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

Time bar (total: 20.4s)

analyze794.0ms (3.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
20.3%18.7%73.3%0.2%0%7.8%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 393.0ms
Operation ival-sub, time spent: 138.0ms, 35.0% of total-time
Operation ival-log, time spent: 92.0ms, 23.0% of total-time
Operation ival-exp, time spent: 81.0ms, 21.0% of total-time
Operation ival-mult, time spent: 34.0ms, 9.0% of total-time
Operation ival-div, time spent: 24.0ms, 6.0% of total-time
Operation ival-add, time spent: 19.0ms, 5.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time

sample7.0s (34.2%)

Results
1.1s4778×256valid
1.7s1823×1024valid
233.0ms1800×256invalid
2.5s1650×8192exit
580.0ms1386×512valid
275.0ms260×2048valid
96.0ms240×512invalid
71.0ms176×1024invalid
1.0ms256infinite
1.0ms512infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
Operation ival-log, time spent: 2.0s, 46.0% of total-time
Operation ival-div, time spent: 726.0ms, 17.0% of total-time
Operation ival-sub, time spent: 524.0ms, 12.0% of total-time
Operation ival-exp, time spent: 516.0ms, 12.0% of total-time
Operation ival-mult, time spent: 251.0ms, 6.0% of total-time
Operation ival-add, time spent: 219.0ms, 5.0% of total-time
Operation const, time spent: 44.0ms, 1.0% of total-time
Bogosity

preprocess1.4s (7%)

Algorithm
egg-herbie
Rules
3184×fma-neg
860×sub-neg
694×fma-define
630×times-frac
618×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16449(3.527112454734184e-54 1.6006185464051662e-166 3.653403758545333e-302 5.393009373468163e-80)0-(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
692(-6.532679154659021e+146 -207.0698364045093 3.464438344446638e-173 1.2182688179784636e-36)0-(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
170-3(1.729950341734035e-92 -5.500292853890969e-60 -8.369376777202781e-262 -3.8512483134737285e-167)(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
00-0-1
00-0-t
00-0-z
00-0-(-.f64 1 y)
00-0-(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
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 1 y) (*.f64 y (exp.f64 z))))sensitivity2131
+.f64(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))cancellation711
/.f64(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)u/n20
(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))underflow49
(exp.f64 z)underflow81
(*.f64 y (exp.f64 z))underflow81
Confusion
Predicted +Predicted -
+950
-13724
Precision
0.40948275862068967
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9500
-137222
Precision?
0.405982905982906
Recall?
1.0
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076912
1161832
2423736
31139734
43217648
55929648
66632648
76888648
87095648
97228648
107300648
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (exp.f64 z) (neg.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) (neg.f64 y) (+.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (/.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (/.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 (neg.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (exp.f64 z) (neg.f64 y)))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) (neg.f64 y) (+.f64 1 y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) t) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t) x)
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (/.f64 y (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 (neg.f64 z))))) t) x)
(-.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 y (exp.f64 z)) y)) t) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 (neg.f64 z)))) t) x)
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 (exp.f64 z) -1))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) -1))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (exp.f64 y) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 (exp.f64 z) -1))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 t) -1))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))
Compiler

Compiled 154 to 80 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 817.0ms
Operation ival-log, time spent: 454.0ms, 56.0% of total-time
Operation ival-exp, time spent: 196.0ms, 24.0% of total-time
Operation ival-sub, time spent: 90.0ms, 11.0% of total-time
Operation ival-add, time spent: 33.0ms, 4.0% of total-time
Operation ival-div, time spent: 25.0ms, 3.0% of total-time
Operation ival-mult, time spent: 13.0ms, 2.0% of total-time
Operation const, time spent: 7.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 47 to 28 computations (40.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize184.0ms (0.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (*.f64 y (expm1.f64 z)))
100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
100.0%
(*.f64 y (expm1.f64 z))
94.3%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
Operation composed, time spent: 93.0ms, 47.0% of total-time
Operation ival-log, time spent: 52.0ms, 26.0% of total-time
Operation ival-exp, time spent: 23.0ms, 12.0% of total-time
Operation ival-sub, time spent: 8.0ms, 4.0% of total-time
Operation ival-add, time spent: 8.0ms, 4.0% of total-time
Operation ival-div, time spent: 6.0ms, 3.0% of total-time
Operation ival-mult, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series114.0ms (0.6%)

Counts
4 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)>
#<alt (*.f64 y (expm1.f64 z))>
#<alt (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))>
#<alt (log1p.f64 (*.f64 y (expm1.f64 z)))>
Outputs
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) t)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))>
#<alt (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) t)) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t)))))) (/.f64 y t)))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))))>
#<alt (-.f64 (+.f64 x (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))))>
#<alt (-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t))))>
#<alt (-.f64 (+.f64 x (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (-.f64 (+.f64 x (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t))))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (*.f64 y (-.f64 (exp.f64 z) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (exp.f64 z) (*.f64 -1/2 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (exp.f64 z) (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 1/3 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) 1))>
#<alt (*.f64 y (-.f64 (+.f64 (exp.f64 z) (*.f64 y (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 y (+.f64 (*.f64 -1/4 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4))) (*.f64 1/3 (pow.f64 (-.f64 (exp.f64 z) 1) 3))))))) 1))>
#<alt (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))>
#<alt (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))>
#<alt (-.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (/.f64 1 (-.f64 (exp.f64 z) 1))) y))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) y)) (/.f64 1 (-.f64 (exp.f64 z) 1))) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))))) (*.f64 1/2 (+.f64 y (*.f64 -1 (pow.f64 y 2))))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 (+.f64 y (*.f64 -1 (pow.f64 y 2)))) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3)))))))) (*.f64 1/6 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))))))))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
#<alt (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))>
Calls

33 calls:

TimeVariablePointExpression
35.0ms
z
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
27.0ms
z
@-inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
18.0ms
t
@0
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
11.0ms
t
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
4.0ms
x
@0
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))

rewrite293.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1462×prod-diff
970×log1p-expm1-u
969×expm1-log1p-u
454×fma-define
356×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017107
1199107
22603107
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 y (expm1.f64 z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log1p.f64 (*.f64 y (expm1.f64 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 1 t))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(*.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
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(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(log.f64 (fma.f64 y (expm1.f64 z) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))

simplify278.0ms (1.4%)

Algorithm
egg-herbie
Rules
1496×fma-neg
790×fma-define
696×associate-*r*
592×associate-*l*
550×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077026417
1215221712
2693821464
Stop Event
node limit
Counts
350 → 411
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)
(*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) t)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))
(/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(/.f64 (*.f64 y z) t)
(*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) t)) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t)))))) (/.f64 y t)))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y z)
(*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 y (-.f64 (exp.f64 z) 1))
(*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))
x
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))
(*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))
x
(*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))
(*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))
x
(+.f64 x (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))
(-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))
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(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1))
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (/.f64 1 t)) x)
(fma.f64 x 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 x 1 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1 (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
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(fma.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 1 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 1 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 1 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) x)
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) x)
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(log.f64 (fma.f64 y (expm1.f64 z) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
Outputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) 2)) t) (/.f64 (exp.f64 z) t)) (/.f64 -1 t)))
(*.f64 y (fma.f64 -1/2 (*.f64 (pow.f64 (expm1.f64 z) 2) (/.f64 y t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
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(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (pow.f64 x 2))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (/.f64 1 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 x 2))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (/.f64 1 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2)) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (fma.f64 (/.f64 -1 t) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 0))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 3)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) 1/3)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)
(log1p.f64 (*.f64 y (expm1.f64 z)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 2))
(fabs.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))
(log.f64 (fma.f64 y (expm1.f64 z) 1))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(log1p.f64 (*.f64 y (expm1.f64 z)))

eval185.0ms (0.9%)

