
(* (pow y 2) (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t y))) (+ (* 1/3 (/ (pow (- (exp z) 1) 3) t)) (/ (exp z) (* t (pow y 2))))) (/ 1 (* t (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (* 1/2 (/ z y)) (/ 1 y))))
(* 1/3 (/ (* (pow y 3) (pow z 3)) t))
(* (pow y 3) (+ (* 1/3 (/ (pow z 3) t)) (/ (* (pow z 2) (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))) y)))
(* (pow y 3) (+ (* 1/3 (/ (pow z 3) t)) (+ (/ (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) (pow y 2)) (/ (* (pow z 2) (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))) y))))
(* -1 (* y (+ (* -1/3 (pow (- (exp z) 1) 3)) (* 1/2 (/ (pow (- (exp z) 1) 2) 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 (* (pow y 3) (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) (* t y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (exp z) (* t y))) (/ 1 (* t y))) y)) (* -1/3 (/ (pow (- (exp z) 1) 3) t)))))
(* (pow y 2) (+ (* -1 (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)) (* 1/2 (/ (pow z 2) t))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) y)) (* 1/2 (/ (pow z 2) t))))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) (* t y))) (* -1/2 (/ (pow z 2) t))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ z t))))
(* -1 (* (pow y 3) (+ (* -1/3 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (* 1/2 (/ 1 t)))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* z (+ (* 1/2 (/ z t)) (* 1/2 (/ 1 t))))) (* -1 (/ (- (* -1 (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t))))) (/ 1 t)) y))) y)) (* -1/3 (/ (pow z 2) t)))))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (* 1/2 (/ 1 t))) y)) (* 1/3 (/ z t))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t))) y)) (+ (* 1/2 (/ 1 t)) (* 1/2 (/ z t)))) y)) (* 1/3 (/ 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))))
(+ (log -1) (+ (log (- (exp z) 1)) (* -1 (log (/ -1 y)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (exp z) t) (/ 1 t)) y)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))) y)) (* 1/3 (/ (pow (- (exp z) 1) 3) t))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z)))
(* -1 (* (pow y 3) (+ (* -1/3 (/ (pow z 3) t)) (/ (* (pow z 2) (+ (* 1/2 (/ z t)) (* 1/2 (/ 1 t)))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* (pow z 2) (+ (* 1/2 (/ z t)) (* 1/2 (/ 1 t))))) (* -1 (/ (* z (- (* -1 (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t))))) (/ 1 t))) y))) y)) (* -1/3 (/ (pow z 3) t)))))
(* -1/2 (pow z 2))
(* (pow z 2) (- (* z (- (* 1/3 y) 1/2)) 1/2))
(* (pow z 2) (- (* z (- (+ (* 1/3 y) (* z (- (* 1/2 y) 7/24))) 1/2)) 1/2))
(* (pow z 2) (- (* z (- (+ (* 1/3 y) (* z (- (+ (* 1/2 y) (* z (- (* 5/12 y) 1/8))) 7/24))) 1/2)) 1/2))
(+ 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)))
(* z (+ (/ y t) (/ (* y (* z (+ 1/2 (* -1/2 y)))) t)))
(* z (+ (* z (+ (/ (* y (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) t) (/ (* y (+ 1/2 (* -1/2 y))) t))) (/ y t)))
(* z (+ (* z (+ (* z (+ (/ (* y (* z (+ 1/24 (* y (- (* 1/2 y) 7/24))))) t) (/ (* y (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t))) (/ (* y (+ 1/2 (* -1/2 y))) t))) (/ y t)))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t)))))
(- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))
(/ y t)
(+ (/ y t) (/ (* y (* z (+ 1/2 (* -1/2 y)))) t))
(+ (* y (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))))) (/ y t))
(+ (* z (+ (* y (* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t)))) (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))))) (/ y t))
(+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))
(+ (* -1/2 (/ y t)) (+ (* 1/2 (/ 1 t)) (* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) 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)))))))))))
(+ (log y) (log z))
(+ (log y) (+ (log z) (* 1/2 z)))
(+ (log y) (+ (log z) (* z (+ 1/2 (* 1/24 z)))))
(+ (log y) (+ (log z) (* z (+ 1/2 (* z (+ 1/24 (* -1/2880 (pow z 2))))))))
(* y (pow z 3))
(* (pow z 3) (+ y (* 3/2 (* y z))))
(* (pow z 3) (+ y (* z (+ (* 5/4 (* y z)) (* 3/2 y)))))
(* (pow z 3) (+ y (* z (+ (* 3/2 y) (* z (+ (* 3/4 (* y z)) (* 5/4 y)))))))
(/ z t)