Compiler

Compiled 12309 to 4465 computations (63.7% saved)

prune115.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New39219411
Fresh000
Picked101
Done000
Total39319412
Accuracy
100.0%
Counts
412 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
66.0%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
64.6%
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
47.1%
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
26.8%
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
77.6%
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
75.7%
(-.f64 x (/.f64 (*.f64 y z) t))
71.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t))
74.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
76.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
81.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
82.9%
(-.f64 x (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))) t))
99.0%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
64.6%
(-.f64 x (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
74.5%
(-.f64 x (*.f64 z (/.f64 y t)))
87.6%
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
77.0%
(-.f64 x (*.f64 y (/.f64 z t)))
92.4%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
73.7%
x
Compiler

Compiled 590 to 404 computations (31.5% saved)

localize713.0ms (3.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
99.8%
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
99.8%
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
100.0%
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))
99.8%
(*.f64 1/6 (*.f64 y z))
97.8%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)
87.1%
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y))))))
100.0%
(/.f64 (expm1.f64 z) t)
98.7%
(*.f64 y (/.f64 (expm1.f64 z) t))
100.0%
(*.f64 y (expm1.f64 z))
100.0%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
97.8%
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 242 to 107 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 611.0ms
Operation ival-log, time spent: 178.0ms, 29.0% of total-time
Operation composed, time spent: 150.0ms, 25.0% of total-time
Operation ival-mult, time spent: 127.0ms, 21.0% of total-time
Operation ival-div, time spent: 59.0ms, 10.0% of total-time
Operation ival-add, time spent: 48.0ms, 8.0% of total-time
Operation ival-sub, time spent: 23.0ms, 4.0% of total-time
Operation ival-exp, time spent: 12.0ms, 2.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

series292.0ms (1.4%)

Counts
11 → 334
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))>
#<alt (-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))>
#<alt (*.f64 y (/.f64 (expm1.f64 z) t))>
#<alt (/.f64 (expm1.f64 z) t)>
#<alt (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y))))))>
#<alt (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)>
#<alt (*.f64 1/6 (*.f64 y z))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))>
#<alt (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))>
Outputs
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) t)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))>
#<alt (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))>
#<alt (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) t)) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t)))))) (/.f64 y t)))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt (/.f64 (-.f64 (*.f64 t x) (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) t)>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 (/.f64 1 t) (/.f64 (exp.f64 z) t))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))) (/.f64 1 t)) (/.f64 (exp.f64 z) t))))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))))>
#<alt (-.f64 (+.f64 x (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))))>
#<alt (-.f64 (+.f64 x (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (-.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t))))>
#<alt (-.f64 (+.f64 x (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt (-.f64 (+.f64 x (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t))))>
#<alt (+.f64 x (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t))))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (-.f64 x (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y z) t)>
#<alt (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 y z) t)) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 y z) t)) (*.f64 1/2 (/.f64 y t)))) (/.f64 y t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 y t)) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 y z) t)) (*.f64 1/6 (/.f64 y t)))))) (/.f64 y t)))>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)>
#<alt (/.f64 z t)>
#<alt (*.f64 z (+.f64 (*.f64 1/2 (/.f64 z t)) (/.f64 1 t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 z t)) (*.f64 1/2 (/.f64 1 t)))) (/.f64 1 t)))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/24 (/.f64 z t)) (*.f64 1/6 (/.f64 1 t)))) (*.f64 1/2 (/.f64 1 t)))) (/.f64 1 t)))>
#<alt (/.f64 (-.f64 (exp.f64 z) 1) t)>
#<alt (/.f64 (-.f64 (exp.f64 z) 1) t)>
#<alt (/.f64 (-.f64 (exp.f64 z) 1) t)>
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#<alt (-.f64 (+.f64 (*.f64 1/2 (/.f64 z t)) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))>
#<alt (-.f64 (+.f64 (*.f64 z (+.f64 (*.f64 1/24 (/.f64 z t)) (*.f64 1/2 (/.f64 1 t)))) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))>
#<alt (-.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 -1/2880 (/.f64 (pow.f64 z 2) t)) (*.f64 1/24 (/.f64 1 t)))) (*.f64 1/2 (/.f64 1 t)))) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t))) (/.f64 (log.f64 (/.f64 -1 y)) t))>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y)))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)>
#<alt (-.f64 (+.f64 (log.f64 -1) (log.f64 z)) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 z) (*.f64 1/2 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 z) (*.f64 z (+.f64 1/2 (*.f64 1/24 z))))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 z) (*.f64 z (+.f64 1/2 (*.f64 z (+.f64 1/24 (*.f64 -1/2880 (pow.f64 z 2)))))))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 y))))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y)))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) (*.f64 t x))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t)) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t)) x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 -1 y)) t) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t)) x)) 1)))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t)))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 z t)) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t)))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 -1/24 (/.f64 z t)) (*.f64 1/2 (/.f64 1 t)))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t)))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 1/2880 (/.f64 (pow.f64 z 2) t)) (*.f64 1/24 (/.f64 1 t)))) (*.f64 1/2 (/.f64 1 t)))) (/.f64 (log.f64 (/.f64 -1 y)) t))) (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 z) t)))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 -1) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 -1) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 -1) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 (log.f64 y) t)) (/.f64 (log.f64 -1) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 (/.f64 1 y)) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 (/.f64 1 y)) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 (/.f64 1 y)) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (+.f64 (/.f64 (log.f64 -1) t) (/.f64 (log.f64 (/.f64 1 y)) t))) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 1 (exp.f64 z)))) t)>
#<alt (/.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (log.f64 (-.f64 1 (exp.f64 z)))) t)>
#<alt (/.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (log.f64 (-.f64 1 (exp.f64 z)))) t)>
#<alt (/.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (log.f64 (-.f64 1 (exp.f64 z)))) t)>
#<alt x>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt (-.f64 (+.f64 x (/.f64 (log.f64 (/.f64 -1 y)) t)) (/.f64 (log.f64 (-.f64 1 (exp.f64 z))) t))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 z))) (log.f64 (/.f64 -1 y))) t)))>
Calls

90 calls:

TimeVariablePointExpression
79.0ms
y
@0
(/ (- (log (neg (- (exp z) 1))) (log (/ -1 y))) t)
31.0ms
z
@inf
(/ (- (log (neg (- (exp z) 1))) (log (/ -1 y))) t)
22.0ms
t
@0
(/ (log (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))) t)
18.0ms
t
@0
(/ (- (log (neg (- (exp z) 1))) (log (/ -1 y))) t)
18.0ms
z
@inf
(log (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))))

rewrite126.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
312×log1p-expm1-u
311×expm1-log1p-u
301×add-exp-log
301×add-cube-cbrt
299×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040439
1663415
Stop Event
node limit
Counts
11 → 274
Calls
Call 1
Inputs
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (expm1.f64 z) t)
(log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y))))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)
(*.f64 1/6 (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(+.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 x (*.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (/.f64 1 t)) (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(+.f64 (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 1 (*.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 1 t) (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y)))))) (fma.f64 (neg.f64 (/.f64 1 t)) (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) (*.f64 (/.f64 1 t) (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2))))
(*.f64 1 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2)) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2))) (neg.f64 (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (*.f64 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 1))
(fma.f64 1 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))

simplify565.0ms (2.8%)