(* z (+ (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* -1/2 (/ y t)) (+ (* 1/2 (/ 1 t)) (* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t)))))) (/ 1 t)))
(* z (+ (* z (+ (* -1/2 (/ y t)) (+ (* 1/2 (/ 1 t)) (* z (+ (* 1/6 (/ 1 t)) (+ (* z (+ (* 1/24 (/ 1 t)) (/ (* y (- (* 1/2 y) 7/24)) t))) (/ (* y (- (* 1/3 y) 1/2)) t))))))) (/ 1 t)))
y
(+ y (* y (* z (+ 1/2 (* -1/2 y)))))
(* z (+ (* y (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))))) (/ y t)))
(* z (+ (* z (+ (* y (* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t)))) (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 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)))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1)) t)
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(* (pow z 2) (- (+ (* -1/2 (/ (- y (pow y 2)) t)) (/ x (pow z 2))) (/ y (* t z))))
(* -1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(/ (* y (* (pow z 2) (+ 1/2 (* -1/2 y)))) t)
(* (pow z 2) (+ (/ y (* t z)) (/ (* y (+ 1/2 (* -1/2 y))) t)))
(/ (* y (* z (+ 1/2 (* -1/2 y)))) t)
(* z (+ (/ y (* t z)) (/ (* y (+ 1/2 (* -1/2 y))) t)))
(* y (* (pow z 2) (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))))
(* (pow z 2) (+ (* y (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))) (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z)))
(* (pow z 2) (+ (* y (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))) (+ (/ y (* t (pow z 2))) (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z))))
(* z (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t)))
(* z (+ (* -1/2 (/ y (* t z))) (+ (* 1/6 (/ 1 t)) (+ (/ 1/2 (* t z)) (/ (* y (- (* 1/3 y) 1/2)) t)))))
(log (- (+ 1 (* y (exp z))) y))
(/ (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1) t)
(* y (* z (+ 1/2 (* -1/2 y))))
(* z (+ (* y (+ 1/2 (* -1/2 y))) (/ y z)))
(* y (* (pow z 3) (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))))
(* (pow z 3) (+ (* y (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))) (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z)))
(* (pow z 3) (+ (* y (+ (* 1/6 (/ 1 t)) (/ (* y (- (* 1/3 y) 1/2)) t))) (+ (/ y (* t (pow z 2))) (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z))))
(- (exp z) 1)
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (- y (pow y 2)) t))))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) t)))))
(/ (* y (* (pow z 2) (+ 1/6 (* y (- (* 1/3 y) 1/2))))) t)
(* (pow z 2) (+ (/ (* y (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t) (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))))) (* -1 (/ y (* t z)))) z)) (/ (* y (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t)))
(/ (* z (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t)
(* -1 (* z (+ (* -1 (/ (+ 1/6 (* y (- (* 1/3 y) 1/2))) t)) (* -1 (/ (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t))) z)))))
(* -1 (* z (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* -1 (/ y z)))))
(/ (* y (* (pow z 3) (+ 1/6 (* y (- (* 1/3 y) 1/2))))) t)
(* -1 (* (pow z 3) (+ (* -1 (/ (* y (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t)) (* -1 (/ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) z)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (* y (+ 1/6 (* y (- (* 1/3 y) 1/2)))) t)) (* -1 (/ (+ (* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) (/ y (* t z))) z)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (+ (* t x) (* z (- (* -1/2 (* z (- y (pow y 2)))) y))) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(/ (* z (+ y (* y (* z (+ 1/2 (* -1/2 y)))))) t)
(/ (+ y (* y (* z (+ 1/2 (* -1/2 y))))) t)
(/ (+ y (* y (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))))))) t)
(/ (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* y (- (* 1/3 y) 1/2)))))) t)
(/ (* z (+ y (* y (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* y (- (* 1/3 y) 1/2)))))))))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t)))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(* -1 (/ (+ (* -1 y) (* y (* z (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y))))))) t))
(* -1 (/ (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y)))) t))
(* -1 (/ (* z (+ (* -1 y) (* y (* z (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y)))))))) t))
Calls