Algorithm
egg-herbie
Rules
1572×fma-define
706×distribute-rgt-in
692×distribute-lft-in
614×associate-+l+
606×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130336805
1365934012
Stop Event
node limit
Counts
608 → 705
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
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x
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x
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x
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x
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x
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2))))
(*.f64 1 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2)) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2))) (neg.f64 (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (*.f64 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 1))
(fma.f64 1 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
Outputs
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t)
(*.f64 y (/.f64 (expm1.f64 z) t))
(*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) 2)) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (fma.f64 -1/2 (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) 2) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (+.f64 (*.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) 3)) t)))) (/.f64 (expm1.f64 z) t)))
(*.f64 y (fma.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (/.f64 (*.f64 1/3 (*.f64 y (pow.f64 (expm1.f64 z) 3))) t)) (/.f64 (expm1.f64 z) t)))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) t)) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)))))) (/.f64 (exp.f64 z) t)) (/.f64 1 t)))
(*.f64 y (+.f64 (*.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t) (*.f64 y (fma.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) 4)) t) (/.f64 (*.f64 1/3 (pow.f64 (expm1.f64 z) 3)) t))))) (/.f64 (expm1.f64 z) t)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 -1/4 (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) 4) t)) (/.f64 (*.f64 1/3 (pow.f64 (expm1.f64 z) 3)) t)) (*.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) t))) (/.f64 (expm1.f64 z) t)))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)
(/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (log.f64 (expm1.f64 z))) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))
(-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t))) (/.f64 (/.f64 1/2 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))
(+.f64 (/.f64 (log.f64 y) t) (+.f64 (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 -1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) t)))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))
(-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) t) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) t) (/.f64 1/3 (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) 3)))))) (/.f64 (/.f64 1/2 t) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) t)) (/.f64 1/3 (*.f64 t (pow.f64 (*.f64 y (expm1.f64 z)) 3)))) (+.f64 (/.f64 (log.f64 y) t) (/.f64 -1/2 (*.f64 t (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))))
(/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)
(/.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) t)
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(+.f64 (/.f64 1 (*.f64 t (*.f64 y (expm1.f64 z)))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (log.f64 (/.f64 -1 y)) t)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) 2)))) (/.f64 (/.f64 1 t) (expm1.f64 z))) y) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (+.f64 (/.f64 1/2 (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) 2)))) (/.f64 -1 (*.f64 t (expm1.f64 z)))) y)) (/.f64 (log.f64 (/.f64 -1 y)) t))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) t)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) t) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) 3)))) (/.f64 1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) y)) (/.f64 (/.f64 1 t) (expm1.f64 z))) y) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t)))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) t) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 y (pow.f64 (expm1.f64 z) 3)))) (/.f64 -1/2 (*.f64 t (pow.f64 (expm1.f64 z) 2)))) y) (/.f64 -1 (*.f64 t (expm1.f64 z)))) y)) (/.f64 (log.f64 (/.f64 -1 y)) t))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 z t))
(*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)) (/.f64 y t)))
(*.f64 z (fma.f64 1/2 (*.f64 z (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) t)) (/.f64 y t)))
(*.f64 z (fma.f64 1/2 (*.f64 z (/.f64 (-.f64 y (pow.f64 y 2)) t)) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)))) (/.f64 y t)))
(*.f64 z (fma.f64 z (fma.f64 1/6 (*.f64 z (/.f64 (+.f64 y (fma.f64 -3 (pow.f64 y 2) (*.f64 2 (pow.f64 y 3)))) t)) (*.f64 1/2 (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) t))) (/.f64 y t)))
(*.f64 z (fma.f64 z (fma.f64 1/2 (/.f64 (-.f64 y (pow.f64 y 2)) t) (/.f64 (*.f64 1/6 (*.f64 z (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (pow.f64 y 2) -3))))) t)) (/.f64 y t)))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) t)) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t)))))) (/.f64 y t)))
(*.f64 z (fma.f64 z (fma.f64 1/2 (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) t) (*.f64 z (fma.f64 1/24 (/.f64 (*.f64 z (+.f64 y (fma.f64 -6 (pow.f64 y 4) (fma.f64 -4 (pow.f64 y 2) (fma.f64 -3 (pow.f64 y 2) (*.f64 (pow.f64 y 3) 12)))))) t) (*.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (pow.f64 y 2) (*.f64 2 (pow.f64 y 3)))) t))))) (/.f64 y t)))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 1/24 (*.f64 z (/.f64 (+.f64 y (fma.f64 -6 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 y 2) -7) (*.f64 (pow.f64 y 3) 12)))) t)) (*.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (pow.f64 y 2) -3))) t))) (*.f64 1/2 (/.f64 (-.f64 y (pow.f64 y 2)) t))) (/.f64 y t)))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
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(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
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(+.f64 (-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)) (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))
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(+.f64 (-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))) (sqrt.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)) (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))
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(*.f64 1 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2) (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 2) (*.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2)) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 2)) (+.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2) (*.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 2) (*.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2))) (neg.f64 (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 2)) (neg.f64 (+.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 2)) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) (*.f64 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 3)) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t) 2) (*.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) 3)) (fma.f64 x x (*.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t) (+.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 1)
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 3)
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3) 1/3)
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 2)
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t)) 2))
(fabs.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)) 3))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(exp.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))) 1))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(fma.f64 1 x (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t)))
(-.f64 x (/.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 z) -1) y)) t))
(-.f64 x (/.f64 (log.f64 (/.f64 (expm1.f64 z) (/.f64 -1 y))) t))

eval492.0ms (2.4%)

Compiler

Compiled 18759 to 10993 computations (41.4% saved)

prune283.0ms (1.4%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New7316737
Fresh31114
Picked235
Done000
Total73620756
Accuracy
100.0%
Counts
756 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
66.0%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
64.6%
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
47.1%
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
16.7%
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 z) 1/2)) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t))
87.2%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
75.7%
(-.f64 x (/.f64 (*.f64 y z) t))
31.9%
(-.f64 x (/.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 y) (+.f64 (*.f64 1/2 (/.f64 y z)) (/.f64 y (pow.f64 z 2)))))) t))
71.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t))
74.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
76.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
81.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
36.4%
(-.f64 x (*.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y 1/2 (*.f64 (*.f64 y z) 1/6)) y))) (sqrt.f64 t))))
70.0%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3))))
99.0%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
81.1%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
74.5%
(-.f64 x (*.f64 z (/.f64 y t)))
77.0%
(-.f64 x (*.f64 y (/.f64 z t)))
92.4%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
73.7%
x
Compiler

Compiled 640 to 449 computations (29.8% saved)

localize649.0ms (3.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 y (expm1.f64 z))
99.7%
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
96.5%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
88.4%
(sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
100.0%
(*.f64 y (expm1.f64 z))
96.5%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
100.0%
(*.f64 y (expm1.f64 z))
96.6%
(/.f64 (*.f64 y (expm1.f64 z)) t)
96.5%
(*.f64 y (/.f64 z t))
100.0%
(-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))
100.0%
(*.f64 y (expm1.f64 z))
97.7%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
95.9%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
Compiler

Compiled 177 to 31 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 629.0ms
Operation composed, time spent: 219.0ms, 35.0% of total-time
Operation ival-log, time spent: 171.0ms, 27.0% of total-time
Operation ival-pow, time spent: 117.0ms, 19.0% of total-time
Operation ival-sub, time spent: 34.0ms, 5.0% of total-time
Operation ival-div, time spent: 26.0ms, 4.0% of total-time
Operation ival-exp, time spent: 23.0ms, 4.0% of total-time
Operation ival-mult, time spent: 22.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 1.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time
Operation ival-neg, time spent: 4.0ms, 1.0% of total-time
Operation ival-add, time spent: 4.0ms, 1.0% of total-time

series72.0ms (0.4%)