12 calls:

TimeVariablePointExpression
112.0ms
y
@-inf
((+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (- 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)))) (+ (log y) (log (- (exp z) 1))) (* (pow (- (exp z) 1) 3) y) (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) (neg y) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) z) (- (exp z) 1))
53.0ms
z
@inf
((+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (- 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)))) (+ (log y) (log (- (exp z) 1))) (* (pow (- (exp z) 1) 3) y) (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) (neg y) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) z) (- (exp z) 1))
40.0ms
t
@0
((+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (- 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)))) (+ (log y) (log (- (exp z) 1))) (* (pow (- (exp z) 1) 3) y) (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) (neg y) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) z) (- (exp z) 1))
37.0ms
z
@-inf
((+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (- 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)))) (+ (log y) (log (- (exp z) 1))) (* (pow (- (exp z) 1) 3) y) (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) (neg y) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) z) (- (exp z) 1))
35.0ms
y
@0
((+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/ (neg y) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (- 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)))) (+ (log y) (log (- (exp z) 1))) (* (pow (- (exp z) 1) 3) y) (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) (neg y) (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (* (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) z) (- (exp z) 1))

simplify197.0ms (1.3%)

Memory
7.5MiB live, 240.6MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09004784
132614484
082023962
Stop Event
1×iter limit
1×node limit
Counts
215 → 212
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(+ x (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* z (- y (pow y 2))) t)) (/ y t))) x)) 1)))
(* -1/2 (pow (- (exp z) 1) 2))
(+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3))))
(+ 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)))
(+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(+ x (* 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 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* -1 (/ y t))
(/ (* y (* z (+ 1 (* 1/2 z)))) t)
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (/ (* z (+ 1 (* 1/2 z))) t)))
(/ (* y (+ 1 (* 1/2 z))) t)
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* y (+ (* y (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t))))) (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
(* y (+ (* y (+ (* 1/3 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t)))))) (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
(+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))
(+ (* 1/6 (/ z t)) (+ (* 1/2 (/ 1 t)) (* y (- (* -1/2 (/ z t)) (* 1/2 (/ 1 t))))))
(+ (* 1/6 (/ z t)) (+ (* 1/2 (/ 1 t)) (* y (- (+ (* -1/2 (/ z t)) (* 1/3 (/ (* y z) 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))
(+ (log y) (log (- (exp z) 1)))
(* y (pow (- (exp z) 1) 3))
(/ (- (exp z) 1) t)
(- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))
(- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t))
(* -1 y)
(* y (+ 1 (* 1/2 z)))
(* y (+ 1 (+ (* -1/2 (* y z)) (* 1/2 z))))
(* y (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))))
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(*.f64 z (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (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 (*.f64 (exp.f64 z) y) y)) t))
(+ x (/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) z x)
(+ x (* -1 (/ (* z (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y))) t)))
(-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) t))
(* -1 (/ (- (* 1/2 (* z (- y (pow y 2)))) (* -1 y)) t))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) (neg.f64 t))
(* -1 (/ (+ (* -1 y) (* y (* z (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y))))))) t))
(/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))
(* -1 (/ (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y)))) t))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) (neg.f64 t))
(* -1 (/ (* z (+ (* -1 y) (* y (* z (+ (* -1 (* z (+ 1/6 (* y (- (* 1/3 y) 1/2))))) (* -1 (+ 1/2 (* -1/2 y)))))))) t))
(*.f64 (neg.f64 z) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) t))

rewrite233.0ms (1.6%)