Counts
8 → 324
Calls
Call 1
Inputs
#<alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))>
#<alt (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))>
#<alt (*.f64 y (/.f64 z t))>
#<alt (/.f64 (*.f64 y (expm1.f64 z)) t)>
#<alt (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))>
#<alt (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))>
#<alt (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)>
Outputs
#<alt (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) (*.f64 t x))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 t x))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 t x))) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (*.f64 t x))))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))>
#<alt (*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 t x))) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 t x))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 t x))))))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))>
#<alt (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 t x))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x)))) (/.f64 1/2 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))))>
#<alt (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (*.f64 t x))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (/.f64 1 (*.f64 t (*.f64 x (-.f64 (exp.f64 z) 1))))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y)) (/.f64 1 (*.f64 t (*.f64 x (-.f64 (exp.f64 z) 1))))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))>
#<alt (/.f64 (*.f64 y z) (*.f64 t x))>
#<alt (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) (*.f64 t x))) (/.f64 y (*.f64 t x))))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) (*.f64 t x))) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) (*.f64 t x))))) (/.f64 y (*.f64 t x))))>
#<alt (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) (*.f64 t x))) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) (*.f64 t x))) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (*.f64 t x))))))) (/.f64 y (*.f64 t x))))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 x (*.f64 y (-.f64 (/.f64 1 (*.f64 t x)) (/.f64 (exp.f64 z) (*.f64 t x))))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t)) (*.f64 x (-.f64 (/.f64 1 (*.f64 t x)) (/.f64 (exp.f64 z) (*.f64 t x)))))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 1 (*.f64 t x)) (/.f64 (exp.f64 z) (*.f64 t x)))) (*.f64 y (+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t)))))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 z (+.f64 (*.f64 -1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 -1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t)))))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))) (*.f64 t x)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 y (-.f64 (/.f64 1 (*.f64 t x)) (/.f64 (exp.f64 z) (*.f64 t x)))))>
#<alt (+.f64 1 (*.f64 y (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 t x))) (/.f64 1 (*.f64 t x))) (/.f64 (exp.f64 z) (*.f64 t x)))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t)) (pow.f64 (sqrt.f64 -1) 2))>
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#<alt (/.f64 (*.f64 y z) t)>
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Calls

81 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
4.0ms
y
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
4.0ms
y
@inf
(sqrt (/ (log (+ 1 (* y (- (exp z) 1)))) t))
3.0ms
x
@inf
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
2.0ms
y
@-inf
(sqrt (/ (log (+ 1 (* y (- (exp z) 1)))) t))

rewrite206.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1752×prod-diff
334×associate-*r*
320×log1p-expm1-u
264×times-frac
240×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029288
1435280
25960280
Stop Event
node limit
Counts
8 → 318
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
(-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))
(*.f64 y (/.f64 z t))
(/.f64 (*.f64 y (expm1.f64 z)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
Outputs
(-.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) 1) 1)
(-.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 (/.f64 1 t) x))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (/.f64 (/.f64 1 t) x)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) 1)
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(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
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(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 1 (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
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(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t))
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(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) t)
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(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) t)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
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(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
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(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))

simplify386.0ms (1.9%)

Algorithm
egg-herbie
Rules
1348×fma-define
1318×associate-*r*
688×*-commutative
654×distribute-rgt-in
642×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115434785
1319133184
Stop Event
node limit
Counts
642 → 637
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) (*.f64 t x))
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x
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x
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(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) t)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
Outputs
(/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) (*.f64 t x))
(*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))
(/.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(*.f64 y (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (*.f64 t x))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y (pow.f64 (expm1.f64 z) 2)) (*.f64 t x)) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (fma.f64 -1/2 (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t x))) (/.f64 (expm1.f64 z) (*.f64 t x))))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 t x))) (*.f64 1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) (*.f64 t x))))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (-.f64 (fma.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t x)) (*.f64 1/3 (*.f64 (/.f64 y t) (/.f64 (pow.f64 (expm1.f64 z) 3) x)))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (fma.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t x)) (*.f64 y (*.f64 (/.f64 1/3 t) (/.f64 (pow.f64 (expm1.f64 z) 3) x)))) (/.f64 (expm1.f64 z) (*.f64 t x))))
(*.f64 y (-.f64 (+.f64 (*.f64 y (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) (*.f64 t x))) (*.f64 y (+.f64 (*.f64 -1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) (*.f64 t x))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) (*.f64 t x))))))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (-.f64 (fma.f64 y (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 z) 2) (*.f64 t x)) (*.f64 y (fma.f64 -1/4 (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) 4) (*.f64 t x))) (/.f64 (*.f64 1/3 (pow.f64 (expm1.f64 z) 3)) (*.f64 t x))))) (/.f64 (exp.f64 z) (*.f64 t x))) (/.f64 1 (*.f64 t x))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 -1/4 (*.f64 y (/.f64 (pow.f64 (expm1.f64 z) 4) (*.f64 t x))) (*.f64 (/.f64 1/3 t) (/.f64 (pow.f64 (expm1.f64 z) 3) x))) (*.f64 (/.f64 -1/2 t) (/.f64 (pow.f64 (expm1.f64 z) 2) x))) (/.f64 (expm1.f64 z) (*.f64 t x))))
(/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 t x))
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 t x))
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) (*.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) (*.f64 t x)) (+.f64 (/.f64 1 (*.f64 t (*.f64 (*.f64 x y) (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x))))
(+.f64 (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)) (+.f64 (/.f64 (/.f64 1 t) (*.f64 (*.f64 x y) (expm1.f64 z))) (/.f64 (log.f64 y) (*.f64 t x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x)))) (/.f64 1/2 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))))
(-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) (*.f64 t x)) (+.f64 (/.f64 1 (*.f64 t (*.f64 (*.f64 x y) (expm1.f64 z)))) (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)))) (/.f64 1/2 (*.f64 t (*.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))))
(+.f64 (/.f64 (log.f64 y) (*.f64 t x)) (+.f64 (/.f64 (/.f64 1 t) (*.f64 (*.f64 x y) (expm1.f64 z))) (-.f64 (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)) (/.f64 1/2 (*.f64 (*.f64 t (*.f64 x (pow.f64 y 2))) (pow.f64 (expm1.f64 z) 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (/.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 t x))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))))
(-.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 y)) (*.f64 t x)) (+.f64 (/.f64 1 (*.f64 t (*.f64 (*.f64 x y) (expm1.f64 z)))) (+.f64 (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x)) (/.f64 1/3 (*.f64 t (*.f64 x (pow.f64 (*.f64 y (expm1.f64 z)) 3))))))) (/.f64 1/2 (*.f64 t (*.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 y 2))))))
(+.f64 (/.f64 (log.f64 y) (*.f64 t x)) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 t) (*.f64 (*.f64 x y) (expm1.f64 z))) (/.f64 (log.f64 (expm1.f64 z)) (*.f64 t x))) (/.f64 1/3 (*.f64 (*.f64 t x) (pow.f64 (*.f64 y (expm1.f64 z)) 3)))) (/.f64 -1/2 (*.f64 (*.f64 t (*.f64 x (pow.f64 y 2))) (pow.f64 (expm1.f64 z) 2)))))
(/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) (*.f64 t x))
(/.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) (*.f64 t x))
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) (*.f64 t x))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (-.f64 (exp.f64 z) 1))))) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (+.f64 (/.f64 1 (*.f64 t (*.f64 (*.f64 x y) (expm1.f64 z)))) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x))))
(+.f64 (/.f64 (/.f64 1 t) (*.f64 (*.f64 x y) (expm1.f64 z))) (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x)) (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (/.f64 1 (*.f64 t (*.f64 x (-.f64 (exp.f64 z) 1))))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (expm1.f64 z) 2))))) (/.f64 1 (*.f64 t (*.f64 (expm1.f64 z) x)))) y) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 (*.f64 t x) (pow.f64 (expm1.f64 z) 2)) y)) (/.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) x))) y)) (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 x (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y)) (/.f64 1 (*.f64 t (*.f64 x (-.f64 (exp.f64 z) 1))))) y)) (/.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 t x))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (*.f64 t (*.f64 x (*.f64 y (pow.f64 (expm1.f64 z) 3))))) (/.f64 1/2 (*.f64 (*.f64 t x) (pow.f64 (expm1.f64 z) 2)))) y)) (/.f64 1 (*.f64 t (*.f64 (expm1.f64 z) x)))) y) (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 (expm1.f64 z))) (*.f64 t x)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (*.f64 t (*.f64 (*.f64 x y) (pow.f64 (expm1.f64 z) 3)))) (/.f64 -1/2 (*.f64 (*.f64 t x) (pow.f64 (expm1.f64 z) 2)))) y) (/.f64 (/.f64 -1 t) (*.f64 (expm1.f64 z) x))) y)) (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x)))
(/.f64 (*.f64 y z) (*.f64 t x))
(*.f64 (/.f64 y t) (/.f64 z x))
(*.f64 (/.f64 z t) (/.f64 y x))
(*.f64 z (+.f64 (*.f64 1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) (*.f64 t x))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 1/2 (*.f64 z (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) (*.f64 t x))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 1/2 (*.f64 z (/.f64 (-.f64 y (pow.f64 y 2)) (*.f64 t x))) (/.f64 y (*.f64 t x))))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) (*.f64 t x))) (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) (*.f64 t x))))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 z (fma.f64 1/6 (*.f64 z (/.f64 (+.f64 y (fma.f64 -3 (pow.f64 y 2) (*.f64 2 (pow.f64 y 3)))) (*.f64 t x))) (*.f64 1/2 (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) (*.f64 t x)))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 z (fma.f64 1/2 (/.f64 (-.f64 y (pow.f64 y 2)) (*.f64 t x)) (*.f64 (/.f64 1/6 t) (/.f64 (*.f64 z (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (pow.f64 y 2) -3)))) x))) (/.f64 y (*.f64 t x))))
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) (*.f64 t x))) (*.f64 z (+.f64 (*.f64 1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) (*.f64 t x))) (*.f64 1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) (*.f64 t x))))))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 z (fma.f64 1/2 (/.f64 (+.f64 y (neg.f64 (pow.f64 y 2))) (*.f64 t x)) (*.f64 z (fma.f64 1/24 (*.f64 z (/.f64 (+.f64 y (fma.f64 -6 (pow.f64 y 4) (fma.f64 -4 (pow.f64 y 2) (fma.f64 -3 (pow.f64 y 2) (*.f64 (pow.f64 y 3) 12))))) (*.f64 t x))) (*.f64 1/6 (/.f64 (+.f64 y (fma.f64 -3 (pow.f64 y 2) (*.f64 2 (pow.f64 y 3)))) (*.f64 t x)))))) (/.f64 y (*.f64 t x))))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 1/24 (*.f64 z (/.f64 (+.f64 y (fma.f64 -6 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 y 2) -7) (*.f64 (pow.f64 y 3) 12)))) (*.f64 t x))) (*.f64 1/6 (/.f64 (+.f64 y (fma.f64 2 (pow.f64 y 3) (*.f64 (pow.f64 y 2) -3))) (*.f64 t x)))) (*.f64 1/2 (/.f64 (-.f64 y (pow.f64 y 2)) (*.f64 t x)))) (/.f64 y (*.f64 t x))))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))
(/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 t x))
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(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2) (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/4) (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/4) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 -1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/4)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1/4))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2))
(*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (pow.f64 (cbrt.f64 t) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (pow.f64 (cbrt.f64 t) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t)))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (cbrt.f64 t))) (pow.f64 (cbrt.f64 t) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) -1)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) -1))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) -1)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 4))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 1 (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) 1))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 -1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 1) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 t))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (sqrt.f64 t))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 1) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) -1) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) -1) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