Memory
13.5MiB live, 195.0MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079569
0123557
1508546
23870546
08316531
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 339
Calls
Call 1
Inputs
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x)
#s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t))
(/.f64 (neg.f64 y) t)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t)
(fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t))
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t)
(neg.f64 y)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y)
(*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z)
(expm1.f64 z)
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 3 binary64)) (neg.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (fma.f64 (pow.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)))) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)))) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (expm1.f64 z) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (expm1.f64 z) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z))) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z))) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (expm1.f64 z) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (expm1.f64 z) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (expm1.f64 z)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (expm1.f64 z)) (expm1.f64 z) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (fabs.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (fabs.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) y))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/3 binary64) y)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))))
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(*.f64 (fma.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) (/.f64 y t)) z)
(*.f64 z (fma.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) (/.f64 y t)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) z) (-.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (/.f64 y t)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 3 binary64))) z) (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t))) (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (/.f64 y t)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 3 binary64)))) (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t))) (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z (*.f64 (/.f64 y t) z))
(fma.f64 (/.f64 y t) z (*.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z))
(fma.f64 z (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (*.f64 z (/.f64 y t)))
(fma.f64 z (/.f64 y t) (*.f64 z (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t))))
(+.f64 (*.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z) (*.f64 (/.f64 y t) z))
(+.f64 (*.f64 (/.f64 y t) z) (*.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t))) (*.f64 z (/.f64 y t)))
(+.f64 (*.f64 z (/.f64 y t)) (*.f64 z (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t))))
(*.f64 (fabs.f64 (sqrt.f64 (expm1.f64 z))) (fabs.f64 (sqrt.f64 (expm1.f64 z))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (expm1.f64 z)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 z)) (sqrt.f64 (expm1.f64 z)))
(pow.f64 (sqrt.f64 (expm1.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (expm1.f64 z) #s(literal 1 binary64))
(/.f64 (fabs.f64 (neg.f64 (expm1.f64 (+.f64 z z)))) (fabs.f64 (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))))
(/.f64 (fabs.f64 (expm1.f64 (+.f64 z z))) (fabs.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (expm1.f64 (+.f64 z z)))) (exp.f64 (log1p.f64 (exp.f64 z))))
(/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(expm1.f64 z)
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 z) #s(literal 1 binary64))
(fabs.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)))
(fabs.f64 (neg.f64 (expm1.f64 z)))
(fabs.f64 (expm1.f64 z))
(exp.f64 (log.f64 (expm1.f64 z)))
(+.f64 (cosh.f64 (log.f64 (expm1.f64 z))) (sinh.f64 (log.f64 (expm1.f64 z))))
(+.f64 (cosh.f64 z) (-.f64 (sinh.f64 z) #s(literal 1 binary64)))

eval166.0ms (1.1%)

Memory
-5.2MiB live, 231.7MiB allocated; 53ms collecting garbage
Compiler

Compiled 35 090 to 4 003 computations (88.6% saved)

prune60.0ms (0.4%)

Memory
15.4MiB live, 118.8MiB allocated; 8ms collecting garbage
Pruning

34 alts after pruning (26 fresh and 8 done)