eval870.0ms (4.3%)

Compiler

Compiled 27147 to 12978 computations (52.2% saved)

prune193.0ms (0.9%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1220161236
Fresh6612
Picked325
Done213
Total1231251256
Accuracy
100.0%
Counts
1256 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) (neg.f64 t))
17.8%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
17.4%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
27.9%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
18.0%
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
53.3%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))
64.6%
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
16.7%
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 z) 1/2)) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t))
87.2%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
75.7%
(-.f64 x (/.f64 (*.f64 y z) t))
31.9%
(-.f64 x (/.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 y) (+.f64 (*.f64 1/2 (/.f64 y z)) (/.f64 y (pow.f64 z 2)))))) t))
76.9%
(-.f64 x (/.f64 y (/.f64 t z)))
87.1%
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
75.7%
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
70.0%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3))))
81.1%
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
27.8%
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
18.0%
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
13.6%
(*.f64 y (/.f64 (neg.f64 z) t))
72.0%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
77.1%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
95.6%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))
73.6%
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
82.7%
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
73.7%
x
Compiler

Compiled 771 to 551 computations (28.5% saved)

localize532.0ms (2.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (*.f64 y (expm1.f64 z)))
100.0%
(*.f64 y (expm1.f64 z))
94.1%
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
96.2%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
94.7%
(log1p.f64 (*.f64 y z))
91.3%
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))
100.0%
(/.f64 (neg.f64 (expm1.f64 z)) t)
95.9%
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
94.8%
(*.f64 y (/.f64 (neg.f64 z) t))
99.3%
(/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))
96.6%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))
95.4%
(*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))
93.2%
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
Compiler

Compiled 190 to 45 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 460.0ms
Operation composed, time spent: 166.0ms, 36.0% of total-time
Operation ival-log, time spent: 118.0ms, 26.0% of total-time
Operation ival-div, time spent: 53.0ms, 12.0% of total-time
Operation ival-mult, time spent: 50.0ms, 11.0% of total-time
Operation ival-exp, time spent: 23.0ms, 5.0% of total-time
Operation ival-sub, time spent: 23.0ms, 5.0% of total-time
Operation ival-neg, time spent: 12.0ms, 3.0% of total-time
Operation ival-add, time spent: 9.0ms, 2.0% of total-time
Operation const, time spent: 6.0ms, 1.0% of total-time

series119.0ms (0.6%)

Counts
11 → 432
Calls
Call 1
Inputs
#<alt (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))>
#<alt (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))>
#<alt (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))>
#<alt (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))>
#<alt (*.f64 y (/.f64 (neg.f64 z) t))>
#<alt (*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))>
#<alt (/.f64 (neg.f64 (expm1.f64 z)) t)>
#<alt (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))>
#<alt (log1p.f64 (*.f64 y z))>
#<alt (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))>
#<alt (*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))>
Outputs
#<alt (/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))>
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#<alt (+.f64 (log.f64 (*.f64 -1 z)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 z 2)))) y)) (/.f64 1 z)) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 -1/2 (*.f64 (pow.f64 y 2) z))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/3 (*.f64 (pow.f64 y 3) z))))))>
#<alt (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 z (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (*.f64 1/3 (pow.f64 y 3))))))))>
#<alt (+.f64 (log.f64 y) (*.f64 -1 (log.f64 (/.f64 1 z))))>
#<alt (+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (/.f64 1 (*.f64 y z))))>
#<alt (-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (/.f64 1 (*.f64 y z)))) (/.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 z 2))))>
#<alt (-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (/.f64 1 (*.f64 y z)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) (pow.f64 z 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))>
#<alt (+.f64 (log.f64 (*.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))>
#<alt (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 (*.f64 y z))))>
#<alt (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) z))) (/.f64 1 y)) z))))>
#<alt (+.f64 (log.f64 (*.f64 -1 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 y 3) z))) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))) z)) (/.f64 1 y)) z))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)))))>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)))))>
#<alt x>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)) 1)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) (*.f64 t x)) 1)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 -1 (/.f64 z t)) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 z 2)) t)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 -1 (/.f64 z t)) (*.f64 y (+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 z 3)) t)) (*.f64 1/2 (/.f64 (pow.f64 z 2) t)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 z) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 z) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 z) (*.f64 t x))))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 y)) (*.f64 t x))) (/.f64 (log.f64 z) (*.f64 t x))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))) (+.f64 (/.f64 1 (*.f64 t (*.f64 y z))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 z)) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 z)) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t z)) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 z 2)))))) y)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 z)) (*.f64 t x))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 z 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 z 3)))))) y)) (/.f64 1 (*.f64 t z))) y)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 y)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 z)) (*.f64 t x))))))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (*.f64 y z) t)))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) z) t)))))>
#<alt (+.f64 x (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 z (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) z) t)) (*.f64 1/2 (/.f64 (pow.f64 y 2) t)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) (*.f64 t x))) (/.f64 (log.f64 y) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) (*.f64 t x))) (/.f64 (log.f64 y) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) (*.f64 t x))) (/.f64 (log.f64 y) (*.f64 t x))))) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (-.f64 (+.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 z)) (*.f64 t x))) (/.f64 (log.f64 y) (*.f64 t x))))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 z 2)))))) (+.f64 (/.f64 1 (*.f64 t (*.f64 y z))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))>
#<alt (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 y)) (*.f64 t x)))))>
#<alt (-.f64 (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 y)) (*.f64 t x))))) (/.f64 1 (*.f64 t (*.f64 y z))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t y)) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) z))))) z)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 y)) (*.f64 t x))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 y 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) z))))) z)) (/.f64 1 (*.f64 t y))) z)) (*.f64 x (-.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 z)) (*.f64 t x))) (/.f64 (log.f64 (*.f64 -1 y)) (*.f64 t x))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t))>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y z)))) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y z)))) (*.f64 t x)) t)>
#<alt (/.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 (*.f64 y z)))) (*.f64 t x)) t)>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt x>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y z))) t)))>
#<alt (*.f64 -1 (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))>
#<alt (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 1/2 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) t))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 y (+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)) t)) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t))))))>
#<alt (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 (exp.f64 z) 1) t)) (*.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 2) t)) (*.f64 y (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 z) 1) 3) t)) (*.f64 1/4 (/.f64 (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 4)) t))))))))>
#<alt (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (/.f64 1/2 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) t)) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (+.f64 (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))))>
#<alt (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)) (/.f64 1 (*.f64 t (*.f64 y (-.f64 (exp.f64 z) 1)))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1))) (*.f64 1/2 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) y)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 t (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 1/3 (/.f64 1 (*.f64 t (*.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) y)) (/.f64 1 (*.f64 t (-.f64 (exp.f64 z) 1)))) y)))>
#<alt (*.f64 -1 (/.f64 (*.f64 y z) t))>
#<alt (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 -1/2 (/.f64 (*.f64 z (+.f64 y (*.f64 -1 (pow.f64 y 2)))) t))))>
#<alt (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 z (+.f64 (*.f64 -1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 -1/6 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3))))) t))))))>
#<alt (*.f64 z (+.f64 (*.f64 -1 (/.f64 y t)) (*.f64 z (+.f64 (*.f64 -1/2 (/.f64 (+.f64 y (*.f64 -1 (pow.f64 y 2))) t)) (*.f64 z (+.f64 (*.f64 -1/6 (/.f64 (+.f64 y (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 2 (pow.f64 y 3)))) t)) (*.f64 -1/24 (/.f64 (*.f64 z (+.f64 y (+.f64 (*.f64 -6 (pow.f64 y 4)) (+.f64 (*.f64 -4 (pow.f64 y 2)) (+.f64 (*.f64 -3 (pow.f64 y 2)) (*.f64 12 (pow.f64 y 3))))))) t))))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
#<alt (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))) t))>
Calls

108 calls:

TimeVariablePointExpression
18.0ms
t
@0
(/ (log (+ 1 (* y z))) (* t x))
8.0ms
z
@0
(/ (log (+ 1 (* y z))) (* t x))
7.0ms
x
@0
(/ (log (+ 1 (* y z))) (* t x))
6.0ms
t
@inf
(/ (log (+ 1 (* y z))) (* t x))
3.0ms
x
@inf
(/ (log (+ 1 (* y z))) (* t x))

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
570×associate-*r*
374×associate-*l*
314×times-frac
278×log1p-expm1-u
277×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036387
1617371
Stop Event
node limit
Counts
11 → 288
Calls
Call 1
Inputs
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 y (/.f64 (neg.f64 z) t))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (neg.f64 (expm1.f64 z)) t)
(/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))
(log1p.f64 (*.f64 y z))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))) 1)
(*.f64 x (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 1 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) 2)) (cbrt.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) (sqrt.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))
(*.f64 (neg.f64 x) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z)))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 z) 2)) (sqrt.f64 t)) (/.f64 (cbrt.f64 (expm1.f64 z)) (sqrt.f64 t)))
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(*.f64 (*.f64 (expm1.f64 z) (pow.f64 t -1/2)) (pow.f64 t -1/2))
(*.f64 (*.f64 (expm1.f64 z) 1) (/.f64 1 t))
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(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 z) t)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 z) t))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 z) t) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 (/.f64 1 t) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 z) 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 z) t)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 z) t)) 1))
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(*.f64 (/.f64 1 t) (/.f64 (log1p.f64 (*.f64 y z)) x))
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(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 2) (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 (*.f64 x t))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 (*.f64 x (neg.f64 t))))
(*.f64 (/.f64 (log1p.f64 (*.f64 y z)) t) (/.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 x t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 1) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (*.f64 x t)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) x))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) t) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) x))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (sqrt.f64 (*.f64 x t))) (/.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (*.f64 x t))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) x) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) t))
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(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)) 3) 1/3)
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(pow.f64 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y z)))) -1)
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(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) 1)
(*.f64 1 (log1p.f64 (*.f64 y z)))
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(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(pow.f64 (log1p.f64 (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2))
(log.f64 (+.f64 1 (*.f64 y z)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y z))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))) 1)
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(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 2))
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(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 3) (pow.f64 x 3)))
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(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 1))
(-.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
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(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 (/.f64 1 t) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 t) 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))

simplify604.0ms (3%)