PrunedKeptTotal
New62315638
Fresh51116
Picked325
Done167
Total63234666
Accuracy
99.9%
Counts
666 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t) x))
33.4%
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)))
✓82.6%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
✓68.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
70.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
33.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (log1p.f64 (exp.f64 z)))) t))
80.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)) t))
50.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
✓83.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓70.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
33.8%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))
15.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (log y) (log (- (exp z) 1))) (+.f64 (log.f64 z) (log.f64 y)))) t))
62.5%
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
✓82.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
62.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
✓84.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
63.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
52.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
✓72.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
65.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
63.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
63.0%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
40.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) z) (-.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (/.f64 y t))))))
56.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) z))))
56.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
56.7%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
77.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
✓70.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
53.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
11.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (-.f64 x (/.f64 (neg.f64 (log.f64 y)) (neg.f64 t))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))))
65.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
55.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
2.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
Compiler

Compiled 3 885 to 1 459 computations (62.4% saved)

regimes153.0ms (1%)

Memory
-20.7MiB live, 169.3MiB allocated; 17ms collecting garbage
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 (/.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (log y) (log (- (exp z) 1))) (+.f64 (log.f64 z) (log.f64 y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) z) (-.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (/.f64 y t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (log1p.f64 (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (-.f64 x (/.f64 (neg.f64 (log.f64 y)) (neg.f64 t))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) t) y (/.f64 (expm1.f64 z) t)) y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y)) y (expm1.f64 z)) y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) y)) t))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

9 calls:

33.0ms
y
28.0ms
(exp.f64 z)
16.0ms
t
14.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
13.0ms
x
Results
AccuracySegmentsBranch
90.6%2(exp.f64 z)
94.1%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
94.1%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.8%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
92.7%4(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.6%2x
95.1%3y
90.6%2z
89.7%3t
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes14.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 (/.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (log y) (log (- (exp z) 1))) (+.f64 (log.f64 z) (log.f64 y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) z) (-.f64 (*.f64 (*.f64 y z) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t)) (/.f64 y t))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (-.f64 (log.f64 (*.f64 y (expm1.f64 (+.f64 z z)))) (log1p.f64 (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 (-.f64 x (/.f64 (neg.f64 (log.f64 y)) (neg.f64 t))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (expm1.f64 z) y) t)) (/.f64 (log.f64 (expm1.f64 z)) t))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t) x)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
95.0%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes32.0ms (0.2%)

Memory
-2.7MiB live, 43.4MiB allocated; 2ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 (/.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (log y) (log (- (exp z) 1))) (+.f64 (log.f64 z) (log.f64 y)))) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))
Calls

4 calls:

10.0ms
y
7.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
7.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
6.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
94.1%5(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
93.8%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
93.8%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.2%3y
Compiler

Compiled 29 to 34 computations (-17.2% saved)

regimes56.0ms (0.4%)

Memory
9.0MiB live, 55.3MiB allocated; 3ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 (/.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (log y) (log (- (exp z) 1))) (+.f64 (log.f64 z) (log.f64 y)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

6 calls:

18.0ms
y
8.0ms
z
8.0ms
(-.f64 x (/.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))))
6.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
87.4%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
84.7%1(exp.f64 z)
86.8%2z
91.0%3y
89.2%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
89.2%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 34 to 44 computations (-29.4% saved)

regimes45.0ms (0.3%)

Memory
-10.3MiB live, 82.0MiB allocated; 13ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 (/.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

5 calls:

13.0ms
y
11.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
7.0ms
t
6.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
6.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
87.6%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
87.6%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
84.7%1t
84.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
86.5%2y
Compiler

Compiled 30 to 38 computations (-26.7% saved)

regimes95.0ms (0.6%)

Memory
-8.6MiB live, 127.1MiB allocated; 18ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) 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 z t)) y)))
Calls

9 calls:

28.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
18.0ms
x
9.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
7.0ms
t
7.0ms
y
Results
AccuracySegmentsBranch
75.6%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
80.8%2(exp.f64 z)
76.1%3t
74.2%2y
77.2%3x
80.9%2z
79.4%5(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
75.3%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
75.3%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes80.0ms (0.5%)

Memory
-13.5MiB live, 98.8MiB allocated; 25ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 z z) t)) #s(literal 1/2 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (*.f64 (/.f64 (*.f64 (*.f64 y y) z) t) #s(literal 1/2 binary64))) z x))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z) y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (+ (* (* (pow (- (exp z) 1) 3) y) 1/3) (* (pow (- (exp z) 1) 2) -1/2)) y) (- (exp z) 1)) t) y) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) z y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y z) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (fma.f64 (*.f64 z y) (-.f64 (*.f64 (/.f64 z t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (+ (* (* (+ (* -1/2 y) 1/2) y) z) y) t) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) y))) t) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z) y (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)) y)))
(-.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)) (/.f64 (*.f64 y z) t) (/.f64 y t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (+ (* (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) z) x) (*.f64 (fma.f64 z (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) #s(literal -1/2 binary64)) y) t) x) #s(literal 1 binary64)) x)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z) y y) t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 #s(approx (+ (* (* y (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t))) z) (/ y t)) (/.f64 (*.f64 y (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)))) z #s(literal -1 binary64))) (neg.f64 t))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1/6 binary64)) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t))) z (/.f64 y t)) z))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 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(approx (+ (* (* 1/24 (+ (+ (* (pow y 4) -6) (+ (* (* y y) -7) (* 12 (pow y 3)))) y)) z) (* (+ (* (* -3 y) y) (+ (* (pow y 3) 2) y)) 1/6)) (*.f64 (fma.f64 (fma.f64 (fma.f64 z (fma.f64 #s(literal -1/4 binary64) y #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) y (-.f64 (*.f64 #s(literal -7/24 binary64) z) #s(literal 1/2 binary64))) y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) y)) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (/ (+ (* (* 1/3 y) (pow (- (exp z) 1) 3)) (* (pow (- (exp z) 1) 2) -1/2)) t) y) (/ (- (exp z) 1) t)) y) (*.f64 (fma.f64 (*.f64 y #s(approx (+ (* (/ (+ (* (- (* 1/3 y) 1/2) y) 1/6) t) z) (/ (+ (* -1/2 y) 1/2) t)) (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) z)) t) (/.f64 #s(literal 1/2 binary64) t)) y (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t)))) z (/.f64 y t)) z))))
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:

21.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
16.0ms
x
7.0ms
t
7.0ms
y
7.0ms
z
Results
AccuracySegmentsBranch
72.2%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
72.2%1y
72.2%1t
72.2%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
72.2%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
72.2%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
72.2%1x
72.2%1(exp.f64 z)
72.2%1z
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes9.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
Calls

9 calls:

1.0ms
z
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
Results
AccuracySegmentsBranch
70.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
70.7%1(exp.f64 z)
70.7%1x
70.7%1t
70.7%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
70.7%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
70.7%1y
70.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
70.7%1z
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch152.0ms (1%)

Memory
-5.4MiB live, 184.5MiB allocated; 17ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
88.0ms
5.259979629842917e+118
9.444311843526971e+120
57.0ms
-4.608187986803238e+106
-1.608123595215744e+100
Samples
82.0ms199×1valid
8.0ms28×1invalid
5.0ms64×0invalid
4.0ms57×0valid
Compiler

Compiled 889 to 716 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-exp: 35.0ms (41.4% of total)
ival-log: 23.0ms (27.2% of total)
adjust: 10.0ms (11.8% of total)
ival-sub: 6.0ms (7.1% of total)
ival-div: 4.0ms (4.7% of total)
ival-mult: 4.0ms (4.7% of total)
ival-add: 3.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch83.0ms (0.6%)

Memory
-17.2MiB live, 129.8MiB allocated; 17ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
77.0ms
9.367186893342256e+38
1.2713840025665797e+45
1.0ms
-4.608187986803238e+106
-1.608123595215744e+100
Samples
57.0ms142×1valid
7.0ms88×0invalid
1.0ms4×1invalid
0.0ms2×0valid
Compiler