Algorithm
egg-herbie
Rules
1656×times-frac
1090×*-commutative
482×+-commutative
472×associate-*r/
428×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0164342273
1488840662
Stop Event
node limit
Counts
720 → 815
Calls
Call 1
Inputs
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
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(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
Outputs
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))
(/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 x (*.f64 y (-.f64 (exp.f64 z) 1)))
(/.f64 (/.f64 x y) (expm1.f64 z))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)
(/.f64 (fma.f64 1/2 (*.f64 x y) (/.f64 x (expm1.f64 z))) y)
(/.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/4 (*.f64 x (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (*.f64 x (-.f64 (exp.f64 z) 1)))))) (*.f64 -1/2 x))) (/.f64 x (-.f64 (exp.f64 z) 1))) y)
(/.f64 (fma.f64 y (+.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x (expm1.f64 z)) 1/12)) (*.f64 1/2 x)) (/.f64 x (expm1.f64 z))) y)
(/.f64 (fma.f64 y (fma.f64 (neg.f64 y) (*.f64 (*.f64 x (expm1.f64 z)) 1/12) (*.f64 x 1/2)) (/.f64 x (expm1.f64 z))) y)
(/.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1/4 (*.f64 x (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (+.f64 (*.f64 1/6 (*.f64 x (pow.f64 (-.f64 (exp.f64 z) 1) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 x (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (*.f64 x (-.f64 (exp.f64 z) 1)))) (-.f64 (exp.f64 z) 1))))))) (+.f64 (*.f64 -1/4 (*.f64 x (-.f64 (exp.f64 z) 1))) (*.f64 1/3 (*.f64 x (-.f64 (exp.f64 z) 1)))))) (*.f64 -1/2 x))) (/.f64 x (-.f64 (exp.f64 z) 1))) y)
(/.f64 (fma.f64 y (fma.f64 y (-.f64 (*.f64 (neg.f64 y) (fma.f64 -1/4 (*.f64 x (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/6 (*.f64 x (pow.f64 (expm1.f64 z) 2)) (*.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 x (expm1.f64 z)) 1/12)))))) (*.f64 (*.f64 x (expm1.f64 z)) 1/12)) (neg.f64 (*.f64 x -1/2))) (/.f64 x (expm1.f64 z))) y)
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 -1/4 (*.f64 x (pow.f64 (expm1.f64 z) 2)) (fma.f64 1/6 (*.f64 x (pow.f64 (expm1.f64 z) 2)) (*.f64 1/2 (*.f64 (expm1.f64 z) (*.f64 (*.f64 x (expm1.f64 z)) 1/12))))) (*.f64 (*.f64 x (expm1.f64 z)) -1/12)) (*.f64 x 1/2)) (/.f64 x (expm1.f64 z))) y)
(/.f64 x (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (-.f64 (exp.f64 z) 1))))) (/.f64 x (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (expm1.f64 z))) (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y))))))
(-.f64 (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (expm1.f64 z))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (pow.f64 y 2))) (/.f64 x (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (-.f64 (exp.f64 z) 1)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3))) (/.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))) (pow.f64 y 2)) (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (expm1.f64 z))))
(-.f64 (-.f64 (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (expm1.f64 z) 2)) (/.f64 -1/2 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)))) (pow.f64 y 2))) (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (expm1.f64 z))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))) (*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (*.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (-.f64 (exp.f64 z) 1)))) (+.f64 (*.f64 1/3 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))) (*.f64 1/2 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 (-.f64 (exp.f64 z) 1) 3)))))) (pow.f64 y 3))) (/.f64 x (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 3) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (+.f64 (*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (-.f64 (exp.f64 z) 1)) (*.f64 -1 (log.f64 (/.f64 1 y)))) 2) (-.f64 (exp.f64 z) 1)))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3))) (/.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (fma.f64 1/3 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2) (pow.f64 (expm1.f64 z) 3))) (/.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3) (pow.f64 (expm1.f64 z) 3))))) (pow.f64 y 3)) (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))))) (fma.f64 -1 (/.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 3))) (fma.f64 -1/2 (/.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2))) (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (neg.f64 (neg.f64 (log.f64 y)))) 2)) (expm1.f64 z))))))
(-.f64 (-.f64 (/.f64 x (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))) (/.f64 (-.f64 (fma.f64 1/3 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2) (pow.f64 (expm1.f64 z) 3))) (/.f64 (*.f64 x 1/2) (*.f64 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3) (pow.f64 (expm1.f64 z) 3)))) (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (expm1.f64 z) 2)) (/.f64 -1/2 (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 x (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)))) (*.f64 (expm1.f64 z) (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))))) (pow.f64 y 3))) (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2))) (/.f64 x (*.f64 (*.f64 y (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 2)) (expm1.f64 z)))) (/.f64 (/.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) 3)))))
(/.f64 x (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(/.f64 x (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))))
(/.f64 x (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) 2) (-.f64 (exp.f64 z) 1))))) (/.f64 x (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(fma.f64 -1 (/.f64 (/.f64 x y) (*.f64 (expm1.f64 z) (pow.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) 2))) (/.f64 x (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y))))))
(-.f64 (/.f64 x (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 x y) (*.f64 (expm1.f64 z) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) 3) (pow.f64 (-.f64 (exp.f64 z) 1) 2))))) (*.f64 -1/2 (/.f64 x (*.f64 y (*.f64 (pow.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) 2) (pow.f64 (-.f64 (exp.f64 z) 1) 2)))))) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) 2) (-.f64 (exp.f64 z) 1))))) y)) (/.f64 x (+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 z) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (/.f64 x y) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) 3))) (*.f64 -1/2 (/.f64 (/.f64 x y) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) 2))))) (/.f64 (neg.f64 x) (*.f64 (expm1.f64 z) (pow.f64 (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y)))) 2)))) y) (/.f64 x (+.f64 (log.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (log.f64 (/.f64 -1 y))))))
(-.f64 (/.f64 x (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y)))) (/.f64 (+.f64 (/.f64 (/.f64 x y) (neg.f64 (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 3)))) (fma.f64 -1/2 (/.f64 (/.f64 x y) (*.f64 (pow.f64 (expm1.f64 z) 2) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))) (/.f64 x (*.f64 (expm1.f64 z) (pow.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) 2))))) y))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 y z)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))
(*.f64 1 (log1p.f64 (*.f64 y z)))
(log1p.f64 (*.f64 y z))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2)) (cbrt.f64 (log1p.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) (sqrt.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(pow.f64 (log1p.f64 (*.f64 y z)) 1)
(log1p.f64 (*.f64 y z))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 y z))) 3)
(log1p.f64 (*.f64 y z))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3) 1/3)
(log1p.f64 (*.f64 y z))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y z))) 2)
(log1p.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 2))
(fabs.f64 (log1p.f64 (*.f64 y z)))
(log.f64 (+.f64 1 (*.f64 y z)))
(log1p.f64 (*.f64 y z))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 y z)) 3))
(log1p.f64 (*.f64 y z))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y z))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 y z))))
(log1p.f64 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 y z))) 1))
(log1p.f64 (*.f64 y z))
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x (neg.f64 t))) x))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(+.f64 (*.f64 x 1) (*.f64 x (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x (neg.f64 t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 1)
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 3)
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 3) 1/3)
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 2)
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 2))
(fabs.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t)))) 3))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 3)))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))) 1))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 x t))))
(-.f64 0 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) 1)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(-.f64 (/.f64 0 t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(/.f64 1 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 1)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 3)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3) 1/3)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 2))
(fabs.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) 3))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 (/.f64 1 t) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 t) 3) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 (/.f64 1 t) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) 3) (pow.f64 t 3)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 1))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)

eval427.0ms (2.1%)

Compiler

Compiled 27860 to 15035 computations (46% saved)

prune263.0ms (1.3%)

Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New987141001
Fresh51217
Picked145
Done033
Total993331026
Accuracy
100.0%
Counts
1026 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
13.1%
(/.f64 (*.f64 y z) (neg.f64 t))
3.2%
(/.f64 (*.f64 y z) t)
18.0%
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
17.4%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) (neg.f64 t))
17.8%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
17.4%
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
27.9%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
3.1%
(/.f64 y (/.f64 t z))
53.3%
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))
64.6%
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
16.7%
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 z) 1/2)) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t))
87.2%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
75.7%
(-.f64 x (/.f64 (*.f64 y z) t))
76.9%
(-.f64 x (/.f64 y (/.f64 t z)))
87.1%
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
75.7%
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
27.8%
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
18.0%
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
27.7%
(*.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 t))
13.6%
(*.f64 y (/.f64 (neg.f64 z) t))
72.0%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
77.1%
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
69.5%
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 t (*.f64 x y))) (/.f64 (*.f64 t x) (-.f64 (exp.f64 z) 1))) y))))
77.1%
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
84.8%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
73.4%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
75.0%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
95.6%
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))
73.6%
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
95.4%
(*.f64 x (-.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
82.7%
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
73.7%
x
Compiler

Compiled 1235 to 712 computations (42.3% saved)

regimes381.0ms (1.9%)

Counts
57 → 1
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 t (*.f64 x y))) (/.f64 (*.f64 t x) (-.f64 (exp.f64 z) 1))) y))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y (expm1.f64 z)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 1 t) (/.f64 1 (log1p.f64 (*.f64 y (expm1.f64 z))))))))
(-.f64 x (/.f64 (+.f64 (log.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -1/6 z) 1/2)) 1))) (*.f64 -1 (log.f64 (/.f64 -1 y)))) t))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y z)) t)) 2))
(-.f64 x (/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 z))) (log.f64 (/.f64 -1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 y) (+.f64 (*.f64 1/2 (/.f64 y z)) (/.f64 y (pow.f64 z 2)))))) t))
(*.f64 (neg.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (/.f64 1 t))
(-.f64 x (/.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3))) t))
(-.f64 x (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) 2) t))
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) 2))
(-.f64 x (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (sqrt.f64 t)) (sqrt.f64 t)))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (pow.f64 (pow.f64 (*.f64 y (expm1.f64 z)) 3) 1/3))))
(-.f64 x (*.f64 (pow.f64 t -1/2) (/.f64 (log1p.f64 (*.f64 z (fma.f64 z (fma.f64 y 1/2 (*.f64 (*.f64 y z) 1/6)) y))) (sqrt.f64 t))))
(-.f64 x (*.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 (sqrt.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) t)))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

207.0ms
z
37.0ms
y
37.0ms
t
36.0ms
x
29.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1y
99.0%1z
99.0%1t
99.0%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
99.0%1(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
99.0%1(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
99.0%1(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
99.0%1(exp.f64 z)
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes313.0ms (1.5%)

Counts
38 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 t (*.f64 x y))) (/.f64 (*.f64 t x) (-.f64 (exp.f64 z) 1))) y))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))
Outputs
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t))
Calls

5 calls:

119.0ms
x
70.0ms
t
68.0ms
y
46.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
90.1%3x
92.7%3y
93.9%2z
89.6%3t
93.9%2(exp.f64 z)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes140.0ms (0.7%)

Counts
36 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 t (*.f64 x y))) (/.f64 (*.f64 t x) (-.f64 (exp.f64 z) 1))) y))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) (neg.f64 t))
Outputs
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y)))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
Calls

2 calls:

130.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
93.8%2z
93.8%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes187.0ms (0.9%)

Counts
33 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
Outputs
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t))
Calls

2 calls:

179.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
92.6%2z
92.6%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes55.0ms (0.3%)

Counts
32 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) (neg.f64 t))
Outputs
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t))
Calls

2 calls:

47.0ms
z
6.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
92.5%2z
92.5%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes99.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y z))) (/.f64 1 t))
(-.f64 x (*.f64 (/.f64 1 t) (log1p.f64 (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 (*.f64 y (-.f64 (exp.f64 z) 1)) t))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 t x)))))
(*.f64 x (-.f64 1 (*.f64 y (/.f64 (expm1.f64 z) (*.f64 x t)))))
(*.f64 x (-.f64 1 (/.f64 (log1p.f64 (*.f64 y z)) (*.f64 t x))))
(/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) (neg.f64 t))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 (/.f64 x (expm1.f64 z)) (/.f64 t y)))))
(*.f64 x (-.f64 1 (/.f64 1 (/.f64 (*.f64 x t) (log1p.f64 (*.f64 y z))))))
Outputs
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

2 calls:

57.0ms
(exp.f64 z)
40.0ms
z
Results
AccuracySegmentsBranch
92.2%2z
92.2%2(exp.f64 z)
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes26.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Outputs
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

1 calls:

24.0ms
z
Results
AccuracySegmentsBranch
92.2%2z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes73.0ms (0.4%)

Counts
17 → 1
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
Outputs
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
Calls

2 calls:

60.0ms
z
12.0ms
y
Results
AccuracySegmentsBranch
87.6%1y
87.6%1z
Compiler

Compiled 10 to 8 computations (20% saved)

regimes131.0ms (0.6%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 y (/.f64 z t)))
(-.f64 x (*.f64 z (/.f64 y t)))
(-.f64 x (/.f64 y (/.f64 t z)))
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 1 (/.f64 t (*.f64 y z))))
(*.f64 x (-.f64 1 (*.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 x (*.f64 y z))))))
(*.f64 y (/.f64 (neg.f64 (expm1.f64 z)) t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(/.f64 (neg.f64 (log1p.f64 (*.f64 y z))) t)
(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
Outputs
x
(-.f64 x (*.f64 y (/.f64 z t)))
Calls

4 calls:

33.0ms
y
33.0ms
t
32.0ms
x
32.0ms
z
Results
AccuracySegmentsBranch
79.7%2t
81.4%3x
79.5%3y
83.8%2z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes22.0ms (0.1%)

Accuracy

Total -45.7b remaining (-271.7%)

Threshold costs -45.7b (-271.7%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(/.f64 y (/.f64 t z))
(/.f64 (*.f64 y z) t)
(*.f64 y (/.f64 (neg.f64 z) t))
(/.f64 (*.f64 y z) (neg.f64 t))
Outputs
x
Calls

4 calls:

6.0ms
z
6.0ms
y
5.0ms
x
5.0ms
t
Results
AccuracySegmentsBranch
73.7%1y
73.7%1t
73.7%1x
73.7%1z
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999955399451722
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999955399451722
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999955399451722
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999955399451722
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999955399451722
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-14571822.759300414
-4396406.875054878
Results
19.0ms64×256valid
2.0ms14×256invalid
3.0ms512valid
4.0ms1024valid
0.0ms256valid
Compiler

Compiled 154 to 108 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-div, time spent: 8.0ms, 43.0% of total-time
Operation ival-log, time spent: 5.0ms, 27.0% of total-time
Operation ival-exp, time spent: 2.0ms, 11.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation ival-mult, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-14571822.759300414
-4396406.875054878
Results
11.0ms61×256valid
3.0ms10×256invalid
6.0ms10×1024valid
3.0ms512valid
1.0ms1024valid
Compiler

Compiled 114 to 83 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-log, time spent: 6.0ms, 41.0% of total-time
Operation ival-exp, time spent: 4.0ms, 28.0% of total-time
Operation ival-div, time spent: 1.0ms, 7.0% of total-time
Operation ival-sub, time spent: 1.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time
Operation ival-mult, time spent: 1.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify46.0ms (0.2%)

Algorithm
egg-herbie
Rules
152×neg-mul-1
150×*-commutative
136×unsub-neg
100×+-commutative
86×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086931
1141931
2206931
3267931
4369931
5528931
6586931
7622931
8666931
9702931
10723931
11727931
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -7200000) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(if (<=.f64 z -11200000) x (-.f64 x (*.f64 y (/.f64 z t))))
x
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/2 y) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 1/6 y)))))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 y 1/6)))))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (+.f64 1 (/.f64 -1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (+.f64 (exp.f64 z) -1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 y 1/6)))))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (+.f64 1 (/.f64 1 (*.f64 t (/.f64 (-.f64 (/.f64 x (-.f64 1 (exp.f64 z))) (*.f64 1/2 (*.f64 x y))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 z (+.f64 (*.f64 1/24 (*.f64 y z)) (*.f64 y 1/6)))))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (-.f64 1 (/.f64 1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (-.f64 (exp.f64 z) 1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 (*.f64 y z) 1/6)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (+.f64 1 (/.f64 -1 (*.f64 t (/.f64 (+.f64 (*.f64 1/2 (*.f64 x y)) (/.f64 x (+.f64 (exp.f64 z) -1))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 (*.f64 y z) 1/6)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (*.f64 x (+.f64 1 (/.f64 1 (*.f64 t (/.f64 (-.f64 (/.f64 x (-.f64 1 (exp.f64 z))) (*.f64 1/2 (*.f64 x y))) y))))) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 (*.f64 y z) 1/6)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 1/6 (*.f64 y z)) (*.f64 1/2 y)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 z (+.f64 (*.f64 y 1/2) (*.f64 (*.f64 y z) 1/6)))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 y (*.f64 1/2 (*.f64 y z))))) t)))
(if (<=.f64 (exp.f64 z) 0) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z -7200000) (-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t))) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(-.f64 x (*.f64 y (/.f64 (expm1.f64 z) t)))
(if (<=.f64 z -11200000) x (-.f64 x (*.f64 y (/.f64 z t))))
x
Compiler

Compiled 271 to 178 computations (34.3% saved)

soundness1.4s (6.9%)

Rules
3184×fma-neg
1752×prod-diff
1496×fma-neg
1348×fma-define
1318×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040439
1663415
077026417
1215221712
2693821464
076912
1161832
2423736
31139734
43217648
55929648
66632648
76888648
87095648
97228648
107300648
0115434785
1319133184
029288
1435280
25960280
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 402 to 211 computations (47.5% saved)

end0.0ms (0%)

preprocess181.0ms (0.9%)

Compiler

Compiled 594 to 308 computations (48.1% saved)

Profiling

Loading profile data...