Compiled 718 to 631 computations (12.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 18.0ms (32.5% of total)
ival-log: 16.0ms (28.9% of total)
adjust: 10.0ms (18.1% of total)
ival-sub: 4.0ms (7.2% of total)
ival-div: 3.0ms (5.4% of total)
ival-mult: 2.0ms (3.6% of total)
ival-add: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.664535259100372e-15
3.163247441756993e-12
0.0ms
-inf
-0.00011867497227956877
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch58.0ms (0.4%)

Memory
18.0MiB live, 64.2MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.367186893342256e+38
1.2713840025665797e+45
53.0ms
-1.7412254326700082e+171
-1.1572797251594302e+160
Samples
33.0ms82×1valid
7.0ms30×1invalid
6.0ms78×0valid
0.0ms1×0invalid
Compiler

Compiled 738 to 646 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 18.0ms (46.7% of total)
ival-log: 7.0ms (18.2% of total)
adjust: 5.0ms (13% of total)
ival-sub: 3.0ms (7.8% of total)
ival-div: 2.0ms (5.2% of total)
ival-mult: 2.0ms (5.2% of total)
ival-add: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
289.7358027624562
327.9085460296488
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch26.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
-2.8522819788191103e+29
-9.306377410382323e+27
Samples
10.0ms38×1valid
6.0ms74×0valid
2.0ms25×0invalid
Compiler

Compiled 303 to 257 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 6.0ms (44% of total)
ival-sub: 2.0ms (14.7% of total)
adjust: 2.0ms (14.7% of total)
ival-add: 1.0ms (7.3% of total)
ival-div: 1.0ms (7.3% of total)
ival-exp: 1.0ms (7.3% of total)
ival-mult: 1.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify58.0ms (0.4%)

Memory
-14.8MiB live, 30.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102412
1154412
2272412
3552412
41384412
55965412
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1100000000000000033935929724534480707782014521388244978697277517089571172814082152719567568421134390001664 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1120000000000000002145556096022828984561869742537015052491139936351304843108467406676584482521161962356736 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1249999999999999991424773794933776618457399296 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.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)))) (log.f64 (*.f64 y (expm1.f64 z)))) t))))
(if (<=.f64 y #s(literal -54000000000000000040359163202085010931506144624669211864763946279313648514410482207018648671963319981377639032661552124063557523161472774378598994783538188910592 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1249999999999999991424773794933776618457399296 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 300 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -12600000000000000222398775296 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 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)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))
Outputs
(if (<=.f64 y #s(literal -1100000000000000033935929724534480707782014521388244978697277517089571172814082152719567568421134390001664 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1999999999999999960006936694788402363337610385794017036377296623661544829254857450929578869859984879509552150362154074112 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64))) y (expm1.f64 z)) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1120000000000000002145556096022828984561869742537015052491139936351304843108467406676584482521161962356736 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 1249999999999999991424773794933776618457399296 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))))
(if (or (<=.f64 y #s(literal -1120000000000000002145556096022828984561869742537015052491139936351304843108467406676584482521161962356736 binary64)) (not (<=.f64 y #s(literal 1249999999999999991424773794933776618457399296 binary64)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.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))))
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (- (* (/ (* (- y (* y y)) z) t) -1/2) (/ y t)) (/.f64 (neg.f64 y) t)) z x))

derivations879.0ms (5.9%)

Memory
34.5MiB live, 604.4MiB allocated; 178ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06512991
122032816
081012474
079569
0123557
1508546
23870546
08316531
011268913
138318473
084357430
03351597
110791468
240581425
091541220
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 412 to 105 computations (74.5% saved)

preprocess106.0ms (0.7%)

Memory
-7.8MiB live, 83.3MiB allocated; 24ms collecting garbage
Compiler

Compiled 932 to 284 computations (69.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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